Falkner and Boettcher, Appendix B, 1

Time bar (total: 34.5s)

analyze1.1s (3.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 10 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 506.0ms
ival-mult: 180.0ms (35.6% of total)
ival-sub: 144.0ms (28.5% of total)
ival-acos: 99.0ms (19.6% of total)
ival-div: 67.0ms (13.2% of total)
const: 13.0ms (2.6% of total)
backward-pass: 2.0ms (0.4% of total)

sample8.0s (23.2%)

Results
2.9s3785×3valid
1.5s8257×0invalid
1.4s2136×2valid
726.0ms2132×1valid
32.0ms203×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.0s
ival-mult: 1.5s (29.6% of total)
ival-sub: 1.3s (25.2% of total)
ival-acos: 1.0s (20.3% of total)
ival-div: 683.0ms (13.6% of total)
backward-pass: 462.0ms (9.2% of total)
const: 100.0ms (2% of total)
Bogosity

preprocess505.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
1820×fnmadd-define
1610×*-lowering-*.f32
1610×*-lowering-*.f64
1568×--lowering--.f32
1568×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01740
16240
218837
367037
4270337
5643437
0913
13113
27712
321612
464712
5150612
6368512
7688812
0822912
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
Call 2
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos (/ (fnmsub 5 (* v v) -1) (fmsub v v 1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(acos (/ (fnmsub 5 (* v v) -1) (fmsub v v 1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
(neg (acos (/ (fnmsub 5 (* v v) -1) (fmsub v v 1))))
Symmetry

(abs v)

explain673.0ms (2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
5249(3.402271183509926e-252)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-v
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
Results
244.0ms224×3valid
177.0ms124×2valid
74.0ms156×1valid
2.0ms8×0valid
Compiler

Compiled 119 to 29 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-div: 91.0ms (28.7% of total)
ival-acos: 70.0ms (22.1% of total)
ival-mult: 61.0ms (19.3% of total)
backward-pass: 45.0ms (14.2% of total)
ival-sub: 45.0ms (14.2% of total)
const: 4.0ms (1.3% of total)

eval1.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify376.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Rules
1820×fnmadd-define
1610×*-lowering-*.f32
1610×*-lowering-*.f64
1568×--lowering--.f32
1568×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0947
13147
27744
321644
464744
5150644
6368544
7688844
0822944
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
1
(* 5 (* v v))
5
(* v v)
v
(- (* v v) 1)
Outputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(- 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* 5 (* v v))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
(- (* v v) 1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))

localize245.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
✓accuracy99.7%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy99.7%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
119.0ms112×3valid
45.0ms62×2valid
37.0ms78×1valid
1.0ms4×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-mult: 29.0ms (24.9% of total)
backward-pass: 24.0ms (20.6% of total)
ival-acos: 24.0ms (20.6% of total)
ival-sub: 21.0ms (18% of total)
ival-div: 15.0ms (12.9% of total)
const: 2.0ms (1.7% of total)

series8.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))>
#<alt (/ (- 1 (* 5 (* v v))) (- (* v v) 1))>
#<alt (- 1 (* 5 (* v v)))>
#<alt (* 5 (* v v))>
#<alt (* v v)>
Outputs
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (* 5 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
v
@inf
(* 5 (* v v))
1.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
1.0ms
v
@inf
(- 1 (* 5 (* v v)))
1.0ms
v
@0
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
1.0ms
v
@0
(* 5 (* v v))

rewrite888.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3504×/-lowering-/.f32
3504×/-lowering-/.f64
1510×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0940
16640
253937
3747637
0864337
Stop Event
1×iter limit
1×node limit
Counts
5 → 324
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1)))
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
(- 1 (* 5 (* v v)))
(* 5 (* v v))
(* v v)
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (*.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (/.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))))) #s(literal 1953125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 15625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)))) #s(literal 625 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64)))))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (-.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal -125 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 5 binary64) (*.f64 (*.f64 v v) #s(literal 25 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v))) #s(literal 125 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(neg.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 5 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))))
(*.f64 v (*.f64 #s(literal 5 binary64) v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(*.f64 #s(literal -5 binary64) (-.f64 #s(literal 0 binary64) (*.f64 v v)))
(*.f64 (*.f64 #s(literal 5 binary64) v) v)
(*.f64 (*.f64 #s(literal 5 binary64) v) (neg.f64 (-.f64 #s(literal 0 binary64) v)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v)) #s(literal -5 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) (-.f64 #s(literal 0 binary64) v))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 v v))) #s(literal 5 binary64))
(*.f64 (neg.f64 (*.f64 v #s(literal -5 binary64))) v)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 v)))
(pow.f64 v #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(*.f64 v v)
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

simplify454.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
3288×*-lowering-*.f32
3288×*-lowering-*.f64
1638×fma-lowering-fma.f32
1638×fma-lowering-fma.f64
1618×fma-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
037461
1106419
2303416
3840413
42199412
56288410
08300410
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(* 5 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
Outputs
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v v))))))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) v)) (*.f64 v v)) #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) v) v)) (*.f64 v v)) #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)

eval144.0ms (0.4%)

Compiler

Compiled 13089 to 1306 computations (90% saved)

prune143.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4004404
Fresh000
Picked011
Done000
Total4005405
Accuracy
99.7%
Counts
405 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶98.9%
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓99.6%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
▶99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
▶98.8%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 109 to 57 computations (47.7% saved)

simplify467.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64)))
✓cost-diff128
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v))
✓cost-diff128
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓cost-diff0
(*.f64 v v)
✓cost-diff0
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
✓cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓cost-diff0
(acos.f64 #s(literal -1 binary64))
Rules
2286×+-lowering-+.f64
2286×+-lowering-+.f32
1782×sum3-define
1762×*-lowering-*.f32
1762×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035351
175321
2148321
3259321
4530321
51053321
62468321
76778321
08105321
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos -1)
-1
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(acos (/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v)))
(/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v))
(/ (+ 1 (* (* v v) -5)) (+ v -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ v -1)
-1
(+ 1 v)
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
Outputs
(acos -1)
(acos.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(acos (+ -1 (* (* v v) 4)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(+ -1 (* (* v v) 4))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
-1
#s(literal -1 binary64)
(* (* v v) 4)
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(* v v)
(*.f64 v v)
v
4
#s(literal 4 binary64)
(acos (/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(/ (+ 1 (* (* v v) -5)) (+ v -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) v))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ v -1)
(+.f64 #s(literal -1 binary64) v)
-1
#s(literal -1 binary64)
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 #s(literal -1 binary64) (*.f64 v v))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize1.3s (3.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy99.7%
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓accuracy99.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy100.0%
(acos.f64 #s(literal -1 binary64))
Results
593.0ms112×2valid
315.0ms140×1valid
4.0ms4×0valid
Compiler

Compiled 371 to 36 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 614.0ms
ival-mult: 233.0ms (37.9% of total)
ival-div: 110.0ms (17.9% of total)
backward-pass: 70.0ms (11.4% of total)
ival-add: 69.0ms (11.2% of total)
ival-acos: 46.0ms (7.5% of total)
ival-pow: 42.0ms (6.8% of total)
ival-asin: 25.0ms (4.1% of total)
ival-sub: 7.0ms (1.1% of total)
ival-pi: 6.0ms (1% of total)
const: 5.0ms (0.8% of total)

series64.0ms (0.2%)

Counts
16 → 156
Calls
Call 1
Inputs
#<alt (acos -1)>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (* v v)>
#<alt (acos (/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v)))>
#<alt (/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v))>
#<alt (/ (+ 1 (* (* v v) -5)) (+ v -1))>
#<alt (+ 1 (* (* v v) -5))>
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (* v v) -5)>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
Outputs
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 4 (/ 1 (pow v 2))))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (* 4 (pow v 2))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))>
#<alt (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))>
#<alt (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))>
#<alt (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))>
#<alt (acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -5>
#<alt (* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)>
#<alt (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))>
#<alt -1>
#<alt (- (* -1 v) 1)>
#<alt (- (* v (- (* 4 v) 1)) 1)>
#<alt (- (* v (- (* v (+ 4 (* 4 v))) 1)) 1)>
#<alt (* -5 v)>
#<alt (* -1 (* v (+ 5 (* 5 (/ 1 v)))))>
#<alt (* v (- (* -1 (/ (+ 5 (* 4 (/ 1 v))) v)) 5))>
#<alt (* v (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) (pow v 2))) (+ 5 (* 5 (/ 1 v)))))>
#<alt (* -5 v)>
#<alt (* -1 (* v (+ 5 (* 5 (/ 1 v)))))>
#<alt (* -1 (* v (+ 5 (+ (* 5 (/ 1 v)) (/ 4 (pow v 2))))))>
#<alt (* -1 (* v (+ 5 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) v)) 5) v)))))>
#<alt 1>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (+ 1 (* -5 (pow v 2)))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* -5 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 5))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (* -5 (pow v 2))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
Calls

39 calls:

TimeVariablePointExpression
10.0ms
v
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
9.0ms
v
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
1.0ms
v
@0
(/ (+ 1 (* (* v v) -5)) (+ v -1))
1.0ms
v
@inf
(* (* v v) 4)
1.0ms
v
@inf
(* (* v v) -5)

rewrite1.2s (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
5054×*-lowering-*.f32
5054×*-lowering-*.f64
2674×/-lowering-/.f32
2674×/-lowering-/.f64
2046×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035156
1247135
22265135
09108135
Stop Event
1×iter limit
1×node limit
Counts
16 → 452
Calls
Call 1
Inputs
(acos -1)
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(* v v)
(acos (/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v)))
(/ (/ (+ 1 (* (* v v) -5)) (+ v -1)) (+ 1 v))
(/ (+ 1 (* (* v v) -5)) (+ v -1))
(+ 1 (* (* v v) -5))
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(* (* v v) -5)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
Outputs
(acos.f64 #s(literal -1 binary64))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal -1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (/.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 v #s(literal 4 binary64)) v #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64)))) (+.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))))
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 4 binary64)) v)
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(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64)) (*.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3/2 binary64)))

simplify827.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3212×*-lowering-*.f32
3212×*-lowering-*.f64
1640×+-lowering-+.f64
1640×+-lowering-+.f32
1508×fnmadd-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01182181
13661941
210671925
334651917
084841917
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
-1
(- (* -1 v) 1)
(- (* v (- (* 4 v) 1)) 1)
(- (* v (- (* v (+ 4 (* 4 v))) 1)) 1)
(* -5 v)
(* -1 (* v (+ 5 (* 5 (/ 1 v)))))
(* v (- (* -1 (/ (+ 5 (* 4 (/ 1 v))) v)) 5))
(* v (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) (pow v 2))) (+ 5 (* 5 (/ 1 v)))))
(* -5 v)
(* -1 (* v (+ 5 (* 5 (/ 1 v)))))
(* -1 (* v (+ 5 (+ (* 5 (/ 1 v)) (/ 4 (pow v 2))))))
(* -1 (* v (+ 5 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) v)) 5) v)))))
1
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(+ 1 (* -5 (pow v 2)))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(* -5 (pow v 2))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
Outputs
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(* 4 (pow v 2))
(*.f64 v (*.f64 #s(literal 4 binary64) v))
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (* (+ 1 v) (- v 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos (* -1 (/ (- 1 (* 5 (pow v 2))) (* (+ 1 (* -1 v)) (- 1 (* -1 v))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 v (*.f64 #s(literal 4 binary64) v)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) v)))))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) v)))))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v))))))
-1
#s(literal -1 binary64)
(- (* -1 v) 1)
(-.f64 #s(literal -1 binary64) v)
(- (* v (- (* 4 v) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) v))))
(- (* v (- (* v (+ 4 (* 4 v))) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64)))))))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -1 (* v (+ 5 (* 5 (/ 1 v)))))
(+.f64 #s(literal -5 binary64) (*.f64 v #s(literal -5 binary64)))
(* v (- (* -1 (/ (+ 5 (* 4 (/ 1 v))) v)) 5))
(*.f64 v (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) v)) v)))
(* v (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) (pow v 2))) (+ 5 (* 5 (/ 1 v)))))
(-.f64 (+.f64 #s(literal -5 binary64) (*.f64 v #s(literal -5 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -1 (* v (+ 5 (* 5 (/ 1 v)))))
(+.f64 #s(literal -5 binary64) (*.f64 v #s(literal -5 binary64)))
(* -1 (* v (+ 5 (+ (* 5 (/ 1 v)) (/ 4 (pow v 2))))))
(+.f64 #s(literal -5 binary64) (*.f64 v (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))))
(* -1 (* v (+ 5 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 v))) v)) 5) v)))))
(-.f64 (+.f64 #s(literal -5 binary64) (*.f64 v #s(literal -5 binary64))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v))
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(+ 1 (* -5 (pow v 2)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* -5 (pow v 2))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
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(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))

eval365.0ms (1.1%)

Compiler

Compiled 49557 to 2159 computations (95.6% saved)

prune237.0ms (0.7%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New8929901
Fresh000
Picked134
Done011
Total89313906
Accuracy
99.7%
Counts
906 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
2.0%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
1.4%
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
98.1%
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal -3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶96.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶99.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
▶98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶2.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓98.9%
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓99.6%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
▶98.0%
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
✓99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.8%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1450 to 527 computations (63.7% saved)

simplify626.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
✓cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))))
✓cost-diff128
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
✓cost-diff0
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) v)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v))
✓cost-diff0
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
✓cost-diff128
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
✓cost-diff128
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
✓cost-diff128
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
✓cost-diff128
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
Rules
2954×*-lowering-*.f32
2954×*-lowering-*.f64
1926×fnmadd-define
1618×fma-lowering-fma.f32
1618×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0611308
11411219
23151219
37571208
422521200
568351187
082361187
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))
(- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))
(/ (PI) 2)
2
(- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))
(acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(+ 1 (* v (* v -5)))
(* v (* v -5))
(* v -5)
(+ -1 (* v v))
(acos (/ -1 (+ 1 v)))
(/ -1 (+ 1 v))
-1
(+ 1 v)
1
v
(/ (- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ 1 (/ 8 (* (PI) (* (PI) (PI)))))
1
(/ 8 (* (PI) (* (PI) (PI))))
8
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (pow (cbrt (PI)) 9) 8)
(pow (cbrt (PI)) 9)
(cbrt (PI))
(PI)
9
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ (* (PI) (* (PI) (PI))) 64)
64
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ -1 (* v v))
-1
(* v v)
6
(/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
8
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(+ (* v v) -1)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))
(+.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))
(acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v -5)
(*.f64 v #s(literal -5 binary64))
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(acos (/ -1 (+ 1 v)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(/ -1 (+ 1 v))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v))
-1
#s(literal -1 binary64)
(+ 1 v)
(+.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
(/ (- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ 1 (/ 8 (* (PI) (* (PI) (PI)))))
(/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64))))
1
#s(literal 1 binary64)
(/ 8 (* (PI) (* (PI) (PI))))
(/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
8
#s(literal 8 binary64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (pow (cbrt (PI)) 9) 8)
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64))
(pow (cbrt (PI)) 9)
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(cbrt (PI))
(cbrt.f64 (PI.f64))
(PI)
(PI.f64)
9
#s(literal 9 binary64)
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ (* (PI) (* (PI) (PI))) 64)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))
64
#s(literal 64 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(+ -1 (* v v))
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* v v)
(*.f64 v v)
6
#s(literal 6 binary64)
(/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))
(+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (PI.f64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (PI.f64))))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize2.4s (7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy97.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))
✓accuracy7.3%
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))
✓accuracy7.2%
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(cbrt.f64 (PI.f64))
✓accuracy95.6%
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) v)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v))
✓accuracy98.3%
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
Results
932.0ms105×2valid
830.0ms147×1valid
9.0ms4×0valid
Compiler

Compiled 1435 to 62 computations (95.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 971.0ms
ival-div: 305.0ms (31.4% of total)
backward-pass: 174.0ms (17.9% of total)
ival-pow: 139.0ms (14.3% of total)
ival-mult: 113.0ms (11.6% of total)
ival-add: 66.0ms (6.8% of total)
ival-asin: 54.0ms (5.6% of total)
ival-acos: 54.0ms (5.6% of total)
ival-sub: 43.0ms (4.4% of total)
ival-cbrt: 9.0ms (0.9% of total)
const: 8.0ms (0.8% of total)
ival-pi: 6.0ms (0.6% of total)

series56.0ms (0.2%)

Counts
25 → 216
Calls
Call 1
Inputs
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))>
#<alt (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))))>
#<alt (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))>
#<alt (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))>
#<alt (acos (/ -1 (+ 1 v)))>
#<alt (/ -1 (+ 1 v))>
#<alt (+ 1 v)>
#<alt (/ (- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ 1 (/ 8 (* (PI) (* (PI) (PI)))))>
#<alt (/ 8 (* (PI) (* (PI) (PI))))>
#<alt (/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ (pow (cbrt (PI)) 9) 8)>
#<alt (pow (cbrt (PI)) 9)>
#<alt (/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))))>
#<alt (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))>
#<alt (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (cbrt (PI))>
#<alt (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))>
#<alt (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)>
Outputs
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
#<alt (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))>
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#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)>
Calls

54 calls:

TimeVariablePointExpression
9.0ms
v
@inf
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
8.0ms
v
@0
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
5.0ms
v
@inf
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))
5.0ms
v
@0
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))
3.0ms
v
@inf
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))))

rewrite1.3s (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3422×*-lowering-*.f32
3422×*-lowering-*.f64
1810×pow-lowering-pow.f64
1810×pow-lowering-pow.f32
1758×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061524
1466305
23588304
08389304
Stop Event
1×iter limit
1×node limit
Counts
25 → 1070
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))))
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))))
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2))))
(- (/ (PI) 2) (- (acos (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) (/ (PI) 2)))
(acos (/ -1 (+ 1 v)))
(/ -1 (+ 1 v))
(+ 1 v)
(/ (- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ 1 (/ 8 (* (PI) (* (PI) (PI))))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ 1 (/ 8 (* (PI) (* (PI) (PI)))))
(/ 8 (* (PI) (* (PI) (PI))))
(/ (- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ (pow (cbrt (PI)) 9) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (pow (cbrt (PI)) 9) 8)
(pow (cbrt (PI)) 9)
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(* (PI) (* (PI) (PI)))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(cbrt (PI))
(+ (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 3))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)
Outputs
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
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(pow.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(*.f64 (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 512 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (pow.f64 (/.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) #s(literal 6 binary64)))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 6 binary64))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9/2 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9/2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))

simplify835.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
2952×*-lowering-*.f32
2952×*-lowering-*.f64
2766×fma-lowering-fma.f32
2766×fma-lowering-fma.f64
1750×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01036435
13165733
26675733
320385730
476885730
082275730
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
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(* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
Outputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/8 binary64) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))))
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(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
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(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
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(+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))))
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
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(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))

eval844.0ms (2.4%)

Compiler

Compiled 135487 to 3329 computations (97.5% saved)

prune477.0ms (1.4%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New1555171572
Fresh404
Picked145
Done044
Total1560251585
Accuracy
99.7%
Counts
1585 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
97.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.0%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
96.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓96.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.4%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶99.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (PI.f64)) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶97.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))))))
✓98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
1.4%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.1%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
▶2.0%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
▶2.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓2.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓98.9%
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓99.6%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.0%
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
▶98.0%
(acos.f64 (+.f64 v #s(literal -1 binary64)))
✓99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.8%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 2968 to 1240 computations (58.2% saved)

simplify733.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)))
✓cost-diff128
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
✓cost-diff128
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
✓cost-diff6272
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff6272
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
✓cost-diff6400
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
✓cost-diff6400
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff128
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓cost-diff0
(+.f64 v #s(literal -1 binary64))
✓cost-diff0
(acos.f64 (+.f64 v #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
Rules
5554×*-lowering-*.f32
5554×*-lowering-*.f64
3540×+-lowering-+.f64
3540×+-lowering-+.f32
1788×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0791659
11951493
24581474
312641474
437791474
084581474
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
8
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))
(- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))
(acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))
(/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))
(+ 1 (* -5 (* v v)))
(* -5 (* v v))
(acos (+ v -1))
(+ v -1)
v
-1
(/ (- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ 1 (/ 8 (pow (cbrt (PI)) 9)))
1
(/ 8 (pow (cbrt (PI)) 9))
8
(pow (cbrt (PI)) 9)
(cbrt (PI))
(PI)
9
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(* v v)
v
-5
(+ (* v v) -1)
-1
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ (* (PI) (* (PI) (PI))) 64)
64
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ -1 (* v v))
-1
(* v v)
6
(/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(/ (* (PI) (PI)) 8)
8
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(+ (* v v) -1)
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
2
(/ (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))) (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)))
(* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))
(- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12))
(/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096)
(* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
4096
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ (* v v) -1)
(* v v)
-1
12
(/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))
(/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(* (PI) (/ (* (PI) (PI)) 8))
(/ (* (PI) (PI)) 8)
8
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)
3
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))
(/ (* (PI) (PI)) 4)
4
(* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))
(+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))
(/ (PI) 2)
2
(+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
64
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)
6
Outputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/ (* (PI) (* (PI) (PI))) 8)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))))
(* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)))
(/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096)
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 4096 binary64))
(* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))))
(* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
4096
#s(literal 4096 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
1
#s(literal 1 binary64)
(* v (* v -5))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
v
(* v -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
(* v v)
(*.f64 v v)
-1
#s(literal -1 binary64)
12
#s(literal 12 binary64)
(/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))
(+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(* (PI) (/ (* (PI) (PI)) 8))
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64))
(/ (* (PI) (PI)) 8)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))
8
#s(literal 8 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))
(*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
(/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 64 binary64))
64
#s(literal 64 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
6
#s(literal 6 binary64)

localize2.9s (8.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy96.4%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
✓accuracy7.3%
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)))
✓accuracy7.3%
(+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓accuracy7.0%
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓accuracy97.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))
✓accuracy7.2%
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy4.4%
(fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(cbrt.f64 (PI.f64))
✓accuracy95.6%
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
✓accuracy7.0%
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
✓accuracy100.0%
(+.f64 v #s(literal -1 binary64))
✓accuracy98.3%
(acos.f64 (+.f64 v #s(literal -1 binary64)))
✓accuracy98.5%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓accuracy98.5%
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy7.0%
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
Results
1.1s106×2valid
914.0ms146×1valid
11.0ms4×0valid
Compiler

Compiled 1858 to 82 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 226.0ms (18.9% of total)
backward-pass: 221.0ms (18.5% of total)
ival-pow: 213.0ms (17.8% of total)
ival-mult: 187.0ms (15.7% of total)
ival-add: 141.0ms (11.8% of total)
ival-asin: 74.0ms (6.2% of total)
ival-acos: 42.0ms (3.5% of total)
ival-sub: 40.0ms (3.3% of total)
compiled-spec: 27.0ms (2.3% of total)
const: 9.0ms (0.8% of total)
ival-cbrt: 9.0ms (0.8% of total)
ival-pi: 6.0ms (0.5% of total)

series78.0ms (0.2%)

Counts
28 → 252
Calls
Call 1
Inputs
#<alt (/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))))>
#<alt (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ (* (PI) (* (PI) (PI))) 8)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (acos (+ v -1))>
#<alt (+ v -1)>
#<alt (/ (- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))>
#<alt (/ 1 (/ 8 (pow (cbrt (PI)) 9)))>
#<alt (/ 8 (pow (cbrt (PI)) 9))>
#<alt (/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))>
#<alt (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))>
#<alt (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))>
#<alt (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))>
#<alt (/ (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))) (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)))>
#<alt (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))>
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Outputs
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#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
#<alt (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)>
Calls

63 calls:

TimeVariablePointExpression
18.0ms
v
@0
(/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
10.0ms
v
@0
(/ (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))) (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)))
9.0ms
v
@inf
(/ (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))) (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)))
4.0ms
v
@inf
(* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))
3.0ms
v
@0
(* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))

rewrite1.4s (4%)

Algorithm
1×batch-egg-rewrite
Rules
3938×*-lowering-*.f32
3938×*-lowering-*.f64
2002×pow-lowering-pow.f64
2002×pow-lowering-pow.f32
1860×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079632
1612441
24602435
08654435
Stop Event
1×iter limit
1×node limit
Counts
28 → 941
Calls
Call 1
Inputs
(/ (- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))))
(- (/ (* (PI) (* (PI) (PI))) 8) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ (* (PI) (* (PI) (PI))) 8)
(* (PI) (* (PI) (PI)))
(acos (+ v -1))
(+ v -1)
(/ (- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(- (/ 1 (/ 8 (pow (cbrt (PI)) 9))) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3))
(/ 1 (/ 8 (pow (cbrt (PI)) 9)))
(/ 8 (pow (cbrt (PI)) 9))
(/ (* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))))
(* (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)) (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))))
(/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3)))
(+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(/ (* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2)))))) (+ (/ (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) 64) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 6)))
(* (- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)) (/ (/ 1 (+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))) (+ (/ (* (PI) (PI)) 4) (* (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))))))
(- (/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12))
(/ (* (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI)))) (* (* (PI) (* (PI) (PI))) (* (PI) (* (PI) (PI))))) 4096)
(- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(pow (cbrt (PI)) 9)
(cbrt (PI))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 6)
(+ (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) (/ (PI) 2))
(+ (* (PI) (/ (* (PI) (PI)) 8)) (pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 3))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))) 12)
Outputs
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))
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(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 3 binary64))))
(exp.f64 (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) #s(literal 4 binary64))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 12 binary64)) (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 9 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))

simplify862.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4226×*-lowering-*.f32
4226×*-lowering-*.f64
4126×+-lowering-+.f64
4126×+-lowering-+.f32
1714×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0948202
13057314
26627314
322767314
081067314
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (- v 1))
(acos (neg (+ 1 (* -1 v))))
(acos (neg (+ 1 (* -1 v))))
(acos (neg (+ 1 (* -1 v))))
(acos (neg (+ 1 (* -1 v))))
-1
(- v 1)
(- v 1)
(- v 1)
v
(* v (- 1 (/ 1 v)))
(* v (- 1 (/ 1 v)))
(* v (- 1 (/ 1 v)))
v
(* -1 (* v (- (/ 1 v) 1)))
(* -1 (* v (- (/ 1 v) 1)))
(* -1 (* v (- (/ 1 v) 1)))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (* (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)) (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
(/ 1 (+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)))
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(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
Outputs
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (- v 1))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (neg (+ 1 (* -1 v))))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (neg (+ 1 (* -1 v))))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (neg (+ 1 (* -1 v))))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos (neg (+ 1 (* -1 v))))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- v 1)
(+.f64 v #s(literal -1 binary64))
(- v 1)
(+.f64 v #s(literal -1 binary64))
(- v 1)
(+.f64 v #s(literal -1 binary64))
v
(* v (- 1 (/ 1 v)))
(+.f64 v #s(literal -1 binary64))
(* v (- 1 (/ 1 v)))
(+.f64 v #s(literal -1 binary64))
(* v (- 1 (/ 1 v)))
(+.f64 v #s(literal -1 binary64))
v
(* -1 (* v (- (/ 1 v) 1)))
(+.f64 v #s(literal -1 binary64))
(* -1 (* v (- (/ 1 v) 1)))
(+.f64 v #s(literal -1 binary64))
(* -1 (* v (- (/ 1 v) 1)))
(+.f64 v #s(literal -1 binary64))
(/ (- (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))))
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(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 6)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
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(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
(+.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/8 binary64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(+ (* 1/8 (pow (PI) 3)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 3))
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(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 12)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))

eval1.0s (2.9%)

Compiler

Compiled 165556 to 4040 computations (97.6% saved)

prune638.0ms (1.8%)

Pruning

26 alts after pruning (16 fresh and 10 done)

PrunedKeptTotal
New149681504
Fresh4812
Picked145
Done268
Total1503261529
Accuracy
99.7%
Counts
1529 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
2.1%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 262144 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 18 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)) (/.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 6 binary64)) #s(literal 64 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.0%
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97.2%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.0%
(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
96.6%
(/.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.4%
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓99.6%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 #s(literal 8 binary64) (PI.f64)) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓97.3%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
94.6%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 9 binary64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
98.1%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
1.4%
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.1%
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.1%
(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 68719476736 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 16777216 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 24 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
✓2.9%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
✓2.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
2.1%
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))))) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 18 binary64)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 262144 binary64)))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64))) (/.f64 (pow.f64 (*.f64 (PI.f64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))) #s(literal 6 binary64)) #s(literal 64 binary64))))
✓98.9%
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
✓99.6%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.0%
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
✓98.0%
(acos.f64 (+.f64 v #s(literal -1 binary64)))
✓99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.8%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 5447 to 1046 computations (80.8% saved)

regimes94.0ms (0.3%)

Counts
39 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
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(/.f64 (*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 68719476736 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 36 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))) #s(literal 16777216 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 24 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 12 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 8 binary64))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 64 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
Calls

4 calls:

40.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
15.0ms
v
14.0ms
(*.f64 v v)
13.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%1v
99.6%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.6%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes19.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
Outputs
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
Calls

4 calls:

5.0ms
v
4.0ms
(*.f64 v v)
4.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
4.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%1v
99.6%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.6%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes17.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Calls

4 calls:

5.0ms
v
4.0ms
(*.f64 v v)
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
3.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%1v
99.6%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.6%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.6%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes7.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Calls

2 calls:

3.0ms
v
3.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -0.5b remaining (-65.4%)

Threshold costs -0.5b (-65.4%)

Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 v #s(literal -1 binary64)))
(acos.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
Outputs
(acos.f64 #s(literal -1 binary64))
Calls

1 calls:

3.0ms
v
Results
AccuracySegmentsBranch
98.8%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify26.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
34×+-commutative_binary64
30×*-commutative_binary64
24×sub-neg_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049108
178108
299108
3117108
4125108
5128108
6129108
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) (-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))

soundness3.0s (8.8%)

Rules
5054×*-lowering-*.f32
5054×*-lowering-*.f64
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3504×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035156
1247135
22265135
09108135
01036435
13165733
26675733
320385730
476885730
082275730
037461
1106419
2303416
3840413
42199412
56288410
08300410
0940
16640
253937
3747637
0864337
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
Compiler

Compiled 204 to 97 computations (52.5% saved)

preprocess116.0ms (0.3%)

Remove

(abs v)

Compiler

Compiled 754 to 308 computations (59.2% saved)

end0.0ms (0%)

Profiling

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