Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 2.4min)

analyze950.0ms (0.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 61 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 748.0ms
...c/correct-round.rkt:119:19: 221.0ms (29.6% of total)
ival-add: 177.0ms (23.7% of total)
ival-pow: 102.0ms (13.6% of total)
ival-div: 80.0ms (10.7% of total)
ival-mult: 62.0ms (8.3% of total)
ival-<=: 31.0ms (4.1% of total)
ival-sub: 14.0ms (1.9% of total)
ival-sqrt: 13.0ms (1.7% of total)
ival-sin: 12.0ms (1.6% of total)
ival-exp: 11.0ms (1.5% of total)
ival-pi: 9.0ms (1.2% of total)
ival-neg: 8.0ms (1.1% of total)
const: 7.0ms (0.9% of total)
backward-pass: 1.0ms (0.1% of total)

sample2.0min (83.5%)

Results
39.2s3832×5exit
35.5s8256×0valid
42.0ms81×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.2min
ival-sin: 1.0min (84.4% of total)
...c/correct-round.rkt:119:19: 2.8s (3.8% of total)
ival-add: 2.4s (3.3% of total)
ival-mult: 1.7s (2.3% of total)
backward-pass: 1.4s (1.9% of total)
ival-div: 1.2s (1.6% of total)
ival-pow: 675.0ms (0.9% of total)
ival-sqrt: 322.0ms (0.4% of total)
ival-pi: 294.0ms (0.4% of total)
ival-sub: 226.0ms (0.3% of total)
ival-exp: 207.0ms (0.3% of total)
ival-<=: 119.0ms (0.2% of total)
ival-neg: 104.0ms (0.1% of total)
const: 84.0ms (0.1% of total)
Bogosity

preprocess259.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
4058×*-lowering-*.f32
4058×*-lowering-*.f64
3448×+-lowering-+.f64
3448×+-lowering-+.f32
1820×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100316
1292270
21463206
06097
116489
271170
3620968
0821468
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Call 2
Inputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))))
Outputs
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (* (* (sqrt (* (PI) 2)) (pow (+ (neg z) 15/2) (- 1/2 z))) (exp (+ z -15/2))) (* (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)) (/ 7713234287776531/10000000000000 (- 3 z)) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)) (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) (/ (PI) (sin (* (PI) z)))))
(* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8)))))
(* (/ (PI) (neg (sin (* (PI) z)))) (* (pow (+ z 15/2) (+ z 1/2)) (* (* (sqrt (* (PI) 2)) (exp (- -15/2 z))) (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1)) (/ -3147848041806007/2500000000000 (+ z 2)) (/ 7713234287776531/10000000000000 (+ z 3)) (/ -883075145810703/5000000000000 (+ z 4))) (/ 2501468655737381/200000000000000 (+ z 5)) (/ -3464277381643003/25000000000000000 (+ z 6)) (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))))
(neg (* (/ (PI) (sin (* (PI) (neg z)))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 (neg z)) 1) 7) 1/2) (+ (- (- 1 (neg z)) 1) 1/2))) (exp (neg (+ (+ (- (- 1 (neg z)) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 (neg z)) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 (neg z)) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 (neg z)) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 (neg z)) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 (neg z)) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 (neg z)) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 (neg z)) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 (neg z)) 1) 8))))))
(* (/ (PI) (sin (* (PI) z))) (* (pow (+ z 15/2) (+ z 1/2)) (* (* (sqrt (* (PI) 2)) (exp (- -15/2 z))) (sum5 (sum5 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ z 1)) (/ -3147848041806007/2500000000000 (+ z 2)) (/ 7713234287776531/10000000000000 (+ z 3)) (/ -883075145810703/5000000000000 (+ z 4))) (/ 2501468655737381/200000000000000 (+ z 5)) (/ -3464277381643003/25000000000000000 (+ z 6)) (/ 2496092394504893/250000000000000000000 (+ z 7)) (/ 3764081837873279/25000000000000000000000 (+ z 8))))))

explain1.2s (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
10-0-(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
10-0-(sin.f64 (*.f64 (PI.f64) z))
10-1(-1.649718656232214e-8)(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
00-0-(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
00-0-(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
00-0-(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
00-0-#s(literal 2496092394504893/250000000000000000000 binary64)
00-0-#s(literal 4 binary64)
00-0-(*.f64 (PI.f64) #s(literal 2 binary64))
00-0-(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
00-0-(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
00-0-#s(literal 2501468655737381/200000000000000 binary64)
00-0-#s(literal -3464277381643003/25000000000000000 binary64)
00-0-#s(literal -3147848041806007/2500000000000 binary64)
00-0-(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
00-0-#s(literal 5 binary64)
00-0-#s(literal -883075145810703/5000000000000 binary64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
00-0-(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
00-0-(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
00-0-(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
00-0-(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
00-0-#s(literal 2 binary64)
00-0-(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
00-0-(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
00-0-#s(literal 6 binary64)
00-0-(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
00-0-z
00-0-(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
00-0-#s(literal 6765203681218851/10000000000000 binary64)
00-0-#s(literal 3764081837873279/25000000000000000000000 binary64)
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
00-0-(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
00-0-#s(literal 1/2 binary64)
00-0-#s(literal 7 binary64)
00-0-(*.f64 (PI.f64) z)
00-0-#s(literal 7713234287776531/10000000000000 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
00-0-(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
00-0-#s(literal 9999999999998099/10000000000000000 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
00-0-#s(literal 8 binary64)
00-0-(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
Results
754.0ms470×1valid
25.0ms42×0valid
Compiler

Compiled 1914 to 182 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 529.0ms
...c/correct-round.rkt:119:19: 160.0ms (30.2% of total)
ival-add: 113.0ms (21.3% of total)
ival-div: 71.0ms (13.4% of total)
backward-pass: 58.0ms (11% of total)
ival-mult: 45.0ms (8.5% of total)
ival-pow: 30.0ms (5.7% of total)
ival-sub: 10.0ms (1.9% of total)
ival-exp: 10.0ms (1.9% of total)
ival-pi: 8.0ms (1.5% of total)
ival-sin: 8.0ms (1.5% of total)
ival-sqrt: 8.0ms (1.5% of total)
const: 5.0ms (0.9% of total)
ival-neg: 5.0ms (0.9% of total)

eval18.0ms (0%)

Compiler

Compiled 75 to 58 computations (22.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶97.7%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 199 to 118 computations (40.7% saved)

simplify172.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff1792
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
✓cost-diff2048
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
✓cost-diff3136
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
✓cost-diff3136
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Rules
3844×+-lowering-+.f64
3844×+-lowering-+.f32
2798×*-lowering-*.f32
2798×*-lowering-*.f64
1672×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093988
1247958
21093904
08812904
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
z
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
2
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
6765203681218851/10000000000000
(+ (- (- 1 z) 1) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
-3147848041806007/2500000000000
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
3
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
-883075145810703/5000000000000
(+ (- (- 1 z) 1) 4)
4
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
2501468655737381/200000000000000
(+ (- (- 1 z) 1) 5)
5
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
-3464277381643003/25000000000000000
(+ (- (- 1 z) 1) 6)
6
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
Outputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
2
#s(literal 2 binary64)
(/ 7713234287776531/10000000000000 (- 3 z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(- 3 z)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (- 4 z))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(- 4 z)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (- 5 z))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(- 5 z)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(- 8 z)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(- 6 z)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (- 7 z))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(- 7 z)
(-.f64 #s(literal 7 binary64) z)
7
#s(literal 7 binary64)
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (PI.f64))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(PI)
(PI.f64)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (PI.f64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(-.f64 #s(literal 15/2 binary64) z)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
(- (- 1 z) 1)
(-.f64 #s(literal 0 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
7
#s(literal 7 binary64)
1/2
#s(literal 1/2 binary64)
(+ (- (- 1 z) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64))))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
(+.f64 #s(literal -1 binary64) (+.f64 z #s(literal -13/2 binary64)))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ (- (- 1 z) 1) 1)
(-.f64 #s(literal 1 binary64) z)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- (- 1 z) 1) 2)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize891.0ms (0.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓accuracy8.1%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
✓accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
Results
610.0ms235×1valid
34.0ms21×0valid
Compiler

Compiled 1332 to 94 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 437.0ms
ival-mult: 88.0ms (20.2% of total)
...c/correct-round.rkt:119:19: 76.0ms (17.4% of total)
ival-add: 74.0ms (17% of total)
ival-div: 60.0ms (13.7% of total)
backward-pass: 53.0ms (12.1% of total)
ival-pow: 30.0ms (6.9% of total)
ival-sub: 29.0ms (6.6% of total)
ival-exp: 11.0ms (2.5% of total)
ival-sin: 4.0ms (0.9% of total)
ival-sqrt: 4.0ms (0.9% of total)
const: 3.0ms (0.7% of total)
ival-pi: 2.0ms (0.5% of total)
ival-neg: 2.0ms (0.5% of total)

series75.0ms (0.1%)

Counts
14 → 156
Calls
Call 1
Inputs
#<alt (* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))>
#<alt (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))>
#<alt (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))>
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#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (- (- 1 z) 1)>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))>
Outputs
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
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#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))>
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#<alt (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))))))>
#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))>
#<alt (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))>
#<alt (+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))>
#<alt 1106209385320415913103082059/4200000000000000000000000>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
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#<alt 9999999999998099/10000000000000000>
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#<alt 7902188421553103227/30000000000000000>
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#<alt 9999999999998099/10000000000000000>
#<alt (- 9999999999998099/10000000000000000 (* 4919378858736341/200000000000000 (/ 1 z)))>
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#<alt 9999999999998099/10000000000000000>
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#<alt 7827144361880981797/30000000000000000>
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#<alt 9999999999998099/10000000000000000>
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#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))>
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#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 479507597606835099/10000000000000000>
#<alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))>
#<alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))>
#<alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))>
#<alt (+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
#<alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))>
Calls

39 calls:

TimeVariablePointExpression
32.0ms
z
@0
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
6.0ms
z
@0
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
4.0ms
z
@-inf
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
4.0ms
z
@inf
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
3.0ms
z
@0
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))

rewrite521.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
4208×/-lowering-/.f32
4208×/-lowering-/.f64
4144×*-lowering-*.f32
4144×*-lowering-*.f64
2368×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
093551
1824520
08355520
Stop Event
1×iter limit
1×node limit
Counts
14 → 266
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (/ -3147848041806007/2500000000000 (- 2 z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(sqrt (* (PI) 2))
(- (- 1 z) 1)
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
Outputs
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (*.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 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simplify524.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
6382×*-lowering-*.f32
6382×*-lowering-*.f64
2730×+-lowering-+.f64
2730×+-lowering-+.f32
1534×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06134895
121624638
081824638
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))
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1106209385320415913103082059/4200000000000000000000000
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479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
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9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
(+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
9999999999998099/10000000000000000
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
Outputs
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (+.f64 z #s(literal -15/2 binary64)))) (sqrt.f64 (PI.f64))))

eval228.0ms (0.2%)

Compiler

Compiled 104039 to 4272 computations (95.9% saved)

prune385.0ms (0.3%)

Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New69928727
Fresh000
Picked202
Done000
Total70128729
Accuracy
99.6%
Counts
729 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.6%
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
98.4%
(/.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))) (sin.f64 (*.f64 z (PI.f64))))
97.2%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
98.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/8400000000000000000000000 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))))
98.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -15/2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 479507597606835099/10000000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))))
98.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
▶96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
96.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (*.f64 z (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))))))
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.4%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.9%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.9%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.8%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.7%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.3%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
▶97.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
96.3%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 4724 to 2640 computations (44.1% saved)

simplify450.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff896
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))
✓cost-diff1536
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓cost-diff1536
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))
✓cost-diff0
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓cost-diff640
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
✓cost-diff1088
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓cost-diff1088
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
✓cost-diff1088
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 2 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓cost-diff0
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Rules
5916×+-lowering-+.f64
5916×+-lowering-+.f32
4560×*-lowering-*.f32
4560×*-lowering-*.f64
1664×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01291442
13381348
218141329
082971329
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(- 1 z)
1
z
(/ -3147848041806007/2500000000000 (- 2 z))
-3147848041806007/2500000000000
(- 2 z)
2
(/ 7713234287776531/10000000000000 (- 3 z))
7713234287776531/10000000000000
(- 3 z)
3
(/ -883075145810703/5000000000000 (- 4 z))
-883075145810703/5000000000000
(- 4 z)
4
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 15/2)
15/2
(/ (exp -15/2) z)
(exp -15/2)
-15/2
z
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000)
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))
(neg (+ (+ (- (- 1 z) 1) 7) 1/2))
1106209385320415913103082059/4200000000000000000000000
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000))))))
7902188421553103227/30000000000000000
(* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))
z
(+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000))))
39321001939258358983/90000000000000000
(* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))
(+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000))
2943194126470171931171/5400000000000000000
(* z 196563279258445065194677/324000000000000000000)
196563279258445065194677/324000000000000000000
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(PI)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
1
z
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -3147848041806007/2500000000000 (+ (- 1 z) 1))
-3147848041806007/2500000000000
(+ (- 1 z) 1)
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(/ 7713234287776531/10000000000000 (+ (- 1 z) 2))
7713234287776531/10000000000000
(+ (- 1 z) 2)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
3
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(/ (sin (* z (PI))) (PI))
(sin (* z (PI)))
(* z (PI))
Outputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (PI.f64)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(/ -3147848041806007/2500000000000 (- 2 z))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
2
#s(literal 2 binary64)
(/ 7713234287776531/10000000000000 (- 3 z))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(- 3 z)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (- 4 z))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(- 4 z)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (- 5 z))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(- 5 z)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(- 8 z)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(- 6 z)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (- 7 z))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(- 7 z)
(-.f64 #s(literal 7 binary64) z)
7
#s(literal 7 binary64)
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 z (PI.f64)))))
(PI)
(PI.f64)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 z (PI.f64))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* (PI) 2)
(*.f64 #s(literal 2 binary64) (PI.f64))
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))))
(* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
(* (sqrt 2) (sqrt 15/2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
(sqrt 2)
(sqrt.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(sqrt 15/2)
(sqrt.f64 #s(literal 15/2 binary64))
15/2
#s(literal 15/2 binary64)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(exp -15/2)
(exp.f64 #s(literal -15/2 binary64))
-15/2
#s(literal -15/2 binary64)
z
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))
(/.f64 (*.f64 (/.f64 (*.f64 (PI.f64) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
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(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- 1 z) 4)
(-.f64 #s(literal 5 binary64) z)
4
#s(literal 4 binary64)
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- 1 z) 5)
(-.f64 #s(literal 6 binary64) z)
5
#s(literal 5 binary64)
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- 1 z) 7)
(-.f64 #s(literal 8 binary64) z)
7
#s(literal 7 binary64)
(/ (sin (* z (PI))) (PI))
(/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))
(sin (* z (PI)))
(sin.f64 (*.f64 z (PI.f64)))
(* z (PI))
(*.f64 z (PI.f64))

localize1.2s (0.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.3%
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy99.1%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓accuracy98.5%
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
✓accuracy98.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓accuracy8.1%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
✓accuracy99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓accuracy99.2%
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.3%
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
Results
885.0ms240×1valid
30.0ms16×0valid
Compiler

Compiled 1647 to 130 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 570.0ms
...c/correct-round.rkt:119:19: 119.0ms (20.9% of total)
ival-add: 84.0ms (14.7% of total)
backward-pass: 81.0ms (14.2% of total)
ival-mult: 75.0ms (13.1% of total)
ival-div: 70.0ms (12.3% of total)
ival-pow: 44.0ms (7.7% of total)
ival-sub: 37.0ms (6.5% of total)
ival-exp: 21.0ms (3.7% of total)
ival-sqrt: 21.0ms (3.7% of total)
ival-sin: 10.0ms (1.8% of total)
const: 4.0ms (0.7% of total)
ival-neg: 3.0ms (0.5% of total)
ival-pi: 2.0ms (0.4% of total)

series49.0ms (0%)

Counts
29 → 288
Calls
Call 1
Inputs
#<alt (* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))>
#<alt (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z))>
#<alt (* (sqrt 2) (sqrt 15/2))>
#<alt (sqrt 2)>
#<alt (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))>
#<alt (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000)>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))>
#<alt (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))>
#<alt (* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000))))))>
#<alt (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))>
#<alt (/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))>
#<alt (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (sqrt (PI))>
#<alt (/ (exp -15/2) z)>
#<alt (- (- 1 z) 1)>
#<alt (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))>
#<alt (sqrt (* 2 (PI)))>
#<alt (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))>
Outputs
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
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#<alt (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))>
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#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))>
#<alt (+ (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))>
#<alt (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (sqrt (PI))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (+ (* z (+ (* z (+ (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (* 1/2 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))))) (+ (* -1/6 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (exp 15/2)) (* -1 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))))) (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))>
#<alt 469507597606837/10000000000000>
#<alt (+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt (/ 5826188486005177/10000000000000 z)>
#<alt (/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)>
#<alt (/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)>
#<alt (/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)>
#<alt (/ 5826188486005177/10000000000000 z)>
#<alt (/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (/ (exp -15/2) z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt 469507597606837/10000000000000>
#<alt (+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))>
#<alt (+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))>
#<alt (/ 5826188486005177/10000000000000 z)>
#<alt (/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)>
#<alt (/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)>
#<alt (/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)>
#<alt (/ 5826188486005177/10000000000000 z)>
#<alt (/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)>
#<alt (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))>
#<alt 12777243138120953/60000000000000>
#<alt (+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))>
#<alt (+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)>
#<alt (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)>
#<alt (/ -47576671969241/80000000000 z)>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))>
#<alt (* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))>
Calls

72 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
4.0ms
z
@0
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@-inf
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
2.0ms
z
@inf
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@0
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))

rewrite454.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
4748×*-lowering-*.f32
4748×*-lowering-*.f64
3636×/-lowering-/.f32
3636×/-lowering-/.f64
2448×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129755
11045722
08200722
Stop Event
1×iter limit
1×node limit
Counts
29 → 354
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(* (* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (* (sqrt 2) (sqrt 15/2)) (/ (exp -15/2) z))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000))
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) 1106209385320415913103082059/4200000000000000000000000)
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000))))))
(* z (+ 39321001939258358983/90000000000000000 (* z (+ 2943194126470171931171/5400000000000000000 (* z 196563279258445065194677/324000000000000000000)))))
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) (+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z)))
(sqrt (* (PI) 2))
(sqrt (PI))
(/ (exp -15/2) z)
(- (- 1 z) 1)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(sqrt (* 2 (PI)))
(+ (/ 7713234287776531/10000000000000 (+ (- 1 z) 2)) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
Outputs
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 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simplify556.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
7416×*-lowering-*.f32
7416×*-lowering-*.f64
3418×+-lowering-+.f64
3418×+-lowering-+.f32
1714×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07219066
125348608
082478608
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))
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(* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))
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(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
12777243138120953/60000000000000
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/ -47576671969241/80000000000 z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
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(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (sin (* z (PI))))))
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(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64)))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64)))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64)))))))
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/.f64 (+.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z (*.f64 z z))))) z)
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(/ (exp -15/2) z)
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64)))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64)))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64)))))))
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/.f64 (+.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z (*.f64 z z))))) z)
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))
12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
(+ 12777243138120953/60000000000000 (* 53758197989915921/720000000000000 z))
(+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* 222980468271960011/8640000000000000 z))))
(+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (*.f64 z #s(literal 222980468271960011/8640000000000000 binary64)))))
(+ 12777243138120953/60000000000000 (* z (+ 53758197989915921/720000000000000 (* z (+ 222980468271960011/8640000000000000 (* 36630596080989161/4147200000000000 z))))))
(+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z (+.f64 #s(literal 53758197989915921/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 222980468271960011/8640000000000000 binary64) (*.f64 z #s(literal 36630596080989161/4147200000000000 binary64)))))))
(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal 47576671969241/80000000000 binary64) (/.f64 #s(literal 16075101696843969/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z))
(/ (- (* -1 (/ (+ 16075101696843969/10000000000000 (* 41160703924046283/10000000000000 (/ 1 z))) z)) 47576671969241/80000000000) z)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -16075101696843969/10000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 41160703924046283/10000000000000 binary64) z))) z) #s(literal -47576671969241/80000000000 binary64)) z)
(/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) (pow z 2))) (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z)))) z)
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -41160703924046283/10000000000000 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 95223707106196353/10000000000000 binary64) z))) (*.f64 z z)) (+.f64 #s(literal 47576671969241/80000000000 binary64) (/.f64 #s(literal 16075101696843969/10000000000000 binary64) z))) z)
(/ -47576671969241/80000000000 z)
(/.f64 #s(literal -47576671969241/80000000000 binary64) z)
(* -1 (/ (+ 47576671969241/80000000000 (* 16075101696843969/10000000000000 (/ 1 z))) z))
(/.f64 (+.f64 #s(literal 47576671969241/80000000000 binary64) (/.f64 #s(literal 16075101696843969/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ 47576671969241/80000000000 (+ (* 16075101696843969/10000000000000 (/ 1 z)) (/ 41160703924046283/10000000000000 (pow z 2)))) z))
(/.f64 (+.f64 #s(literal 47576671969241/80000000000 binary64) (+.f64 (/.f64 #s(literal 16075101696843969/10000000000000 binary64) z) (/.f64 #s(literal 41160703924046283/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ 47576671969241/80000000000 (* -1 (/ (- (* -1 (/ (+ 41160703924046283/10000000000000 (* 95223707106196353/10000000000000 (/ 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(/.f64 (-.f64 #s(literal 47576671969241/80000000000 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 41160703924046283/10000000000000 binary64) (/.f64 #s(literal 95223707106196353/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) z)) #s(literal -16075101696843969/10000000000000 binary64)) z)) (-.f64 #s(literal 0 binary64) z))

eval184.0ms (0.1%)

Compiler

Compiled 71438 to 3527 computations (95.1% saved)

prune6.4s (4.5%)

Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New69622718
Fresh14923
Picked505
Done000
Total71531746
Accuracy
99.6%
Counts
746 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))) (*.f64 z (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (exp.f64 #s(literal 15/2 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/8400000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))))))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
98.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (+.f64 #s(literal 12777243138120953/60000000000000 binary64) (*.f64 z #s(literal 53758197989915921/720000000000000 binary64)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
▶97.6%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 12777243138120953/60000000000000 binary64)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.4%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.6%
(/.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
97.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
98.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 #s(literal -15/2 binary64))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/8400000000000000000000000 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))))))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (*.f64 z (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
98.7%
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.8%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
▶98.5%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.7%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.3%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
98.6%
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
97.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
97.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
▶97.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
97.7%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
▶97.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
97.6%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
97.7%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) z)))
Compiler

Compiled 3448 to 2136 computations (38.1% saved)

simplify613.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff768
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 12777243138120953/60000000000000 binary64)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))
✓cost-diff1408
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 12777243138120953/60000000000000 binary64)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓cost-diff1408
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 12777243138120953/60000000000000 binary64)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
✓cost-diff0
(*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))
✓cost-diff0
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64)))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
✓cost-diff128
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓cost-diff128
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
✓cost-diff128
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓cost-diff0
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
✓cost-diff0
(*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓cost-diff0
(sqrt.f64 #s(literal 15 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Rules
4680×*-lowering-*.f32
4680×*-lowering-*.f64
3754×+-lowering-+.f64
3754×+-lowering-+.f32
1502×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021060
1251969
21109953
36849953
08244953
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))))
7902188421553103227/30000000000000000
(* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))
z
(+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))
39321001939258358983/90000000000000000
(* z 2943194126470171931171/5400000000000000000)
2943194126470171931171/5400000000000000000
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(* (sqrt 15) (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
(sqrt 15)
15
(* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(/ (exp -15/2) z)
(exp -15/2)
-15/2
z
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(* (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z)))
(* (sqrt 2) (sqrt 15/2))
(sqrt 2)
2
(sqrt 15/2)
15/2
(* (exp -15/2) (/ 1 z))
(exp -15/2)
-15/2
(/ 1 z)
1
z
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(* (+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000))
7902188421553103227/30000000000000000
(* z 39321001939258358983/90000000000000000)
z
39321001939258358983/90000000000000000
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(PI)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
1
z
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000)
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
9999999999998099/10000000000000000
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -3147848041806007/2500000000000 (+ (- 1 z) 1))
-3147848041806007/2500000000000
(+ (- 1 z) 1)
12777243138120953/60000000000000
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
2501468655737381/200000000000000
(+ (- 1 z) 4)
4
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
-3464277381643003/25000000000000000
(+ (- 1 z) 5)
5
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
3764081837873279/25000000000000000000000
(+ (- 1 z) 7)
7
(/ (sin (* z (PI))) (PI))
(sin (* z (PI)))
(* z (PI))
Outputs
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
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(+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
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(+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 #s(literal 6418621569060470797/30000000000000000 binary64) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))))
(+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))))
(+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (+.f64 #s(literal 6418621569060470797/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))))
(+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000)
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) #s(literal 6418621569060470797/30000000000000000 binary64)))
(+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(/ 6765203681218851/10000000000000 (- 1 z))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(/ -3147848041806007/2500000000000 (+ (- 1 z) 1))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- 1 z) 1)
(-.f64 #s(literal 2 binary64) z)
12777243138120953/60000000000000
#s(literal 12777243138120953/60000000000000 binary64)
(+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))
(+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))
(/ 2501468655737381/200000000000000 (+ (- 1 z) 4))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- 1 z) 4)
(-.f64 #s(literal 5 binary64) z)
4
#s(literal 4 binary64)
(/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- 1 z) 5)
(-.f64 #s(literal 6 binary64) z)
5
#s(literal 5 binary64)
(+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- 1 z) 7)
(-.f64 #s(literal 8 binary64) z)
7
#s(literal 7 binary64)
(/ (sin (* z (PI))) (PI))
(/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))
(sin (* z (PI)))
(sin.f64 (*.f64 z (PI.f64)))
(* z (PI))
(*.f64 z (PI.f64))

localize651.0ms (0.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) #s(literal 12777243138120953/60000000000000 binary64)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64))))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 7 binary64))))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.3%
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy99.1%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓accuracy98.5%
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
✓accuracy99.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)))
✓accuracy99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓accuracy98.8%
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
✓accuracy99.4%
(*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓accuracy99.2%
(/.f64 (exp.f64 #s(literal -15/2 binary64)) z)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.1%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓accuracy98.5%
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
Results
367.0ms256×0valid
Compiler

Compiled 1131 to 103 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
...c/correct-round.rkt:119:19: 49.0ms (24.9% of total)
ival-mult: 42.0ms (21.4% of total)
ival-add: 29.0ms (14.8% of total)
ival-div: 27.0ms (13.7% of total)
ival-pow: 15.0ms (7.6% of total)
ival-sqrt: 11.0ms (5.6% of total)
ival-sub: 9.0ms (4.6% of total)
ival-exp: 8.0ms (4.1% of total)
ival-sin: 4.0ms (2% of total)
const: 2.0ms (1% of total)
ival-pi: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0%)

Counts
25 → 240
Calls
Call 1
Inputs
#<alt (* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))))>
#<alt (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))>
#<alt (* (sqrt 15) (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))>
#<alt (sqrt 15)>
#<alt (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))>
#<alt (/ (exp -15/2) z)>
#<alt (* (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))>
#<alt (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z)))>
#<alt (* (exp -15/2) (/ 1 z))>
#<alt (* (sqrt 2) (sqrt 15/2))>
#<alt (* (+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000))>
#<alt (* z 39321001939258358983/90000000000000000)>
#<alt (/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))>
#<alt (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))>
#<alt (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (sqrt (PI))>
#<alt (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))>
#<alt (sqrt (* 2 (PI)))>
Outputs
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
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Calls

60 calls:

TimeVariablePointExpression
5.0ms
z
@0
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
4.0ms
z
@0
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))
4.0ms
z
@inf
(* (sqrt 15) (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
2.0ms
z
@0
(* (+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
2.0ms
z
@inf
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))

rewrite415.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
4688×*-lowering-*.f32
4688×*-lowering-*.f64
3638×/-lowering-/.f32
3638×/-lowering-/.f64
2614×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102486
1744423
08574423
Stop Event
1×iter limit
1×node limit
Counts
25 → 499
Calls
Call 1
Inputs
(* (+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))))
(* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))
(* (sqrt 15) (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
(sqrt 15)
(* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(/ (exp -15/2) z)
(* (* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z))) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (* (sqrt 2) (sqrt 15/2)) (* (exp -15/2) (/ 1 z)))
(* (exp -15/2) (/ 1 z))
(* (sqrt 2) (sqrt 15/2))
(* (+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000)) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ 7902188421553103227/30000000000000000 (* z 39321001939258358983/90000000000000000))
(* z 39321001939258358983/90000000000000000)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7)))))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))) 12777243138120953/60000000000000) (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5)))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(sqrt (* (PI) 2))
(sqrt (PI))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(sqrt (* 2 (PI)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) #s(literal 7902188421553103227/30000000000000000 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
(+.f64 (*.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))))
(+.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
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(*.f64 (+.f64 (/.f64 #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (-.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))))
(*.f64 (-.f64 (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 9908947294301912793614221284049/6250000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/4 binary64)))

simplify491.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6300×*-lowering-*.f32
6300×*-lowering-*.f64
2838×+-lowering-+.f64
2838×+-lowering-+.f32
2080×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06327209
122456902
279116902
081736902
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* -2129255331893733814996830001/19914854400000000000000000000000 (sqrt 15/2)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(* 2943194126470171931171/5400000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 2) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* 7902188421553103227/30000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))
(* (pow z 2) (+ (* 3464024008321714637421/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 7902188421553103227/30000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))))
(* 2943194126470171931171/5400000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 2) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -39321001939258358983/90000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -7902188421553103227/30000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z)) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -39321001939258358983/90000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1 (/ (+ (* 3464024008321714637421/25000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 7902188421553103227/30000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z))) z)) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* -2129255331893733814996830001/19914854400000000000000000000000 z))))))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (+ (* 3464024008321714637421/25000000000000000000000 (/ 1 (pow z 3))) (/ 7902188421553103227/30000000000000000 (pow z 2))))))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* -1 (/ (- (* -1 (/ (+ 7902188421553103227/30000000000000000 (* 3464024008321714637421/25000000000000000000000 (/ 1 z))) z)) 39321001939258358983/90000000000000000) z))))
7902188421553103227/30000000000000000
(+ 7902188421553103227/30000000000000000 (* 39321001939258358983/90000000000000000 z))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z))))
(+ 7902188421553103227/30000000000000000 (* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z))))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (+ (* 39321001939258358983/90000000000000000 (/ 1 z)) (/ 7902188421553103227/30000000000000000 (pow z 2)))))
(* 39321001939258358983/90000000000000000 z)
(* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z)))
(* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z)))
(* z (+ 39321001939258358983/90000000000000000 (* 2943194126470171931171/5400000000000000000 z)))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* 2943194126470171931171/5400000000000000000 (pow z 2))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* (pow z 2) (+ 2943194126470171931171/5400000000000000000 (* 39321001939258358983/90000000000000000 (/ 1 z))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (exp -15/2) z) (sqrt (PI))))
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(/ (exp -15/2) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z)
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1106209385320415913103082059/4200000000000000000000000
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6418621569060470797/30000000000000000
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6418621569060470797/30000000000000000
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(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
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(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
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(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
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(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
469507597606837/10000000000000
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/ 5826188486005177/10000000000000 z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
Outputs
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(+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64))))))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64)))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
469507597606837/10000000000000
#s(literal 469507597606837/10000000000000 binary64)
(+ 469507597606837/10000000000000 (* 904338909853211/2500000000000 z))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z #s(literal 904338909853211/2500000000000 binary64)))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z #s(literal 2076511864126339/4000000000000 binary64)))))
(+ 469507597606837/10000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(+.f64 #s(literal 469507597606837/10000000000000 binary64) (*.f64 z (+.f64 #s(literal 904338909853211/2500000000000 binary64) (*.f64 z (+.f64 #s(literal 2076511864126339/4000000000000 binary64) (*.f64 z #s(literal 23912966683069397/40000000000000 binary64)))))))
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (/ 43600364987677261/10000000000000 (pow z 2)))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)))) z)
(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
(/.f64 (+.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z (*.f64 z z))))) z)
(/ 5826188486005177/10000000000000 z)
(/.f64 #s(literal 5826188486005177/10000000000000 binary64) z)
(/ (+ 5826188486005177/10000000000000 (* 3683516130645841/2000000000000 (/ 1 z))) z)
(/.f64 (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 3683516130645841/2000000000000 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (+ (* 43600364987677261/10000000000000 (/ 1 z)) (/ 93965933656573373/10000000000000 (pow z 2)))) z)) 5826188486005177/10000000000000) z))
(/.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 0 binary64) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))

eval222.0ms (0.2%)

Compiler

Compiled 53409 to 2851 computations (94.7% saved)

prune124.0ms (0.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New77311784
Fresh161026
Picked415
Done000
Total79322815
Accuracy
99.6%
Counts
815 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.4%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
96.3%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 255590905325635605746351952839/705600000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
▶98.8%
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
98.0%
(/.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64))))
97.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
97.6%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
▶97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
98.7%
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (sin.f64 (*.f64 (PI.f64) z)))))
98.8%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64))))))))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64))))))) (sin.f64 (*.f64 (PI.f64) z)))))
97.7%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
▶97.6%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.3%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.2%
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
▶97.8%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
✓97.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
Compiler

Compiled 2581 to 1548 computations (40% saved)

simplify264.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff1792
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
✓cost-diff2048
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
✓cost-diff3008
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
✓cost-diff3008
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
✓cost-diff384
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64))))
✓cost-diff640
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓cost-diff640
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))
✓cost-diff640
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
✓cost-diff0
(+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))
✓cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z)
✓cost-diff0
(sqrt.f64 #s(literal 15 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
✓cost-diff0
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
✓cost-diff0
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
Rules
4442×*-lowering-*.f32
4442×*-lowering-*.f64
4312×+-lowering-+.f64
4312×+-lowering-+.f32
1906×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341496
13721313
215821252
082261252
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI)) (/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))))
(* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI))
(+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
7902188421553103227/30000000000000000
(+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))
z
(+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))
39321001939258358983/90000000000000000
(* z 2943194126470171931171/5400000000000000000)
2943194126470171931171/5400000000000000000
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
-3464277381643003/25000000000000000
(- 6 z)
6
(/ 2496092394504893/250000000000000000000 (- 7 z))
2496092394504893/250000000000000000000
(- 7 z)
7
(PI)
(/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))))
(sin (* z (PI)))
(* z (PI))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(* (sqrt 15) (/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z))
(sqrt 15)
15
(/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z)
(* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2))
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(exp -15/2)
-15/2
z
(* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))
1106209385320415913103082059/4200000000000000000000000
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))
z
(+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))
102757979785251069442117317613/235200000000000000000000000
(* z 64608921419941589693928044520019/118540800000000000000000000000)
64608921419941589693928044520019/118540800000000000000000000000
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (- 15/2 z) (- 1/2 z))
(- 15/2 z)
15/2
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(sqrt (* 2 (PI)))
(* 2 (PI))
2
(PI)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(+ 1/2 (+ (- 1 z) 6))
1/2
(+ (- 1 z) 6)
(- 1 z)
1
z
6
(+ (- 1 z) -1/2)
-1/2
(exp (+ 1/2 (+ (- 1 z) 6)))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))
1106209385320415913103082059/4200000000000000000000000
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))))
(+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))
102757979785251069442117317613/235200000000000000000000000
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))
(+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))
64608921419941589693928044520019/118540800000000000000000000000
(* z 4027292589444183035165374538123333/6638284800000000000000000000000)
4027292589444183035165374538123333/6638284800000000000000000000000
(/ (sin (* z (PI))) (PI))
(sin (* z (PI)))
(* z (PI))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/ (PI) (sin (* (PI) z)))
(PI)
(sin (* (PI) z))
(* (PI) z)
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(sqrt (* (PI) 2))
(* (PI) 2)
2
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(+ (- (- 1 z) 1) 7)
(- (- 1 z) 1)
(- 1 z)
1
7
1/2
(+ (- (- 1 z) 1) 1/2)
(exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))
(neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))
(+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)
(+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7)
(/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1)))
(- 1 (* (+ z 1) (+ z 1)))
(* (+ z 1) (+ z 1))
(+ z 1)
(+ 1 (+ z 1))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
6765203681218851/10000000000000
(+ (- (- 1 z) 1) 1)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
-3147848041806007/2500000000000
(+ (- (- 1 z) 1) 2)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
7713234287776531/10000000000000
(+ (- (- 1 z) 1) 3)
3
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
-883075145810703/5000000000000
(+ (- (- 1 z) 1) 4)
4
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
2501468655737381/200000000000000
(+ (- (- 1 z) 1) 5)
5
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
-3464277381643003/25000000000000000
(+ (- (- 1 z) 1) 6)
6
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
2496092394504893/250000000000000000000
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
3764081837873279/25000000000000000000000
(+ (- (- 1 z) 1) 8)
8
Outputs
(/ (* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI)) (/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))))
(/.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI))
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))))) (PI.f64))
(+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))))
(+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))
7902188421553103227/30000000000000000
#s(literal 7902188421553103227/30000000000000000 binary64)
(+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))
(+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))
(* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000)))
(*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))
z
(+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))
(+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))
39321001939258358983/90000000000000000
#s(literal 39321001939258358983/90000000000000000 binary64)
(* z 2943194126470171931171/5400000000000000000)
(*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))
2943194126470171931171/5400000000000000000
#s(literal 2943194126470171931171/5400000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(- 8 z)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)
(+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))
(+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))
(/ -3464277381643003/25000000000000000 (- 6 z))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(- 6 z)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (- 7 z))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(- 7 z)
(-.f64 #s(literal 7 binary64) z)
7
#s(literal 7 binary64)
(PI)
(PI.f64)
(/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))))
(/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(sin (* z (PI)))
(sin.f64 (*.f64 z (PI.f64)))
(* z (PI))
(*.f64 z (PI.f64))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(* (sqrt 15) (/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z))
(*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))))
(sqrt 15)
(sqrt.f64 #s(literal 15 binary64))
15
#s(literal 15 binary64)
(/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))
(* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(exp -15/2)
(exp.f64 #s(literal -15/2 binary64))
-15/2
#s(literal -15/2 binary64)
z
(* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 z (PI.f64))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))
(*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))
z
(+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))
(+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))
102757979785251069442117317613/235200000000000000000000000
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)
(* z 64608921419941589693928044520019/118540800000000000000000000000)
(*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))
64608921419941589693928044520019/118540800000000000000000000000
#s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(PI)
(PI.f64)
(/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (- 15/2 z) (- 1/2 z))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(- 15/2 z)
(-.f64 #s(literal 15/2 binary64) z)
15/2
#s(literal 15/2 binary64)
(- 1/2 z)
(-.f64 #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(exp (- 15/2 z))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))) (/ (sin (* z (PI))) (PI)))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (/.f64 (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* 2 (PI)))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* 2 (PI))
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
(pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ 1/2 (+ (- 1 z) 6))
(-.f64 #s(literal 15/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ (- 1 z) 6)
(-.f64 #s(literal 7 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
6
#s(literal 6 binary64)
(+ (- 1 z) -1/2)
(-.f64 #s(literal 1/2 binary64) z)
-1/2
#s(literal -1/2 binary64)
(exp (+ 1/2 (+ (- 1 z) 6)))
(exp.f64 (-.f64 #s(literal 15/2 binary64) z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))
(+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))
1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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102757979785251069442117317613/235200000000000000000000000
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))
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(+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))
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64608921419941589693928044520019/118540800000000000000000000000
#s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)
(* z 4027292589444183035165374538123333/6638284800000000000000000000000)
(*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))
4027292589444183035165374538123333/6638284800000000000000000000000
#s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)
(/ (sin (* z (PI))) (PI))
(/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))
(sin (* z (PI)))
(sin.f64 (*.f64 z (PI.f64)))
(* z (PI))
(*.f64 z (PI.f64))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64)))))) (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (PI.f64))) (sin.f64 (*.f64 z (PI.f64))))
(/ (PI) (sin (* (PI) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI)
(PI.f64)
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
z
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (/.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (exp.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64))))))))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal 15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64))))))
(* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt (* (PI) 2))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+ (+ (- (- 1 z) 1) 7) 1/2)
(-.f64 #s(literal 15/2 binary64) z)
(+ (- (- 1 z) 1) 7)
(-.f64 #s(literal 7 binary64) z)
(- (- 1 z) 1)
(-.f64 #s(literal 0 binary64) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
7
#s(literal 7 binary64)
1/2
#s(literal 1/2 binary64)
(+ (- (- 1 z) 1) 1/2)
(-.f64 #s(literal 1/2 binary64) z)
(exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))
(exp.f64 (-.f64 #s(literal -15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64)))))
(neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))
(-.f64 #s(literal -15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64))))
(+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)
(+.f64 #s(literal 15/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64))))
(+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7)
(+.f64 #s(literal 7 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64))))
(/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z))) (+.f64 z #s(literal 2 binary64)))
(- 1 (* (+ z 1) (+ z 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) z)))
(* (+ z 1) (+ z 1))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))
(+ z 1)
(+.f64 z #s(literal 1 binary64))
(+ 1 (+ z 1))
(+.f64 z #s(literal 2 binary64))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
(+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)))))))
(+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5)))
(+.f64 (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4)))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3)))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))
(+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(+ (- (- 1 z) 1) 1)
(-.f64 #s(literal 1 binary64) z)
(/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ (- (- 1 z) 1) 2)
(-.f64 #s(literal 2 binary64) z)
(/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ (- (- 1 z) 1) 3)
(-.f64 #s(literal 3 binary64) z)
3
#s(literal 3 binary64)
(/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- (- 1 z) 1) 4)
(-.f64 #s(literal 4 binary64) z)
4
#s(literal 4 binary64)
(/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
2501468655737381/200000000000000
#s(literal 2501468655737381/200000000000000 binary64)
(+ (- (- 1 z) 1) 5)
(-.f64 #s(literal 5 binary64) z)
5
#s(literal 5 binary64)
(/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
(+ (- (- 1 z) 1) 6)
(-.f64 #s(literal 6 binary64) z)
6
#s(literal 6 binary64)
(/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
3764081837873279/25000000000000000000000
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+ (- (- 1 z) 1) 8)
(-.f64 #s(literal 8 binary64) z)
8
#s(literal 8 binary64)

localize1.5s (1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
✓accuracy95.7%
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓accuracy8.1%
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
✓accuracy8.1%
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
✓accuracy99.3%
(*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))
✓accuracy98.5%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64)))))
✓accuracy99.4%
(*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))
✓accuracy99.1%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
✓accuracy99.4%
(/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.5%
(+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))
✓accuracy98.5%
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy98.2%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))
Results
999.0ms240×1valid
37.0ms16×0valid
Compiler

Compiled 1771 to 135 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 719.0ms
...c/correct-round.rkt:119:19: 208.0ms (28.9% of total)
ival-add: 129.0ms (17.9% of total)
ival-mult: 92.0ms (12.8% of total)
ival-div: 85.0ms (11.8% of total)
backward-pass: 72.0ms (10% of total)
ival-pow: 46.0ms (6.4% of total)
ival-exp: 32.0ms (4.4% of total)
ival-sub: 22.0ms (3.1% of total)
ival-sqrt: 17.0ms (2.4% of total)
ival-sin: 8.0ms (1.1% of total)
const: 4.0ms (0.6% of total)
ival-neg: 3.0ms (0.4% of total)
ival-pi: 2.0ms (0.3% of total)

series56.0ms (0%)

Counts
31 → 300
Calls
Call 1
Inputs
#<alt (/ (* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI)) (/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))))>
#<alt (* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI))>
#<alt (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))>
#<alt (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z))))>
#<alt (* (sqrt 15) (/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z))>
#<alt (sqrt 15)>
#<alt (/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z)>
#<alt (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2))>
#<alt (* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))>
#<alt (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))>
#<alt (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))>
#<alt (/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))) (/ (sin (* z (PI))) (PI)))>
#<alt (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))))))>
#<alt (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))>
#<alt (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))>
#<alt (* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))>
#<alt (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))>
#<alt (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))>
#<alt (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (sqrt (PI))>
#<alt (PI)>
#<alt (* z 64608921419941589693928044520019/118540800000000000000000000000)>
#<alt (sqrt (* 2 (PI)))>
#<alt (* z 4027292589444183035165374538123333/6638284800000000000000000000000)>
#<alt (- (- 1 z) 1)>
#<alt (- 1 (* (+ z 1) (+ z 1)))>
#<alt (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))>
#<alt (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))))>
Outputs
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)>
#<alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* -2129255331893733814996830001/19914854400000000000000000000000 (sqrt 15/2)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)>
#<alt (* 2943194126470171931171/5400000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))>
#<alt (* (pow z 2) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))>
#<alt (* (pow z 2) (+ (* 7902188421553103227/30000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))>
#<alt (* (pow z 2) (+ (* 3464024008321714637421/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 3) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 7902188421553103227/30000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))))>
#<alt (* 2943194126470171931171/5400000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))>
#<alt (* (pow z 2) (+ (* 39321001939258358983/90000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 2943194126470171931171/5400000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))>
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#<alt (* -1 z)>
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#<alt (* -1 z)>
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#<alt (* z (- (* -1 z) 2))>
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#<alt (* -1 (pow z 2))>
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Calls

75 calls:

TimeVariablePointExpression
16.0ms
z
@-inf
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))))
2.0ms
z
@inf
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
2.0ms
z
@-inf
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
2.0ms
z
@-inf
(* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
2.0ms
z
@inf
(* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))

rewrite699.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
4144×/-lowering-/.f32
4144×/-lowering-/.f64
4048×*-lowering-*.f32
4048×*-lowering-*.f64
2372×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0134748
11056698
08352698
Stop Event
1×iter limit
1×node limit
Counts
31 → 405
Calls
Call 1
Inputs
(/ (* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI)) (/ (sin (* z (PI))) (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))))
(* (+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))) (PI))
(+ (+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z)))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(+ 7902188421553103227/30000000000000000 (+ (* z (+ 39321001939258358983/90000000000000000 (* z 2943194126470171931171/5400000000000000000))) (/ 3764081837873279/25000000000000000000000 (- 8 z))))
(* (sqrt 15) (/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z))
(sqrt 15)
(/ (* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2)) z)
(* (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (exp -15/2))
(* (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))))
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000)))
(+ 102757979785251069442117317613/235200000000000000000000000 (* z 64608921419941589693928044520019/118540800000000000000000000000))
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000))))))) (/ (sin (* z (PI))) (PI)))
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* z 4027292589444183035165374538123333/6638284800000000000000000000000)))))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2)))
(* (/ (PI) (sin (* (PI) z))) (* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))))
(* (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2)))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))
(+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))
(+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7)))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(sqrt (* (PI) 2))
(sqrt (PI))
(PI)
(* z 64608921419941589693928044520019/118540800000000000000000000000)
(sqrt (* 2 (PI)))
(* z 4027292589444183035165374538123333/6638284800000000000000000000000)
(- (- 1 z) 1)
(- 1 (* (+ z 1) (+ z 1)))
(+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2)))
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (/ (- 1 (* (+ z 1) (+ z 1))) (+ 1 (+ z 1))) 7) 1/2))))
Outputs
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(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (PI.f64)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))
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(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 15/2 binary64)))) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))))

simplify452.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
7640×*-lowering-*.f32
7640×*-lowering-*.f64
4596×+-lowering-+.f64
4596×+-lowering-+.f32
1694×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
088210583
1326710205
0876110205
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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1106209385320415913103082059/4200000000000000000000000
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(* 64608921419941589693928044520019/118540800000000000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 2) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))
(* (pow z 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))
(* 64608921419941589693928044520019/118540800000000000000000000000 (* (/ (* (pow z 2) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 2) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z)) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
(* (pow z 2) (+ (* -1 (/ (+ (* -102757979785251069442117317613/235200000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))) (* -1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3))))) z)) (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))))
1106209385320415913103082059/4200000000000000000000000
(+ 1106209385320415913103082059/4200000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 z))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+ 1106209385320415913103082059/4200000000000000000000000 (* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z))))
(* 64608921419941589693928044520019/118540800000000000000000000000 (pow z 2))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (+ (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z)) (/ 1106209385320415913103082059/4200000000000000000000000 (pow z 2)))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (+ (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z)) (/ 1106209385320415913103082059/4200000000000000000000000 (pow z 2)))))
(* 64608921419941589693928044520019/118540800000000000000000000000 (pow z 2))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (+ (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z)) (/ 1106209385320415913103082059/4200000000000000000000000 (pow z 2)))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (+ (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z)) (/ 1106209385320415913103082059/4200000000000000000000000 (pow z 2)))))
(* 102757979785251069442117317613/235200000000000000000000000 z)
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z)))
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z)))
(* z (+ 102757979785251069442117317613/235200000000000000000000000 (* 64608921419941589693928044520019/118540800000000000000000000000 z)))
(* 64608921419941589693928044520019/118540800000000000000000000000 (pow z 2))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* 64608921419941589693928044520019/118540800000000000000000000000 (pow z 2))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* (pow z 2) (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
102757979785251069442117317613/235200000000000000000000000
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(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* z (+ 64608921419941589693928044520019/118540800000000000000000000000 (* 102757979785251069442117317613/235200000000000000000000000 (/ 1 z))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
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(* 4027292589444183035165374538123333/6638284800000000000000000000000 (* (/ (* (pow z 3) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2))) (* (exp (- 15/2 z)) (sin (* z (PI))))) (sqrt (pow (PI) 3))))
(* (pow z 3) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI)))))))))
(* (pow z 3) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (pow z 2) (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* z (* (exp (- 15/2 z)) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (* (exp (- 15/2 z)) (sin (* z (PI))))))))))
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(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (sqrt 2)) (exp (- 15/2 z))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 64608921419941589693928044520019/118540800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* 4027292589444183035165374538123333/6638284800000000000000000000000 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -2 z)
(* z (- (* -1 z) 2))
(* z (- (* -1 z) 2))
(* z (- (* -1 z) 2))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
(* -1 (pow z 2))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
(* -1 (* (pow z 2) (+ 1 (* 2 (/ 1 z)))))
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
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1106209385320415913103082059/4200000000000000000000000
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(+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))))))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+.f64 (*.f64 z (*.f64 z (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))) (*.f64 z (+.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/6 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64))))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64)))))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64)))) (*.f64 z (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))))))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- (/ (pow (+ 1 z) 2) (+ 2 z)) (+ 15/2 (/ 1 (+ 2 z))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))
(* (sqrt (PI)) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (* (exp (- (/ (pow (- 1 (* -1 z)) 2) (- 2 (* -1 z))) (+ 15/2 (/ 1 (- 2 (* -1 z)))))) (sqrt 2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))) (+.f64 #s(literal 2 binary64) z)) (+.f64 #s(literal 15/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))))

eval275.0ms (0.2%)

Compiler

Compiled 127709 to 5579 computations (95.6% saved)

prune298.0ms (0.2%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New1226131239
Fresh9716
Picked235
Done011
Total1237241261
Accuracy
100.0%
Counts
1261 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.5%
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
98.4%
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (-.f64 #s(literal 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (-.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
98.8%
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
97.5%
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
97.2%
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
97.6%
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
97.8%
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
98.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 #s(literal 6 binary64) (-.f64 #s(literal 1 binary64) z))) (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 5 binary64)))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 z #s(literal -2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
98.7%
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.6%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
97.7%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓97.6%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
97.3%
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
97.2%
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
98.4%
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
50.2%
(*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z z)))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
✓97.8%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
✓97.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
96.7%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
Compiler

Compiled 6026 to 1330 computations (77.9% saved)

regimes62.0ms (0%)

Counts
76 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) z)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z z)))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 255590905325635605746351952839/705600000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (+.f64 (*.f64 (*.f64 z z) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (*.f64 z (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 86/10125 binary64) (+.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 3 binary64)))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))) (-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (+.f64 #s(literal 29/225 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 2 binary64))))) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 z (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)))) (exp.f64 #s(literal 15/2 binary64)))))))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

20.0ms
z
20.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Results
AccuracySegmentsBranch
98.9%1z
98.9%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 126 to 61 computations (51.6% saved)

regimes23.0ms (0%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
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(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
98.9%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes36.0ms (0%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) z)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z z)))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 255590905325635605746351952839/705600000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z #s(literal 39321001939258358983/90000000000000000 binary64)) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (*.f64 (/.f64 (PI.f64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (-.f64 #s(literal 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (-.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))))))))
(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
Outputs
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
Calls

1 calls:

30.0ms
z
Results
AccuracySegmentsBranch
98.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes46.0ms (0%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) z)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (*.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (*.f64 z #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64))))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 z (*.f64 z (+.f64 #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) z) (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z z)))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 255590905325635605746351952839/705600000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1/2 binary64)))) (exp.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 6 binary64))))) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
Outputs
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
98.4%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) z)
(/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))) z)
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) z)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64)))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
Outputs
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
Outputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
Calls

1 calls:

1.0ms
z
Results
AccuracySegmentsBranch
97.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

simplify16.0ms (0%)

Algorithm
1×egg-herbie
Rules
56×+-commutative_binary64
46×*-commutative_binary64
22×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110247
1163247
2176247
3178247
4179247
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (+.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64))))))) (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))))) (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (PI.f64) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z (+.f64 #s(literal 2943194126470171931171/5400000000000000000 binary64) (*.f64 z #s(literal 196563279258445065194677/324000000000000000000 binary64)))))))))
(/.f64 (*.f64 (+.f64 (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (*.f64 (PI.f64) (+.f64 (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (+.f64 #s(literal 158043768442354310053619837/600000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6291360310315214173820859511/14400000000000000000000000 binary64) (*.f64 z #s(literal 188364424094192633804566578533/345600000000000000000000000 binary64))))))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64))))) (PI.f64)) (*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(*.f64 (*.f64 (PI.f64) (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (sin.f64 (*.f64 z (PI.f64)))) (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))))
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal -15/2 binary64))) z))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)))

soundness2.6s (1.8%)

Rules
7640×*-lowering-*.f32
7640×*-lowering-*.f64
6382×*-lowering-*.f32
6382×*-lowering-*.f64
4748×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0134748
11056698
08352698
0129755
11045722
08200722
06134895
121624638
081824638
088210583
1326710205
0876110205
0102486
1744423
08574423
093551
1824520
08355520
06097
116489
271170
3620968
0821468
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 642 to 427 computations (33.5% saved)

preprocess59.0ms (0%)

Compiler

Compiled 744 to 336 computations (54.8% saved)

end0.0ms (0%)

Profiling

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