Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 2.4min)

analyze914.0ms (0.6%)

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: 690.0ms
...c/correct-round.rkt:119:19: 210.0ms (30.4% of total)
ival-add: 145.0ms (21% of total)
ival-div: 104.0ms (15.1% of total)
ival-pow: 77.0ms (11.2% of total)
ival-mult: 70.0ms (10.1% of total)
ival-<=: 22.0ms (3.2% of total)
ival-sub: 14.0ms (2% of total)
ival-sqrt: 11.0ms (1.6% of total)
ival-exp: 10.0ms (1.4% of total)
ival-sin: 9.0ms (1.3% of total)
ival-pi: 6.0ms (0.9% of total)
const: 6.0ms (0.9% of total)
ival-neg: 6.0ms (0.9% of total)
backward-pass: 1.0ms (0.1% of total)

sample36.6s (25.5%)

Results
30.0s3871×5exit
4.4s8256×0valid
87.0ms95×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 33.2s
ival-sin: 22.3s (67.1% of total)
...c/correct-round.rkt:119:19: 2.4s (7.2% of total)
ival-add: 1.8s (5.3% of total)
ival-mult: 1.8s (5.3% of total)
backward-pass: 1.7s (5.2% of total)
ival-div: 1.3s (4% of total)
ival-pow: 783.0ms (2.4% of total)
ival-sqrt: 297.0ms (0.9% of total)
ival-pi: 227.0ms (0.7% of total)
ival-sub: 204.0ms (0.6% of total)
ival-exp: 139.0ms (0.4% of total)
ival-<=: 126.0ms (0.4% of total)
ival-neg: 99.0ms (0.3% of total)
const: 78.0ms (0.2% of total)
Bogosity

preprocess28.9s (20.1%)

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))))))

explain56.5s (39.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2530-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
20-0-(*.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)))))
20-0-(sin.f64 (*.f64 (PI.f64) z))
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 (+.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 (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
56.0s472×1valid
24.0ms40×0valid
Compiler

Compiled 1914 to 182 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0s
...c/correct-round.rkt:119:19: 17.3s (64% of total)
ival-div: 9.5s (35% of total)
ival-add: 91.0ms (0.3% of total)
backward-pass: 61.0ms (0.2% of total)
ival-mult: 46.0ms (0.2% of total)
ival-pow: 29.0ms (0.1% of total)
ival-sub: 15.0ms (0.1% of total)
ival-exp: 10.0ms (0% of total)
ival-sin: 8.0ms (0% of total)
ival-sqrt: 8.0ms (0% of total)
ival-pi: 6.0ms (0% of total)
const: 5.0ms (0% of total)
ival-neg: 5.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 58 computations (22.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.5%
(*.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))))))
▶97.3%
(*.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)

simplify160.0ms (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)

localize737.0ms (0.5%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy97.8%
(*.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)))))
✓accuracy95.6%
(+.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))))
✓accuracy9.1%
(-.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)))
✓accuracy97.9%
(/.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)))
✓accuracy95.6%
(+.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
509.0ms236×1valid
18.0ms20×0valid
Compiler

Compiled 1332 to 94 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 363.0ms
...c/correct-round.rkt:119:19: 66.0ms (18.2% of total)
ival-add: 62.0ms (17.1% of total)
ival-div: 58.0ms (16% of total)
backward-pass: 51.0ms (14.1% of total)
ival-sub: 39.0ms (10.8% of total)
ival-mult: 33.0ms (9.1% of total)
ival-pow: 28.0ms (7.7% of total)
ival-exp: 10.0ms (2.8% of total)
ival-sqrt: 5.0ms (1.4% of total)
ival-sin: 4.0ms (1.1% of total)
const: 3.0ms (0.8% of total)
ival-pi: 2.0ms (0.6% of total)
ival-neg: 2.0ms (0.6% of total)

series167.0ms (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
95.0ms
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)))))
36.0ms
z
@inf
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
5.0ms
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)))))
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)))))
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)))))

rewrite471.0ms (0.3%)

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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simplify420.0ms (0.3%)

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)
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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))))

eval202.0ms (0.1%)

Compiler

Compiled 104039 to 4272 computations (95.9% saved)

prune266.0ms (0.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New69730727
Fresh000
Picked202
Done000
Total69930729
Accuracy
99.2%
Counts
729 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(/.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))))) (+.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)))
98.1%
(/.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))))
96.1%
(*.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))))
97.2%
(*.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))))))))))))
98.5%
(*.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)))))))
96.3%
(*.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))))))
96.1%
(*.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))))))
97.2%
(*.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) 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)))))))
96.6%
(*.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 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))
95.6%
(*.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)))
98.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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)))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (+.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))))))))
95.6%
(*.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))))))
95.7%
(*.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 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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)))))
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 (*.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)))))
98.0%
(*.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)))))
97.1%
(*.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 (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)))))
98.5%
(*.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)))))
▶98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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)))))
98.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.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)))))
98.2%
(*.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)))))
98.0%
(*.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)))))
97.5%
(*.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)))))
▶96.4%
(*.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)))))
96.9%
(*.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)))))
96.8%
(*.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)))))
96.2%
(*.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)))))
97.4%
(*.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 (*.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)))))
▶96.5%
(*.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))))
95.2%
(*.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 4862 to 2838 computations (41.6% saved)

simplify285.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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-diff128
(+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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-diff128
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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-diff128
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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)))))
✓cost-diff0
(+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff0
(+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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)))))
✓cost-diff0
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
✓cost-diff0
(+.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 #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)))))
✓cost-diff0
(*.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)))))
✓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-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)))
Rules
5434×+-lowering-+.f64
5434×+-lowering-+.f32
3998×*-lowering-*.f32
3998×*-lowering-*.f64
1528×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01312043
13251765
216501709
082261709
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (/ (* (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))
(* (* (* (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)
(* (+ 7902188421553103227/30000000000000000 (+ (/ 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 (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
7902188421553103227/30000000000000000
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3764081837873279/25000000000000000000000
(- 8 z)
8
z
(+ (/ -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)
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 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)))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
7827144361880981797/30000000000000000
(* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))
z
(+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))
314207804027640689/720000000000000
(* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))
(+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))
4708246094784852251/8640000000000000
(* z 62898174544540606049/103680000000000000)
62898174544540606049/103680000000000000
(/ 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)
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)
(* (+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 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)))))
(+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z)))
(/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))))
(+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1))
(* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z))))
99999999999961980000000003613801/100000000000000000000000000000000
(/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))
45767980848377092942628957760201/100000000000000000000000000
(* (- 1 z) (- 1 z))
(- 1 z)
1
z
(- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))
-5000000000000/3147848041806007
(/ z -3147848041806007/2500000000000)
-3147848041806007/2500000000000
(* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)
(- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z)))
9999999999998099/10000000000000000
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))
(/ 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)
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)
Outputs
(/ (* (/ (* (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)))
(/.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))) (+.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 (/.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 -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.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 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(* (/ (* (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)))))
(*.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 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 (/.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 -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(/.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 (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -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 (* 2 (PI)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
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))
(+ (+ (+ (+ 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))))
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(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 (PI.f64) z))
(* (PI) z)
(*.f64 (PI.f64) z)

localize870.0ms (0.6%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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)))
✓accuracy97.9%
(/.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)))
✓accuracy94.2%
(+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
✓accuracy99.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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)))))
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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)))
✓accuracy97.9%
(/.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)))
✓accuracy99.0%
(*.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)))))
✓accuracy98.5%
(+.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)))))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy97.9%
(/.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)))
✓accuracy99.5%
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
✓accuracy99.4%
(*.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 (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))))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.4%
(+.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))))
✓accuracy97.9%
(/.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)))))
Results
493.0ms256×0valid
Compiler

Compiled 1950 to 132 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 288.0ms
...c/correct-round.rkt:119:19: 89.0ms (30.9% of total)
ival-mult: 52.0ms (18.1% of total)
ival-div: 38.0ms (13.2% of total)
ival-add: 34.0ms (11.8% of total)
ival-sub: 34.0ms (11.8% of total)
ival-pow: 15.0ms (5.2% of total)
ival-sqrt: 11.0ms (3.8% of total)
ival-exp: 8.0ms (2.8% of total)
ival-sin: 4.0ms (1.4% of total)
const: 2.0ms (0.7% of total)
ival-pi: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series59.0ms (0%)

Counts
27 → 264
Calls
Call 1
Inputs
#<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 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 (* (+ 7902188421553103227/30000000000000000 (+ (/ 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 (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))>
#<alt (/ 3764081837873279/25000000000000000000000 (- 8 z))>
#<alt (* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 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 (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))>
#<alt (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))>
#<alt (* (+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 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 (+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 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 (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))>
#<alt (sqrt (* 2 (PI)))>
#<alt (sqrt (PI))>
#<alt (/ (exp -15/2) z)>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (sqrt (* (PI) 2))>
#<alt (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1))>
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

66 calls:

TimeVariablePointExpression
7.0ms
z
@inf
(* (+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 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)))))
5.0ms
z
@inf
(/ 3764081837873279/25000000000000000000000 (- 8 z))
3.0ms
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)))) (+ (/ 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)))
2.0ms
z
@0
(* (+ 7902188421553103227/30000000000000000 (+ (/ 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
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 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)))))

rewrite499.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
4932×*-lowering-*.f32
4932×*-lowering-*.f64
3754×/-lowering-/.f32
3754×/-lowering-/.f64
2396×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131830
11043802
08350802
Stop Event
1×iter limit
1×node limit
Counts
27 → 357
Calls
Call 1
Inputs
(/ (* (/ (* (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 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)
(* (+ 7902188421553103227/30000000000000000 (+ (/ 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 (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z))))
(/ 3764081837873279/25000000000000000000000 (- 8 z))
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 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)))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
(* (+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 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)))))
(+ (+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (/ 3764081837873279/25000000000000000000000 (- 8 z)) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (/ 2496092394504893/250000000000000000000 (- 7 z)))))
(+ (+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (/ (+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1)) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ (- 1 z) 1)))
(sqrt (* 2 (PI)))
(sqrt (PI))
(/ (exp -15/2) z)
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(sqrt (* (PI) 2))
(+ (* (- 99999999999961980000000003613801/100000000000000000000000000000000 (/ 45767980848377092942628957760201/100000000000000000000000000 (* (- 1 z) (- 1 z)))) (- -5000000000000/3147848041806007 (/ z -3147848041806007/2500000000000))) (* (- 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (- 1 z))) 1))
Outputs
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simplify451.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
6562×*-lowering-*.f32
6562×*-lowering-*.f64
3386×+-lowering-+.f64
3386×+-lowering-+.f32
1712×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07858696
126198285
081758285
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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)
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469507597606837/10000000000000
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(/ 5826188486005177/10000000000000 z)
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(/ (exp -15/2) z)
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(/ (exp -15/2) z)
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(* (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))))
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(* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))
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3239171488526100880312595937844772199/62956960836120140000000000000000000
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(* 99999999999961980000000003613801/125913921672240280000000000000000000 z)
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(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2)))))
(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (+ (* 6765203681218851/10000000000000 (/ 1 (pow z 3))) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2))))))
(* 99999999999961980000000003613801/125913921672240280000000000000000000 z)
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(* -1 (* z (- (* -1 (/ (+ 62856960836108209901745053557772199/62956960836120140000000000000000000 (+ (* 39415351792997107601807255991627/125913921672240280000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z)) 99999999999961980000000003613801/125913921672240280000000000000000000)))
Outputs
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(/.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)))
3239171488526100880312595937844772199/62956960836120140000000000000000000
#s(literal 3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64)
(+ 3239171488526100880312595937844772199/62956960836120140000000000000000000 (* 52120709903757078245430659528778613801/125913921672240280000000000000000000 z))
(+.f64 #s(literal 3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64) (*.f64 z #s(literal 52120709903757078245430659528778613801/125913921672240280000000000000000000 binary64)))
(+ 3239171488526100880312595937844772199/62956960836120140000000000000000000 (* z (+ 52120709903757078245430659528778613801/125913921672240280000000000000000000 (* 6118036922008385701629976080561/7869620104515017500000000000 z))))
(+.f64 #s(literal 3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 52120709903757078245430659528778613801/125913921672240280000000000000000000 binary64) (*.f64 z #s(literal 6118036922008385701629976080561/7869620104515017500000000000 binary64)))))
(+ 3239171488526100880312595937844772199/62956960836120140000000000000000000 (* z (+ 52120709903757078245430659528778613801/125913921672240280000000000000000000 (* z (+ 6118036922008385701629976080561/7869620104515017500000000000 (* 143656571600511264168708575049177/125913921672240280000000000000 z))))))
(+.f64 #s(literal 3239171488526100880312595937844772199/62956960836120140000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 52120709903757078245430659528778613801/125913921672240280000000000000000000 binary64) (*.f64 z (+.f64 #s(literal 6118036922008385701629976080561/7869620104515017500000000000 binary64) (*.f64 z #s(literal 143656571600511264168708575049177/125913921672240280000000000000 binary64)))))))
(* 99999999999961980000000003613801/125913921672240280000000000000000000 z)
(*.f64 z #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64))
(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64) (/.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) z)))
(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2)))))
(*.f64 z (+.f64 (/.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) z) (+.f64 #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64) (/.f64 #s(literal 39415351792997107601807255991627/125913921672240280000000000000 binary64) (*.f64 z z)))))
(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (+ (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z)) (+ (* 6765203681218851/10000000000000 (/ 1 (pow z 3))) (/ 39415351792997107601807255991627/125913921672240280000000000000 (pow z 2))))))
(*.f64 z (+.f64 (+.f64 #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64) (/.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) z)) (+.f64 (/.f64 #s(literal 39415351792997107601807255991627/125913921672240280000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (*.f64 z (*.f64 z z))))))
(* 99999999999961980000000003613801/125913921672240280000000000000000000 z)
(*.f64 z #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64))
(* z (+ 99999999999961980000000003613801/125913921672240280000000000000000000 (* 62856960836108209901745053557772199/62956960836120140000000000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 99999999999961980000000003613801/125913921672240280000000000000000000 binary64) (/.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) z)))
(* -1 (* z (- (* -1 (/ (+ 62856960836108209901745053557772199/62956960836120140000000000000000000 (* 39415351792997107601807255991627/125913921672240280000000000000 (/ 1 z))) z)) 99999999999961980000000003613801/125913921672240280000000000000000000)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) (/.f64 #s(literal 39415351792997107601807255991627/125913921672240280000000000000 binary64) z)) z)) #s(literal -99999999999961980000000003613801/125913921672240280000000000000000000 binary64))))
(* -1 (* z (- (* -1 (/ (+ 62856960836108209901745053557772199/62956960836120140000000000000000000 (+ (* 39415351792997107601807255991627/125913921672240280000000000000 (/ 1 z)) (/ 6765203681218851/10000000000000 (pow z 2)))) z)) 99999999999961980000000003613801/125913921672240280000000000000000000)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 39415351792997107601807255991627/125913921672240280000000000000 binary64) z) (+.f64 #s(literal 62856960836108209901745053557772199/62956960836120140000000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z)) #s(literal -99999999999961980000000003613801/125913921672240280000000000000000000 binary64)))

eval188.0ms (0.1%)

Compiler

Compiled 94659 to 3515 computations (96.3% saved)

prune161.0ms (0.1%)

Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New76229791
Fresh121325
Picked505
Done000
Total77942821
Accuracy
99.2%
Counts
821 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.6%
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
96.5%
(/.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) #s(literal 469507597606837/10000000000000 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)))
96.7%
(/.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)))
96.0%
(/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
98.1%
(/.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))))
95.7%
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))))) z)
▶97.8%
(*.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))))) (sin.f64 (*.f64 (PI.f64) 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 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.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 #s(literal 1 binary64) (PI.f64))))
96.4%
(*.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))))
96.1%
(*.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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
97.2%
(*.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))))))))))))
96.3%
(*.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))))))
96.1%
(*.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))))))
95.6%
(*.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)))
95.6%
(*.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))))))
98.3%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.0%
(*.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)))))
▶98.5%
(*.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)))))
6.3%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 (+.f64 #s(literal 3464024008321714637421/25000000000000000000000 binary64) (/.f64 #s(literal 5195971728131790397167/6250000000000000000000 binary64) 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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.1%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 #s(literal 3764081837873279/200000000000000000000000 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))))) (*.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)))))
98.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.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)))))
▶98.0%
(*.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)))))
96.6%
(*.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 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) (exp.f64 #s(literal 15/2 binary64))) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.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 (*.f64 (sqrt.f64 (PI.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 (*.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 (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 (*.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)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))))))) (sin.f64 (*.f64 (PI.f64) z)))))
96.2%
(*.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 (*.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)) (*.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 (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 (*.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)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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)) (*.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 (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)) (+.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)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))))) (sin.f64 (*.f64 (PI.f64) z)))))
96.2%
(*.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 (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)))))
96.2%
(*.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 (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)) (*.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))) (sin.f64 (*.f64 (PI.f64) z)))))
▶96.4%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
96.9%
(*.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)))))
96.8%
(*.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)))))
96.2%
(*.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)))))
96.5%
(*.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))))
98.2%
(*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.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 (/.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 (PI.f64) z))))
96.5%
(*.f64 (*.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))))) (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 (PI.f64) z))))
96.4%
(*.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)))
96.4%
(*.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) (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))))
96.4%
(*.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))))
96.5%
(*.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))))
96.5%
(*.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))))
▶96.4%
(*.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)))))
38.7%
(*.f64 #s(literal 7902188421553103227/30000000000000000 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 5288 to 3174 computations (40% saved)

simplify220.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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))))) (sin.f64 (*.f64 (PI.f64) z)))
✓cost-diff896
(+.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 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.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-diff1024
(/.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 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.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 #s(literal 1 binary64) (PI.f64)))
✓cost-diff1664
(*.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))))) (sin.f64 (*.f64 (PI.f64) 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 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.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 #s(literal 1 binary64) (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)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.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-diff128
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))
✓cost-diff128
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
✓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 (+.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
4778×+-lowering-+.f64
4778×+-lowering-+.f32
3472×*-lowering-*.f32
3472×*-lowering-*.f64
1538×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151354
12831294
213741294
371301294
081341294
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 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)
(* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000)
7902188421553103227/30000000000000000
-96993697018538676917941/4200000000000000000000000
(* (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
z
(- 1/2 z)
1/2
(exp (- 15/2 z))
(sin (* (PI) z))
(* (PI) z)
(* (+ (+ 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 (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (sin (* (PI) z))) (/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI))))
(/ (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (sin (* (PI) z)))
(/ (* (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)))
(sin (* (PI) z))
(* (PI) z)
(/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI)))
(+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))))
9999999999998099/10000000000000000
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z))))
(/ 6765203681218851/10000000000000 (- 1 z))
6765203681218851/10000000000000
(/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))
-3147848041806007/2500000000000
(+ 1 (- 1 z))
(+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(/ 7713234287776531/10000000000000 (+ 2 (- 1 z)))
7713234287776531/10000000000000
(+ 2 (- 1 z))
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
-883075145810703/5000000000000
(+ (- 1 z) 3)
3
(+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+ (/ 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
(/ 1 (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 (*.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 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 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)))))
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(* (/ (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (sin (* (PI) z))) (/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (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))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))
(/ (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (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 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (sin.f64 (*.f64 z (PI.f64)))))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(/.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 (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -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 (* 2 (PI)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(* 2 (PI))
(*.f64 #s(literal 2 binary64) (PI.f64))
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))
(sin (* (PI) z))
(sin.f64 (*.f64 z (PI.f64)))
(* (PI) z)
(*.f64 z (PI.f64))
(/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI)))
(*.f64 (PI.f64) (+.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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))))
(+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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)))))
(+.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 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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))))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))))
(+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.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)) (+.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))))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3))))
(+.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)) (+.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)))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 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)
(/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(+ 1 (- 1 z))
(-.f64 #s(literal 2 binary64) z)
(+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -883075145810703/5000000000000 (+ (- 1 z) 3)))
(+.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)))
(/ 7713234287776531/10000000000000 (+ 2 (- 1 z)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
7713234287776531/10000000000000
#s(literal 7713234287776531/10000000000000 binary64)
(+ 2 (- 1 z))
(-.f64 #s(literal 3 binary64) z)
(/ -883075145810703/5000000000000 (+ (- 1 z) 3))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
-883075145810703/5000000000000
#s(literal -883075145810703/5000000000000 binary64)
(+ (- 1 z) 3)
(-.f64 #s(literal 4 binary64) z)
3
#s(literal 3 binary64)
(+ (+ (/ 2501468655737381/200000000000000 (+ (- 1 z) 4)) (/ -3464277381643003/25000000000000000 (+ (- 1 z) 5))) (+ (/ 2496092394504893/250000000000000000000 (+ (- 1 z) 6)) (/ 3764081837873279/25000000000000000000000 (+ (- 1 z) 7))))
(+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 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)))))
(+ (/ 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)
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))

localize672.0ms (0.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(/.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 1 binary64) (-.f64 #s(literal 1 binary64) z)))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))))) (+.f64 (+.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 #s(literal 1 binary64) (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy98.4%
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
✓accuracy97.9%
(/.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)))))
✓accuracy99.0%
(*.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)))
✓accuracy97.9%
(/.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)))
✓accuracy99.0%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
✓accuracy98.4%
(+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy97.9%
(/.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 (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)))))
✓accuracy99.5%
(*.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))
✓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)))
✓accuracy98.4%
(+.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)))
✓accuracy97.9%
(/.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
377.0ms256×0valid
Compiler

Compiled 1520 to 116 computations (92.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
...c/correct-round.rkt:119:19: 70.0ms (31.6% of total)
ival-div: 38.0ms (17.1% of total)
ival-add: 32.0ms (14.4% of total)
ival-mult: 26.0ms (11.7% of total)
ival-pow: 16.0ms (7.2% of total)
ival-sub: 13.0ms (5.9% of total)
ival-exp: 11.0ms (5% of total)
ival-sqrt: 10.0ms (4.5% of total)
ival-sin: 2.0ms (0.9% of total)
const: 2.0ms (0.9% of total)
ival-pi: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0%)

Counts
27 → 252
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)))))>
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#<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 (* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000)>
#<alt (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))>
#<alt (PI)>
#<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)))))>
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#<alt (/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI)))>
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#<alt (sqrt (* 2 (PI)))>
Outputs
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#<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>
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#<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 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>
#<alt (+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))>
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#<alt 9999999999998099/10000000000000000>
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#<alt 9999999999998099/10000000000000000>
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#<alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (exp -15/2) (sqrt 15)) 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 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 (* (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))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
2.0ms
z
@0
(* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
2.0ms
z
@-inf
(* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
1.0ms
z
@-inf
(* (+ (+ 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)))))
1.0ms
z
@inf
(* (+ (+ 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)))))

rewrite452.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
4630×*-lowering-*.f32
4630×*-lowering-*.f64
4100×/-lowering-/.f32
4100×/-lowering-/.f64
2380×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115649
1948625
08082625
Stop Event
1×iter limit
1×node limit
Counts
27 → 413
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 15) (* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
(sqrt 15)
(* (/ (exp -15/2) z) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(/ (exp -15/2) z)
(* (+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ 7902188421553103227/30000000000000000 -96993697018538676917941/4200000000000000000000000)
(* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z))))
(PI)
(* (+ (+ 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 (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (sin (* (PI) z))) (/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI))))
(/ (+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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))))) (/ 1 (PI)))
(+ (+ 9999999999998099/10000000000000000 (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z)))) (+ (/ 7713234287776531/10000000000000 (+ 2 (- 1 z))) (/ -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)))) (sin (* (PI) z)))
(/ (* (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))
(/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6))))
(+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (+ 1 (- 1 z))))
(sqrt (* 2 (PI)))
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 #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 #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 (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))))))
(/.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 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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #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)))

simplify465.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
5486×*-lowering-*.f32
5486×*-lowering-*.f64
2392×+-lowering-+.f64
2392×+-lowering-+.f32
1680×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06058415
120827950
270877941
086257941
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
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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(* (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))
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(/ (+ 5826188486005177/10000000000000 (+ (* 3683516130645841/2000000000000 (/ 1 z)) (+ (* 93965933656573373/10000000000000 (/ 1 (pow z 3))) (/ 43600364987677261/10000000000000 (pow z 2))))) z)
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(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
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469507597606837/10000000000000
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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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (*.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 86/10125 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (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 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 #s(literal 2 binary64))) (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 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z)) (-.f64 #s(literal 0 binary64) 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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 3683516130645841/2000000000000 binary64) (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) (/.f64 #s(literal 93965933656573373/10000000000000 binary64) (*.f64 z z)))) z)) #s(literal -5826188486005177/10000000000000 binary64)) (-.f64 #s(literal 0 binary64) z))

eval554.0ms (0.4%)

Compiler

Compiled 93954 to 3866 computations (95.9% saved)

prune186.0ms (0.1%)

Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New1063201083
Fresh221537
Picked505
Done000
Total1090351125
Accuracy
99.2%
Counts
1125 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (-.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 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (+.f64 (+.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 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)))))
96.7%
(/.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)))
▶96.0%
(/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
97.5%
(/.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 #s(literal 2943194126470171931171/5400000000000000000 binary64)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.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))))))
96.8%
(*.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))))) (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 #s(literal 1 binary64) (PI.f64))))
96.6%
(*.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))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
96.4%
(*.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))))
96.5%
(*.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))))
▶98.5%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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)))))
6.3%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 (+.f64 #s(literal 3464024008321714637421/25000000000000000000000 binary64) (/.f64 #s(literal 5195971728131790397167/6250000000000000000000 binary64) 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)))))
▶98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.1%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 #s(literal 3764081837873279/200000000000000000000000 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))))) (*.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)))))
98.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.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)))))
96.0%
(*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
97.9%
(*.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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (*.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 86/10125 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (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 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
97.9%
(*.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 (PI.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 (sqrt.f64 (PI.f64)) (+.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 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
97.4%
(*.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 (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 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
96.3%
(*.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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))) (sin.f64 (*.f64 (PI.f64) z)))))
96.1%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
96.9%
(*.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)))))
96.8%
(*.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)))))
96.2%
(*.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)))))
96.5%
(*.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))))
98.0%
(*.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 (/.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 (*.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 z (PI.f64)))))
98.2%
(*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.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 (/.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 (PI.f64) z))))
96.3%
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
96.4%
(*.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)))
96.8%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
▶96.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
96.6%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))))
96.6%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))))
▶96.4%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
96.7%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) z)))
38.7%
(*.f64 #s(literal 7902188421553103227/30000000000000000 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 3412 to 2230 computations (34.6% saved)

simplify263.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))
✓cost-diff0
(+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)))
✓cost-diff256
(+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)))
✓cost-diff256
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
✓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 #s(literal 102757979785251069442117317613/235200000000000000000000000 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 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
✓cost-diff0
(sqrt.f64 #s(literal 15 binary64))
✓cost-diff128
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓cost-diff128
(*.f64 (*.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-diff128
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))
✓cost-diff0
(sqrt.f64 #s(literal 15 binary64))
✓cost-diff0
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
✓cost-diff0
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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
4072×*-lowering-*.f32
4072×*-lowering-*.f64
2786×+-lowering-+.f64
2786×+-lowering-+.f32
1910×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121034
1269994
2954976
36036974
08434974
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z)))
(+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z))))
9999999999998099/10000000000000000
(/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))
(+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000))
(* 6765203681218851/10000000000000 (- 2 z))
6765203681218851/10000000000000
(- 2 z)
2
z
(* (- 1 z) -3147848041806007/2500000000000)
(- 1 z)
1
-3147848041806007/2500000000000
(* (- 1 z) (- 2 z))
(/ 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 15) (/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2))))
(sqrt 15)
15
(/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2)))
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (PI))
(PI)
(/ z (exp -15/2))
z
(exp -15/2)
-15/2
(* (sqrt 15) (* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
(sqrt 15)
15
(* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (exp -15/2) (/ 1 z))
(exp -15/2)
-15/2
(/ 1 z)
1
z
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
1106209385320415913103082059/4200000000000000000000000
(sqrt (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))) (/ (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)))
(/ (* (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))
1106209385320415913103082059/4200000000000000000000000
(* z 102757979785251069442117317613/235200000000000000000000000)
102757979785251069442117317613/235200000000000000000000000
(/ (sin (* z (PI))) (PI))
(sin (* z (PI)))
(* z (PI))
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
7827144361880981797/30000000000000000
(* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))
z
(+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))
314207804027640689/720000000000000
(* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))
(+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))
4708246094784852251/8640000000000000
(* z 62898174544540606049/103680000000000000)
62898174544540606049/103680000000000000
(/ 2501468655737381/200000000000000 (- 5 z))
2501468655737381/200000000000000
(- 5 z)
5
(+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)
(* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000))
(+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)
(* z -76044331624539137747479981/118540800000000000000000000000)
-76044331624539137747479981/118540800000000000000000000000
-2715848032326100368047161/705600000000000000000000000
-96993697018538676917941/4200000000000000000000000
(* (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)
Outputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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)))))
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(+ (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
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(+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
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(+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z)))
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(+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z))))
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9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
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(+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000))
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(* 6765203681218851/10000000000000 (- 2 z))
(+.f64 #s(literal 6765203681218851/5000000000000 binary64) (*.f64 z #s(literal -6765203681218851/10000000000000 binary64)))
6765203681218851/10000000000000
#s(literal 6765203681218851/10000000000000 binary64)
(- 2 z)
(-.f64 #s(literal 2 binary64) z)
2
#s(literal 2 binary64)
z
(* (- 1 z) -3147848041806007/2500000000000)
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(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
-3147848041806007/2500000000000
#s(literal -3147848041806007/2500000000000 binary64)
(* (- 1 z) (- 2 z))
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(/ 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)
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#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)
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#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))))
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(/ 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)))
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(/ -3464277381643003/25000000000000000 (- 6 z))
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-3464277381643003/25000000000000000
#s(literal -3464277381643003/25000000000000000 binary64)
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#s(literal 6 binary64)
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(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
2496092394504893/250000000000000000000
#s(literal 2496092394504893/250000000000000000000 binary64)
(- 7 z)
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#s(literal 7 binary64)
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(PI)
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#s(literal 1/2 binary64)
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#s(literal 15 binary64)
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1106209385320415913103082059/4200000000000000000000000
#s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)
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z
(exp -15/2)
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#s(literal 1 binary64)
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#s(literal 6 binary64)
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1106209385320415913103082059/4200000000000000000000000
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102757979785251069442117317613/235200000000000000000000000
#s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)
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(*.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 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))) (+.f64 #s(literal 1095703216966318912903082059/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))) (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000))
(+.f64 #s(literal 1095703216966318912903082059/4200000000000000000000000 binary64) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))) (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))))))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+.f64 (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(literal 7827144361880981797/30000000000000000 binary64)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
(+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))
7827144361880981797/30000000000000000
#s(literal 7827144361880981797/30000000000000000 binary64)
(* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))
(*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))
z
(+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))
(+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))
314207804027640689/720000000000000
#s(literal 314207804027640689/720000000000000 binary64)
(* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))
(*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))
(+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))
(+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))
4708246094784852251/8640000000000000
#s(literal 4708246094784852251/8640000000000000 binary64)
(* z 62898174544540606049/103680000000000000)
(*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))
62898174544540606049/103680000000000000
#s(literal 62898174544540606049/103680000000000000 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)
(+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)
(+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))
(* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000))
(*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))
(+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)
(+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))
(* z -76044331624539137747479981/118540800000000000000000000000)
(*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64))
-76044331624539137747479981/118540800000000000000000000000
#s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)
-2715848032326100368047161/705600000000000000000000000
#s(literal -2715848032326100368047161/705600000000000000000000000 binary64)
-96993697018538676917941/4200000000000000000000000
#s(literal -96993697018538676917941/4200000000000000000000000 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))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 #s(literal 15/2 binary64) z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))))
(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 (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))
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))

localize702.0ms (0.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)))
✓accuracy98.4%
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy97.9%
(/.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)))
✓accuracy99.5%
(/.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 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
✓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 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))))
✓accuracy98.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
✓accuracy97.9%
(/.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)))))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
✓accuracy99.5%
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
✓accuracy99.3%
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy99.6%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
✓accuracy99.4%
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))
✓accuracy99.2%
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.5%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64)))
✓accuracy97.9%
(/.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
427.0ms256×0valid
Compiler

Compiled 1105 to 113 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
...c/correct-round.rkt:119:19: 106.0ms (37.3% of total)
ival-mult: 49.0ms (17.3% of total)
ival-add: 43.0ms (15.1% of total)
ival-div: 28.0ms (9.9% of total)
ival-pow: 16.0ms (5.6% of total)
ival-exp: 14.0ms (4.9% of total)
ival-sub: 13.0ms (4.6% of total)
ival-sqrt: 8.0ms (2.8% of total)
ival-sin: 4.0ms (1.4% of total)
const: 2.0ms (0.7% of total)
ival-pi: 1.0ms (0.4% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0%)

Counts
25 → 240
Calls
Call 1
Inputs
#<alt (* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))>
#<alt (* (sqrt 15) (/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2))))>
#<alt (sqrt 15)>
#<alt (/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2)))>
#<alt (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))>
#<alt (* (sqrt 15) (* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))>
#<alt (* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))>
#<alt (* (exp -15/2) (/ 1 z))>
#<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))) (/ (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)))>
#<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 (* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))>
#<alt (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000))>
#<alt (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))>
#<alt (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))>
#<alt (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))>
#<alt (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000))>
#<alt (sqrt (* (PI) 2))>
#<alt (sqrt (PI))>
#<alt (/ z (exp -15/2))>
#<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)>
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Calls

60 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000)))
2.0ms
z
@-inf
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (/ (sin (* z (PI))) (PI)))
2.0ms
z
@0
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (/ (sin (* z (PI))) (PI)))
2.0ms
z
@inf
(/ (* (/ (* (sqrt (* 2 (PI))) (pow (+ 1/2 (+ (- 1 z) 6)) (+ (- 1 z) -1/2))) (exp (+ 1/2 (+ (- 1 z) 6)))) (+ 1106209385320415913103082059/4200000000000000000000000 (* z 102757979785251069442117317613/235200000000000000000000000))) (/ (sin (* z (PI))) (PI)))
2.0ms
z
@inf
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))

rewrite458.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
4996×*-lowering-*.f32
4996×*-lowering-*.f64
3852×/-lowering-/.f32
3852×/-lowering-/.f64
2530×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112517
1782476
08248476
Stop Event
1×iter limit
1×node limit
Counts
25 → 555
Calls
Call 1
Inputs
(* (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 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 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ (+ (+ 9999999999998099/10000000000000000 (/ (+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000)) (* (- 1 z) (- 2 z)))) (/ 7713234287776531/10000000000000 (- 3 z))) (/ -883075145810703/5000000000000 (- 4 z)))
(* (sqrt 15) (/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2))))
(sqrt 15)
(/ (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))) (/ z (exp -15/2)))
(* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))
(* (sqrt 15) (* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI)))))
(* (* (exp -15/2) (/ 1 z)) (* 1106209385320415913103082059/4200000000000000000000000 (sqrt (PI))))
(* (exp -15/2) (/ 1 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))) (/ (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)))
(/ (* (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)))
(* (+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000)) (* (PI) (/ (/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z))) (sin (* (PI) z)))))
(+ (+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z))) (+ (* z (+ (* z -76044331624539137747479981/118540800000000000000000000000) -2715848032326100368047161/705600000000000000000000000)) -96993697018538676917941/4200000000000000000000000))
(+ (+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000)))))) (/ 2501468655737381/200000000000000 (- 5 z)))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* z 62898174544540606049/103680000000000000))))))
(/ (* (sqrt (* (PI) 2)) (pow (- 15/2 z) (- 1/2 z))) (exp (- 15/2 z)))
(+ (* 6765203681218851/10000000000000 (- 2 z)) (* (- 1 z) -3147848041806007/2500000000000))
(sqrt (* (PI) 2))
(sqrt (PI))
(/ z (exp -15/2))
(sqrt (* 2 (PI)))
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.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 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.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)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (+.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 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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)))) (+.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 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.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 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))) (*.f64 (+.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))))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))))
(+.f64 (*.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))))
(+.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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))) (*.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))))
(+.f64 (*.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 2 binary64) z) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))) (+.f64 (+.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 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))) (*.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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (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))))))
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
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(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z))
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(pow.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal -1 binary64))
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(*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 #s(literal -15/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #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 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/4 binary64)))

simplify761.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
6594×*-lowering-*.f32
6594×*-lowering-*.f64
2460×+-lowering-+.f64
2460×+-lowering-+.f32
1492×sum5-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06047045
121576738
277576738
085036738
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))))
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(* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))
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(+ (* 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)))))
469507597606837/5000000000000
(+ 469507597606837/5000000000000 (* 5826188486005177/10000000000000 z))
(+ 469507597606837/5000000000000 (* 5826188486005177/10000000000000 z))
(+ 469507597606837/5000000000000 (* 5826188486005177/10000000000000 z))
(* 5826188486005177/10000000000000 z)
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(* 5826188486005177/10000000000000 z)
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(/ 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 (exp -15/2))
Outputs
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
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(/ (+ (* 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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(+ 469507597606837/5000000000000 (* 5826188486005177/10000000000000 z))
(+.f64 #s(literal 469507597606837/5000000000000 binary64) (*.f64 z #s(literal 5826188486005177/10000000000000 binary64)))
(+ 469507597606837/5000000000000 (* 5826188486005177/10000000000000 z))
(+.f64 #s(literal 469507597606837/5000000000000 binary64) (*.f64 z #s(literal 5826188486005177/10000000000000 binary64)))
(* 5826188486005177/10000000000000 z)
(*.f64 z #s(literal 5826188486005177/10000000000000 binary64))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(* 5826188486005177/10000000000000 z)
(*.f64 z #s(literal 5826188486005177/10000000000000 binary64))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(* z (+ 5826188486005177/10000000000000 (* 469507597606837/5000000000000 (/ 1 z))))
(*.f64 z (+.f64 #s(literal 5826188486005177/10000000000000 binary64) (/.f64 #s(literal 469507597606837/5000000000000 binary64) z)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))
(/ z (exp -15/2))
(/.f64 z (exp.f64 #s(literal -15/2 binary64)))

eval431.0ms (0.3%)

Compiler

Compiled 63774 to 3040 computations (95.2% saved)

prune228.0ms (0.2%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New82620846
Fresh82230
Picked235
Done000
Total83645881
Accuracy
99.2%
Counts
881 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (-.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 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (+.f64 (+.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 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)))))
96.7%
(/.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)))
✓96.0%
(/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
98.4%
(/.f64 (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))) (PI.f64)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 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 z (PI.f64))))
96.5%
(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (/.f64 z (exp.f64 #s(literal -15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
96.7%
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
96.8%
(*.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))))) (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 #s(literal 1 binary64) (PI.f64))))
96.6%
(*.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))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (*.f64 z #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))))))
96.4%
(*.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))))
95.8%
(*.f64 (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 15 binary64))))
96.5%
(*.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))))
96.8%
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) z) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
96.2%
(*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))
✓98.5%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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)))))
6.3%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 (+.f64 #s(literal 3464024008321714637421/25000000000000000000000 binary64) (/.f64 #s(literal 5195971728131790397167/6250000000000000000000 binary64) 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)))))
98.1%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.2%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 #s(literal 3764081837873279/200000000000000000000000 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))))) (*.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)))))
98.0%
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.2%
(*.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
96.0%
(*.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 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
97.9%
(*.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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (*.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 86/10125 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal -1/15 binary64)) #s(literal 29/225 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (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 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
97.9%
(*.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 (PI.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 (sqrt.f64 (PI.f64)) (+.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 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
97.4%
(*.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 (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 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 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)))))
96.3%
(*.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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))) (sin.f64 (*.f64 (PI.f64) z)))))
98.0%
(*.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
98.2%
(*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
96.1%
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
96.9%
(*.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)))))
96.8%
(*.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)))))
96.2%
(*.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)))))
95.7%
(*.f64 (*.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
95.6%
(*.f64 (*.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
98.0%
(*.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 (/.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 (*.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 z (PI.f64)))))
96.3%
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
96.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
96.4%
(*.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)))
96.4%
(*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z)) (sqrt.f64 (PI.f64)))
96.8%
(*.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))
96.5%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
95.9%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (exp.f64 #s(literal -15/2 binary64))))
96.4%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
96.4%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
✓96.4%
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
38.7%
(*.f64 #s(literal 7902188421553103227/30000000000000000 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)))))
96.4%
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
Compiler

Compiled 7474 to 1941 computations (74% saved)

regimes98.0ms (0.1%)

Counts
101 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z)) (sqrt.f64 (PI.f64)))
(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #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 (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)))
Calls

2 calls:

30.0ms
z
29.0ms
(*.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
98.6%1z
98.6%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)

regimes53.0ms (0%)

Counts
79 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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))
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(/.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) #s(literal 469507597606837/10000000000000 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)))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (/.f64 #s(literal 45767980848377092942628957760201/100000000000000000000000000 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64)))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal -5000000000000/3147848041806007 binary64) (/.f64 z #s(literal -3147848041806007/2500000000000 binary64))))) (/.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (-.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 (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 6 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.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 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))))) (+.f64 (+.f64 (+.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 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)))))
(*.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)))))))
(/.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))))
Outputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
98.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes44.0ms (0%)

Counts
73 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
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(*.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))
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(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
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(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))))) z)
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(*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.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 (/.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 (PI.f64) z))))
(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.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 #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 (*.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)))))
(*.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 (/.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 (*.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 z (PI.f64)))))
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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 (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)))))
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

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
98.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes45.0ms (0%)

Counts
70 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
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(*.f64 (+.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.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 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 #s(literal 3764081837873279/200000000000000000000000 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))))) (*.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)))))
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Outputs
(/.f64 (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))) (PI.f64)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 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 z (PI.f64))))
Calls

1 calls:

27.0ms
z
Results
AccuracySegmentsBranch
98.4%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes32.0ms (0%)

Counts
62 → 1
Calls
Call 1
Inputs
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Outputs
(*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
Calls

1 calls:

19.0ms
z
Results
AccuracySegmentsBranch
98.2%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes31.0ms (0%)

Counts
60 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
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(/.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (/.f64 z (exp.f64 #s(literal -15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
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(*.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))))
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(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.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)) (/.f64 #s(literal 1 binary64) z))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
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(*.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 #s(literal 7902188421553103227/30000000000000000 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 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 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 #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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
(*.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 (/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))
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(*.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (/.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 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z #s(literal 4708246094784852251/8640000000000000 binary64))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (+.f64 (*.f64 z #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)) #s(literal -96993697018538676917941/4200000000000000000000000 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 (/.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))))) (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 #s(literal 1 binary64) (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 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (/.f64 (+.f64 #s(literal 3464024008321714637421/25000000000000000000000 binary64) (/.f64 #s(literal 5195971728131790397167/6250000000000000000000 binary64) 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 (/.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 #s(literal 2943194126470171931171/5400000000000000000 binary64)))))) (PI.f64)) (/.f64 (sin.f64 (*.f64 z (PI.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))))))
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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
Calls

1 calls:

17.0ms
z
Results
AccuracySegmentsBranch
98.2%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0%)

Counts
51 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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))
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(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
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(*.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 #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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
(*.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 (/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (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 #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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (*.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))))) (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 (PI.f64) z))))
(*.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 (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)))))
(*.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 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (/.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))))) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (PI.f64)) (*.f64 z (*.f64 (PI.f64) (+.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 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64)))))
(*.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)))))
Outputs
(*.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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)))))
Calls

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
98.0%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0%)

Counts
47 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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))
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(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
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(*.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 #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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
(*.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 (/.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 102757979785251069442117317613/235200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (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 #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 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 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))))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (*.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))))) (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 (PI.f64) z))))
(*.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 (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)))))
(*.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)))))
Outputs
(*.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)))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
96.9%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0%)

Counts
40 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z)) (sqrt.f64 (PI.f64)))
(*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (exp.f64 #s(literal -15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64)))
(*.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 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) 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 z (exp.f64 #s(literal -15/2 binary64)))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) z) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 15 binary64))))
(*.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 (/.f64 z (exp.f64 #s(literal -15/2 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))) (/.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 z (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.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)) (/.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 (*.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 15 binary64) #s(literal 1/4 binary64))) (*.f64 (*.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 #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 #s(literal 7902188421553103227/30000000000000000 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 7902188421553103227/30000000000000000 binary64) #s(literal -96993697018538676917941/4200000000000000000000000 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 #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 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)) (-.f64 #s(literal 1/2 binary64) z)) (exp.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 13/2 binary64)))) (/.f64 (+.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 z #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)))))
Outputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
96.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
Outputs
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
96.5%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
(*.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))) z) (exp.f64 #s(literal -15/2 binary64))))
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:

2.0ms
z
Results
AccuracySegmentsBranch
96.4%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.5b remaining (-22.2%)

Threshold costs -0.5b (-22.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (*.f64 (/.f64 (exp.f64 #s(literal -15/2 binary64)) z) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (/.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) z) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal 15/2 binary64)))))
Outputs
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
96.4%1z
Compiler

Compiled 2 to 1 computations (50% saved)

simplify25.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0183541
1290541
2303541
3305541
4306541
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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)))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (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 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))) (PI.f64)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 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 z (PI.f64))))
(*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (+.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (+.f64 #s(literal 7902188421553103227/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 39321001939258358983/90000000000000000 binary64) (*.f64 z #s(literal 2943194126470171931171/5400000000000000000 binary64))))) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (+.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 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.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 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
Outputs
(/.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)))
(/.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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z))) (/.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 (PI.f64) z)) (PI.f64)))
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (+.f64 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (*.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3147848041806007/2500000000000 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.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 (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 (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 (PI.f64) 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 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 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 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 (*.f64 (*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64))) (PI.f64)) (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 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 z (PI.f64))))
(/.f64 (*.f64 (*.f64 (PI.f64) (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64))))))) (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64)))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)))) (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (pow.f64 (*.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z)))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (+.f64 (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (+.f64 (+.f64 (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))) (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (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 (PI.f64) z)))) (+.f64 #s(literal -96993697018538676917941/4200000000000000000000000 binary64) (+.f64 #s(literal 7827144361880981797/30000000000000000 binary64) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (*.f64 z (+.f64 #s(literal 314207804027640689/720000000000000 binary64) (*.f64 z (+.f64 #s(literal 4708246094784852251/8640000000000000 binary64) (*.f64 z #s(literal 62898174544540606049/103680000000000000 binary64)))))))))))
(*.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (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 (PI.f64) z)))) (+.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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 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 (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 (PI.f64) z)))) (+.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal -76044331624539137747479981/118540800000000000000000000000 binary64)) #s(literal -2715848032326100368047161/705600000000000000000000000 binary64))) #s(literal -96993697018538676917941/4200000000000000000000000 binary64)) (+.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 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 (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 (PI.f64) 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))))))))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))))
(*.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)))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64)))) (sqrt.f64 #s(literal 15 binary64))))
(*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 z (exp.f64 #s(literal -15/2 binary64))))))

soundness9.7s (6.8%)

Rules
6594×*-lowering-*.f32
6594×*-lowering-*.f64
6562×*-lowering-*.f32
6562×*-lowering-*.f64
6382×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0112517
1782476
08248476
07858696
126198285
081758285
0115649
1948625
08082625
06134895
121624638
081824638
06047045
121576738
277576738
085036738
0131830
11043802
08350802
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
1×iter limit
1×node limit
Compiler

Compiled 1549 to 965 computations (37.7% saved)

preprocess128.0ms (0.1%)

Compiler

Compiled 1332 to 478 computations (64.1% saved)

end0.0ms (0%)

Profiling

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