Falkner and Boettcher, Appendix B, 1

Time bar (total: 15.3s)

analyze437.0ms (2.9%)

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: 225.0ms
ival-acos: 85.0ms (37.7% of total)
ival-mult: 62.0ms (27.5% of total)
ival-sub: 43.0ms (19.1% of total)
ival-div: 27.0ms (12% of total)
const: 6.0ms (2.7% of total)
backward-pass: 2.0ms (0.9% of total)

sample4.1s (26.7%)

Results
1.4s3674×3valid
959.0ms8187×0invalid
550.0ms2121×2valid
502.0ms2242×1valid
17.0ms219×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-acos: 755.0ms (31.3% of total)
ival-mult: 612.0ms (25.4% of total)
ival-div: 385.0ms (16% of total)
ival-sub: 366.0ms (15.2% of total)
backward-pass: 243.0ms (10.1% of total)
const: 50.0ms (2.1% of total)
Bogosity

preprocess241.0ms (1.6%)

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)

explain257.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
9245(9.332245450268189e-231)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
107.0ms218×3valid
42.0ms128×2valid
31.0ms156×1valid
1.0ms10×0valid
Compiler

Compiled 119 to 29 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-acos: 30.0ms (25.8% of total)
ival-mult: 25.0ms (21.5% of total)
ival-div: 23.0ms (19.8% of total)
backward-pass: 20.0ms (17.2% of total)
ival-sub: 16.0ms (13.8% of total)
const: 2.0ms (1.7% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(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)

simplify166.0ms (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))

localize151.0ms (1%)

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))
✓accuracy99.2%
(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
50.0ms109×3valid
30.0ms64×2valid
18.0ms78×1valid
1.0ms5×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 17.0ms (24.7% of total)
ival-acos: 16.0ms (23.2% of total)
backward-pass: 15.0ms (21.8% of total)
ival-sub: 10.0ms (14.5% of total)
ival-div: 9.0ms (13.1% of total)
const: 1.0ms (1.5% of total)

series3.0ms (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
0.0ms
v
@inf
(* 5 (* v v))
0.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0ms
v
@inf
(- 1 (* 5 (* v v)))
0.0ms
v
@0
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0ms
v
@0
(- 1 (* 5 (* v v)))

rewrite348.0ms (2.3%)

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)))

simplify207.0ms (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)

eval51.0ms (0.3%)

Compiler

Compiled 13089 to 1306 computations (90% saved)

prune46.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3986404
Fresh000
Picked011
Done000
Total3987405
Accuracy
99.2%
Counts
405 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.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))))))))
▶1.7%
(/.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))))))
▶99.2%
(-.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)))))
1.7%
(*.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 #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)))))))
✓99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
▶98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
▶98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 375 to 185 computations (50.7% saved)

simplify210.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
✓cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(-.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)))))
✓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))
✓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))))))))
Rules
1696×*-lowering-*.f32
1696×*-lowering-*.f64
1500×fma-lowering-fma.f32
1500×fma-lowering-fma.f64
1266×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037502
185471
2176467
3323467
4620467
51478467
64956467
08133467
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) (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
(acos -1)
-1
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(PI)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(- 1 (* v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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
2
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 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) (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 (*.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))))))
(- (/ (* (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 (*.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 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))
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)
(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)
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(-.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)))))
(PI)
(PI.f64)
(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 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v 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))
(+.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)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.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 (*.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)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.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 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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 (/ (+ 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)
2
#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))

localize489.0ms (3.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.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))))))
✓accuracy99.1%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy7.9%
(-.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)))
✓accuracy7.9%
(+.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 #s(literal 1 binary64) (*.f64 v v)))
✓accuracy100.0%
(-.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)))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy6.6%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v 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))
✓accuracy99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy100.0%
(acos.f64 #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 (/.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)))
✓accuracy7.9%
(+.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)))))
Results
217.0ms115×2valid
162.0ms137×1valid
2.0ms4×0valid
Compiler

Compiled 533 to 38 computations (92.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-acos: 36.0ms (16.8% of total)
ival-div: 35.0ms (16.3% of total)
backward-pass: 34.0ms (15.8% of total)
ival-pow: 30.0ms (14% of total)
ival-mult: 27.0ms (12.6% of total)
ival-asin: 18.0ms (8.4% of total)
ival-add: 15.0ms (7% of total)
ival-sub: 13.0ms (6.1% of total)
ival-pi: 4.0ms (1.9% of total)
const: 2.0ms (0.9% of total)

series15.0ms (0.1%)

Counts
21 → 180
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) (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 (acos -1)>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (* v v)>
#<alt (- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))>
#<alt (PI)>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))>
#<alt (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
#<alt (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)>
#<alt (* (* v v) -5)>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
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))) (+ (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 (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 (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))>
#<alt (+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt 5>
#<alt (+ 5 (* 4 (/ 1 (pow v 2))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))>
#<alt (+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 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)>
#<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)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
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)))))))
2.0ms
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)))))))
2.0ms
v
@-inf
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
1.0ms
v
@inf
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
1.0ms
v
@0
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))

rewrite564.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
6006×*-lowering-*.f32
6006×*-lowering-*.f64
3148×/-lowering-/.f32
3148×/-lowering-/.f64
2468×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037335
1273183
22531180
011217180
Stop Event
1×iter limit
1×node limit
Counts
21 → 844
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) (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)))
(acos -1)
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(* v v)
(- (PI) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(PI)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 3)
(* (* v v) -5)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
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 (PI.f64) (-.f64 #s(literal 0 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 (PI.f64) #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 (-.f64 #s(literal 0 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))))) (PI.f64))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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 (*.f64 v v) #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)))))) #s(literal 8 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)))) (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) (PI.f64)) #s(literal 4 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))))) (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 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 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (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)))))
(+.f64 (-.f64 (PI.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 #s(literal 1 binary64) (*.f64 v v)))))
(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 -1 binary64) (neg.f64 (*.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))) (*.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)))) (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 8 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)))) (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) (PI.f64)) #s(literal 4 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 (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)) (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) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.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 (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 (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 (*.f64 (PI.f64) (PI.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 (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 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.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 (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 (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)))))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 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))))))
(fma.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 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) #s(literal 4 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))))) (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 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)))))))
(fma.f64 (PI.f64) (/.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)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (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)))) (acos.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 (*.f64 (PI.f64) (PI.f64)) (/.f64 #s(literal 1/4 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))))) (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 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)))))))
(fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 1/8 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)))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))) (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)))) (acos.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 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 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 (*.f64 v v) #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))))))) (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)))) (acos.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 #s(literal 1 binary64) (PI.f64) (-.f64 #s(literal 0 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))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #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)))))
(fma.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)))) (PI.f64))
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 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))))) (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 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)))))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.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 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #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)))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 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))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #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)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 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)))))
(fma.f64 #s(literal 1/2 binary64) (PI.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)))))
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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 (*.f64 v v) #s(literal -1 binary64)))))) (*.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))))))
(/.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))))))) (*.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))))))))
(/.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 (*.f64 v v) #s(literal -1 binary64)))))) (*.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))))))
(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 (*.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) (*.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))
(pow.f64 (/.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 (/.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.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 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 (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)))))))
(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 (*.f64 v v) #s(literal -1 binary64)))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 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 3/2 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 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 (*.f64 v v) #s(literal -1 binary64))))) #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 (*.f64 v v) #s(literal -1 binary64))))) #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 (*.f64 v v) #s(literal -1 binary64))))) #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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64))))))) #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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.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))
(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 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 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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.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)))) (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)) (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 3/2 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 (sqrt.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 (sqrt.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 v (*.f64 v #s(literal -5 binary64))))
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(*.f64 (*.f64 v (*.f64 v #s(literal -5 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 v #s(literal -5 binary64)) v)
(*.f64 (*.f64 #s(literal 1 binary64) v) (*.f64 v #s(literal -5 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.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))))))
(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))))))
(-.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 (*.f64 v v) #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.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))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.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))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.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))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (neg.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))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.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))))))
(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)))))
(neg.f64 (asin.f64 (/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.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))) #s(literal 8 binary64)) (pow.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)))) #s(literal 3 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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.f64 v v) #s(literal -1 binary64))))))))
(/.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 (*.f64 v v) #s(literal -1 binary64)))) #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 (*.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))))
(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 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 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.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 (sqrt.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))))) (sqrt.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 (sqrt.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 1 binary64)) (pow.f64 (sqrt.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 1 binary64)))

simplify240.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
2500×*-lowering-*.f32
2500×*-lowering-*.f64
1588×sum3-define
1516×fma-lowering-fma.f32
1516×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0803062
12102753
24402729
39832727
421172725
552292724
084242724
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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))) (+ (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))
(acos (- (* 4 (pow v 2)) 1))
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(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)
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(* 4 (pow v 2))
(pow v 2)
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(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
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(+ 1 (* -4 (pow v 2)))
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5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
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(+ 5 (* 4 (/ 1 (pow v 2))))
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(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
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(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
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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)
(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)
(* -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)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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))) (+ (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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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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(/ (- (* 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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(/ (- (* 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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(/ (- (* 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 (*.f64 v 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 (*.f64 v 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 (*.f64 v 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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1
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#s(literal 5 binary64)
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#s(literal 5 binary64)
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(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))
(* -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))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))

eval666.0ms (4.4%)

Compiler

Compiled 120298 to 4565 computations (96.2% saved)

prune237.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New210492113
Fresh011
Picked325
Done011
Total2107132120
Accuracy
99.2%
Counts
2120 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (fma.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)))) (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) (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))))))
96.2%
(/.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))))))))
1.7%
(/.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 (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))))))
▶1.7%
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶99.2%
(/.f64 #s(literal 1 binary64) (/.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))))))
97.7%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
98.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
▶97.7%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
▶98.7%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
▶1.7%
(*.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 #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)))))))
✓99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 677 to 389 computations (42.5% saved)

simplify169.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.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)))
✓cost-diff128
(*.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 #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 (PI.f64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.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)))
✓cost-diff0
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓cost-diff6656
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓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
(PI.f64)
✓cost-diff0
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
✓cost-diff0
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓cost-diff0
(/.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)))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.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))))))
Rules
2218×fma-lowering-fma.f32
2218×fma-lowering-fma.f64
1892×sum3-define
1786×fma-define
1702×sum4-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
042543
189504
2149496
3284496
4570496
51254496
63235493
77465493
08653493
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))))
1
(/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(+ 1 (* v (* v -5)))
(* v (* v -5))
v
(* v -5)
-5
(+ (* v v) -1)
(* v v)
-1
(- (PI) (acos (+ 1 (* (* v v) -4))))
(PI)
(acos (+ 1 (* (* v v) -4)))
(+ 1 (* (* v v) -4))
1
(* (* v v) -4)
(* v v)
v
-4
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(- 1 (* v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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
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))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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
2
(/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
Outputs
(/ 1 (/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -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))))
1
#s(literal 1 binary64)
(/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))
(/.f64 #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 (/ (+ 1 (* v (* v -5))) (+ (* v v) -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))))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
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)
(- (PI) (acos (+ 1 (* (* v v) -4))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(PI)
(PI.f64)
(acos (+ 1 (* (* v v) -4)))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
(+ 1 (* (* v v) -4))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))
1
#s(literal 1 binary64)
(* (* v v) -4)
(*.f64 (*.f64 v v) #s(literal -4 binary64))
(* v v)
(*.f64 v v)
v
-4
#s(literal -4 binary64)
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* 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)
2
#s(literal 2 binary64)
(acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* v (* v -5))) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 1 (* v (* v -5)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(* v (* v -5))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* v -5)
(*.f64 v #s(literal -5 binary64))
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 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) #s(literal 2 binary64))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v)))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* 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)
2
#s(literal 2 binary64)
(/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 #s(literal 1 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) #s(literal 2 binary64))))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.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 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize604.0ms (3.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.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 #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)))))))
✓accuracy99.1%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy7.9%
(-.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)))
✓accuracy7.9%
(+.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)))))
✓accuracy99.4%
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓accuracy99.1%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy7.9%
(-.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)))
✓accuracy6.6%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy99.7%
(*.f64 (*.f64 v v) #s(literal -5 binary64))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy6.6%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(*.f64 (*.f64 v v) #s(literal -4 binary64))
✓accuracy100.0%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓accuracy6.6%
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
✓accuracy100.0%
(/.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)))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.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))))))
✓accuracy99.8%
(*.f64 v (*.f64 v #s(literal -5 binary64)))
✓accuracy99.2%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
Results
300.0ms115×2valid
166.0ms137×1valid
2.0ms4×0valid
Compiler

Compiled 581 to 43 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-acos: 76.0ms (24.4% of total)
ival-mult: 65.0ms (20.9% of total)
ival-div: 58.0ms (18.6% of total)
backward-pass: 42.0ms (13.5% of total)
ival-add: 17.0ms (5.5% of total)
ival-asin: 15.0ms (4.8% of total)
ival-sub: 14.0ms (4.5% of total)
ival-pow: 14.0ms (4.5% of total)
ival-cbrt: 4.0ms (1.3% of total)
ival-pi: 3.0ms (1% of total)
const: 2.0ms (0.6% of total)

series11.0ms (0.1%)

Counts
23 → 216
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))))>
#<alt (/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))>
#<alt (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))>
#<alt (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))>
#<alt (- (PI) (acos (+ 1 (* (* v v) -4))))>
#<alt (PI)>
#<alt (acos (+ 1 (* (* v v) -4)))>
#<alt (+ 1 (* (* v v) -4))>
#<alt (- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))>
#<alt (* v (* v -5))>
#<alt (* (* v v) -4)>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))>
#<alt (* (* v v) -5)>
#<alt (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))>
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 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (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 (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 (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (+ 1 (* -4 (pow v 2)))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* -4 (pow v 2))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (* (pow v 2) (- (/ 1 (pow v 2)) 4))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))>
#<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 (* -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 (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (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 (* -5 (pow v 2))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<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)))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
v
@inf
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
1.0ms
v
@inf
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))
1.0ms
v
@0
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))
1.0ms
v
@inf
(/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))
1.0ms
v
@0
(/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))

rewrite547.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4154×*-lowering-*.f32
4154×*-lowering-*.f64
1992×/-lowering-/.f32
1992×/-lowering-/.f64
1948×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042220
1305204
22305201
08905201
Stop Event
1×iter limit
1×node limit
Counts
23 → 1430
Calls
Call 1
Inputs
(/ 1 (/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))))
(/ 1 (acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1))))
(acos (/ (+ 1 (* v (* v -5))) (+ (* v v) -1)))
(/ (+ 1 (* v (* v -5))) (+ (* v v) -1))
(- (PI) (acos (+ 1 (* (* v v) -4))))
(PI)
(acos (+ 1 (* (* v v) -4)))
(+ 1 (* (* v v) -4))
(- (cbrt (* (PI) (* (PI) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))))
(* v (* v -5))
(* (* v v) -4)
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(* (* v v) -5)
(acos (/ (+ 1 (* v (* v -5))) (- 1 (* v v))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
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))))
(+.f64 (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.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 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (neg.f64 (/.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 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (-.f64 #s(literal 0 binary64) (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 2 binary64)))))
(+.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64))
(+.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (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 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(exp.f64 (log.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))))))
(exp.f64 (*.f64 (log.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))))) #s(literal 1 binary64)))
(-.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.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 #s(literal -5 binary64) (*.f64 v v)))) (+.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (/.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 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 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)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))) (/.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(fma.f64 #s(literal 1 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal -1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (PI.f64))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
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(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #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))))))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 #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))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal -1 binary64))))) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (/.f64 #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))))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 #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))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 #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)))))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #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))))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 #s(literal 2 binary64) (/.f64 #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))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) (/.f64 #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)))))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #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))))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (/.f64 #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))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #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)))))) #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #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))))))))
(/.f64 (+.f64 (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (*.f64 #s(literal -2 binary64) (/.f64 #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))))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 #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)))))) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #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))))))))
(/.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 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)))))))) (*.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 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)))))))))
(/.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))) (*.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))))
(pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 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 (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 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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64)))) #s(literal -1 binary64))
(*.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #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))))))
(*.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))) #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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 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) #s(literal 2 binary64)))))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64))) #s(literal 1 binary64)) (/.f64 #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))))))
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (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 2 binary64))) #s(literal -1 binary64)) (/.f64 #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))))))

simplify261.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3410×*-lowering-*.f32
3410×*-lowering-*.f64
1254×times-frac
1242×fma-lowering-fma.f32
1242×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0743185
11962855
24542804
311412801
427732800
576332800
084652800
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 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)))
(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)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* -4 (pow v 2)))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* -4 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(* (pow v 2) (- (/ 1 (pow v 2)) 4))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(* -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))
(* -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))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (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))
(* -5 (pow v 2))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(+ (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)))
Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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)))))
(/ 1 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/.f64 #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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (+.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 #s(literal 4 binary64) (*.f64 v (+.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 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) 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 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.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 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 v v))) v) v) #s(literal -1 binary64))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (+ 1 (* -4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64)))))
(acos (- 1 (* 4 (pow v 2))))
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eval403.0ms (2.6%)

Compiler

Compiled 115800 to 4918 computations (95.8% saved)

prune336.0ms (2.2%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New247062476
Fresh055
Picked145
Done033
Total2471182489
Accuracy
99.2%
Counts
2489 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
4.8%
(/.f64 (fma.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)))) (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) (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))))))
96.2%
(/.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))))))))
1.7%
(/.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 (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))))))
✓1.7%
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))))
✓99.2%
(/.f64 #s(literal 1 binary64) (/.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))))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
97.7%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
▶97.2%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
▶98.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
▶96.8%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓97.7%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓98.7%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
▶1.7%
(*.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 #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)))))))
✓99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 869 to 497 computations (42.8% saved)

simplify219.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
✓cost-diff0
(-.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)))
✓cost-diff128
(*.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 #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)))))))
✓cost-diff6656
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))
✓cost-diff6656
(*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64)))
✓cost-diff13312
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓cost-diff13312
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff12864
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
✓cost-diff12864
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓cost-diff0
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))
✓cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))))
Rules
4456×*-lowering-*.f32
4456×*-lowering-*.f64
1258×sum3-define
1226×distribute-lft-neg-in
1204×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059548
1142473
2345464
31340464
45407464
08261464
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))))
1
(/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))
(acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))
(/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))
(- 1 (* (* v (* v (* v v))) 25))
(* (* v (* v (* v v))) 25)
(* v (* v (* v v)))
v
(* v (* v v))
(* v v)
25
(* (+ (* v v) -1) (+ 1 (* 5 (* v v))))
(+ (* v v) -1)
-1
(+ 1 (* 5 (* v v)))
(* 5 (* v v))
5
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(PI)
2
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
(- (pow (sqrt (PI)) 2) (acos (+ 1 (* (* v v) -4))))
(pow (sqrt (PI)) 2)
(sqrt (PI))
(PI)
2
(acos (+ 1 (* (* v v) -4)))
(+ 1 (* (* v v) -4))
1
(* (* v v) -4)
(* v v)
v
-4
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(PI)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(+ 1 (* (* v v) -5))
1
(* (* v v) -5)
(* v v)
v
-5
(- 1 (* v v))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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
2
(/ 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))
Outputs
(/ 1 (/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
1
#s(literal 1 binary64)
(/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))))
(acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))))
(/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))
(- 1 (* (* v (* v (* v v))) 25))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64))))
(* (* v (* v (* v v))) 25)
(*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal 25 binary64)))
(* v (* v (* v v)))
(*.f64 v (*.f64 v (*.f64 v v)))
v
(* v (* v v))
(*.f64 v (*.f64 v v))
(* v v)
(*.f64 v v)
25
#s(literal 25 binary64)
(* (+ (* v v) -1) (+ 1 (* 5 (* v v))))
(*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))))
(+ (* v v) -1)
(+.f64 (*.f64 v v) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ 1 (* 5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* 5 (* v v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
5
#s(literal 5 binary64)
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(asin (+ -1 (* v (* v 4))))
(asin.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 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(- (pow (sqrt (PI)) 2) (acos (+ 1 (* (* v v) -4))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -4 binary64))))))
(pow (sqrt (PI)) 2)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
2
#s(literal 2 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)
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(-.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)))))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(PI.f64)
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(+ 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)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(- 1 (* v v))
(-.f64 #s(literal 1 binary64) (*.f64 v v))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (/.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 (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))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(-.f64 (*.f64 (PI.f64) (/.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)))
(/ (* (PI) (PI)) 4)
(*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)
(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))
(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)
(*.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)
2
#s(literal 2 binary64)
(/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))))
(/.f64 #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))))))
(- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))
(-.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)))))
(acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v 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 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))
(+ 1 (* -5 (* v v)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))
(* -5 (* v v))
(*.f64 (*.f64 v v) #s(literal -5 binary64))

localize956.0ms (6.2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy99.1%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy7.9%
(-.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)))
✓accuracy7.9%
(-.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)))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓accuracy98.4%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy6.6%
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
✓accuracy100.0%
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓accuracy98.4%
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy6.6%
(acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64))))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓accuracy99.1%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy99.9%
(*.f64 v (*.f64 v v))
✓accuracy99.8%
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))
✓accuracy99.7%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))
Results
418.0ms108×3valid
194.0ms82×1valid
188.0ms62×2valid
3.0ms4×0valid
Compiler

Compiled 605 to 60 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 562.0ms
ival-acos: 168.0ms (29.9% of total)
ival-mult: 101.0ms (18% of total)
backward-pass: 67.0ms (11.9% of total)
ival-div: 59.0ms (10.5% of total)
ival-asin: 44.0ms (7.8% of total)
ival-add: 42.0ms (7.5% of total)
ival-sub: 39.0ms (6.9% of total)
ival-pow: 18.0ms (3.2% of total)
ival-cbrt: 10.0ms (1.8% of total)
ival-sqrt: 6.0ms (1.1% of total)
const: 4.0ms (0.7% of total)
ival-pi: 3.0ms (0.5% of total)

series13.0ms (0.1%)

Counts
30 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))))>
#<alt (/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))>
#<alt (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))>
#<alt (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))>
#<alt (- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (asin (+ -1 (* v (* v 4))))>
#<alt (- (pow (sqrt (PI)) 2) (acos (+ 1 (* (* v v) -4))))>
#<alt (pow (sqrt (PI)) 2)>
#<alt (sqrt (PI))>
#<alt (- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))>
#<alt (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))>
#<alt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))>
#<alt (* (cbrt (* (PI) (* (PI) (PI)))) (PI))>
#<alt (* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (* 5 (* v v))>
#<alt (* (* v (* v (* v v))) 25)>
#<alt (* v (* v v))>
#<alt (* v 4)>
#<alt (acos (+ 1 (* (* v v) -4)))>
#<alt (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))>
Outputs
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 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 (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (asin (- (* 4 (pow v 2)) 1))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (+ 1 (* -4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (- 1 (* 4 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 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 (* 5 (pow v 2))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (* 25 (pow v 4))>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (pow v 3)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (* 4 v)>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (+ 1 (* -4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (- 1 (* 4 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
#<alt (asin (/ (- 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 (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
v
@inf
(/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))
1.0ms
v
@inf
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
1.0ms
v
@0
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
1.0ms
v
@0
(/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))
0.0ms
v
@0
(* (* v (* v (* v v))) 25)

rewrite459.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
3446×*-lowering-*.f32
3446×*-lowering-*.f64
1822×pow-lowering-pow.f64
1822×pow-lowering-pow.f32
1632×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059305
1401213
23350211
08422211
Stop Event
1×iter limit
1×node limit
Counts
30 → 1372
Calls
Call 1
Inputs
(/ 1 (/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))))
(/ 1 (acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))))
(acos (/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v))))))
(/ (- 1 (* (* v (* v (* v v))) 25)) (* (+ (* v v) -1) (+ 1 (* 5 (* v v)))))
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(PI)
(asin (+ -1 (* v (* v 4))))
(- (pow (sqrt (PI)) 2) (acos (+ 1 (* (* v v) -4))))
(pow (sqrt (PI)) 2)
(sqrt (PI))
(- (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) (acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v)))))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(* (- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2)) (/ 1 (- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(* 5 (* v v))
(* (* v (* v (* v v))) 25)
(* v (* v v))
(* v 4)
(acos (+ 1 (* (* v v) -4)))
(acos (/ (+ 1 (* (* v v) -5)) (- 1 (* v v))))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(- (PI) (acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(acos (/ (+ 1 (* -5 (* v v))) (+ (* v v) -1)))
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 (PI.f64) (-.f64 #s(literal 0 binary64) (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 #s(literal 1 binary64) (*.f64 v v)))))
(+.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (PI.f64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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) (PI.f64)) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal 0 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) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (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 #s(literal 0 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 #s(literal 1 binary64) (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 (/.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 (-.f64 (PI.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 #s(literal 1 binary64) (*.f64 v v)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #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)))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.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))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.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))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #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)))))) #s(literal -1 binary64)) #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 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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)) (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 (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)) (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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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 (pow.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)))) #s(literal 3 binary64)) (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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 (*.f64 (PI.f64) (PI.f64)) (+.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 (pow.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)))) #s(literal 2 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 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 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)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (PI.f64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (PI.f64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v 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 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v 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)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (cbrt.f64 (PI.f64)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
(fma.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (-.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))))
(neg.f64 (-.f64 #s(literal 0 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 #s(literal 1 binary64) (/.f64 #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))))))
(/.f64 #s(literal 1 binary64) (/.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 (*.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 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (PI.f64) (PI.f64)) (*.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 (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) (*.f64 (PI.f64) (PI.f64))) (pow.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)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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) (PI.f64)) (pow.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)))) #s(literal 2 binary64)))))
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(*.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)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (*.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))))
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(*.f64 (pow.f64 (pow.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)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.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)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify374.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3582×*-lowering-*.f32
3582×*-lowering-*.f64
1908×+-lowering-+.f64
1908×+-lowering-+.f32
1538×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0813135
12142862
25062799
313602796
439852795
083162795
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 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)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(asin (- (* 4 (pow v 2)) 1))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (+ 1 (* -4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (- 1 (* 4 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 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))
(* 5 (pow v 2))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(* 25 (pow v 4))
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(pow v 3)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (+ 1 (* -4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (- 1 (* 4 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(acos (/ (- 1 (* 5 (pow v 2))) (- 1 (pow v 2))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin (/ (- 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)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
Outputs
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64)))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 (*.f64 v (*.f64 v v)) #s(literal -25 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))))
(/ 1 (acos (/ (- 1 (* 25 (pow v 4))) (* (+ 1 (* 5 (pow v 2))) (- (pow v 2) 1)))))
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(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.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)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.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)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.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)))))
(- (PI) (acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))))
(-.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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 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))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(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 (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))

eval450.0ms (2.9%)

Compiler

Compiled 77658 to 6237 computations (92% saved)

prune289.0ms (1.9%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New219342197
Fresh246
Picked145
Done077
Total2196192215
Accuracy
99.2%
Counts
2215 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.7%
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
4.8%
(/.f64 (fma.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)))) (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) (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))))))
1.7%
(/.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 (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))))))
✓1.7%
(/.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))) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
✓99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))))
✓99.2%
(/.f64 #s(literal 1 binary64) (/.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))))))
98.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
95.7%
(-.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
97.7%
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))
97.2%
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
✓98.7%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓96.8%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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)))))
✓97.7%
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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)))))
✓98.7%
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
2.3%
(*.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #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 #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)))))))
✓1.7%
(*.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 #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)))))))
✓99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
✓98.7%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓98.1%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1269 to 443 computations (65.1% saved)

regimes26.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (PI.f64) (acos.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 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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))))
(-.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 #s(literal 1 binary64) (/.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 (*.f64 v v) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))))))))
(-.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(-.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64)) (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 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(-.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.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 (/.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))) (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) (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 (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))))))
(*.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 #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) (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 (-.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 #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 (fma.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)))) (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) (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 (-.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 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 6 binary64)) #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 #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 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 2 binary64))) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))))))
(-.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(/.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))))))))
Outputs
(/.f64 #s(literal 1 binary64) (/.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))))))
Calls

4 calls:

7.0ms
v
6.0ms
(*.f64 v v)
6.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%1v
99.2%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))))
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(-.f64 (PI.f64) (acos.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 v (*.f64 v #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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))))
(-.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)))))
Outputs
(-.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)))))
Calls

4 calls:

3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%1v
99.2%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))))
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes38.0ms (0.2%)

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

31.0ms
(*.f64 v v)
2.0ms
v
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%1v
99.2%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))))
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes22.0ms (0.1%)

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

2 calls:

20.0ms
v
2.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(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:

1.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
98.7%1v
98.7%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
v
Results
AccuracySegmentsBranch
98.1%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
04280
17580
29980
311580
412180
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.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))))))
(-.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)))))
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.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))))))
(-.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 (PI.f64) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (-.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 (-.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 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(-.f64 (PI.f64) (acos.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -4 binary64)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))

soundness1.6s (10.8%)

Rules
6006×*-lowering-*.f32
6006×*-lowering-*.f64
4532×*-lowering-*.f32
4532×*-lowering-*.f64
3504×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0743185
11962855
24542804
311412801
427732800
576332800
084652800
037335
1273183
22531180
011217180
0940
16640
253937
3747637
0864337
0803062
12102753
24402729
39832727
421172725
552292724
084242724
037461
1106419
2303416
3840413
42199412
56288410
08300410
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 153 to 94 computations (38.6% saved)

preprocess43.0ms (0.3%)

Remove

(abs v)

Compiler

Compiled 306 to 178 computations (41.8% saved)

end0.0ms (0%)

Profiling

Loading profile data...