Falkner and Boettcher, Appendix B, 1

Time bar (total: 15.3s)

analyze512.0ms (3.3%)

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: 248.0ms
ival-acos: 80.0ms (32.2% of total)
ival-sub: 73.0ms (29.4% of total)
ival-mult: 59.0ms (23.8% of total)
ival-div: 27.0ms (10.9% of total)
const: 6.0ms (2.4% of total)
backward-pass: 2.0ms (0.8% of total)

sample4.3s (28.2%)

Results
1.5s3812×3valid
766.0ms2039×2valid
745.0ms8193×0invalid
500.0ms2204×1valid
18.0ms201×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-acos: 654.0ms (26.1% of total)
ival-mult: 645.0ms (25.7% of total)
ival-sub: 398.0ms (15.9% of total)
backward-pass: 392.0ms (15.6% of total)
ival-div: 366.0ms (14.6% of total)
const: 55.0ms (2.2% of total)
Bogosity

preprocess234.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01737
16637
219334
367934
4271134
5641134
0912
13312
28011
322011
464711
5150511
6365911
7684411
0818511
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 (square v) -1) (fmsub v v 1)))
(acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1)))
(acos (/ (fnmsub 5 (square v) -1) (fmsub v v 1)))
(neg (acos (/ (- 1 (* 5 (* (neg v) (neg v)))) (- (* (neg v) (neg v)) 1))))
(neg (acos (/ (fnmsub 5 (square v) -1) (fmsub v v 1))))
Symmetry

(abs v)

explain356.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
8247(3.627647524623648e-55)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)
01(7.56750478260077e-163)0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
Results
151.0ms224×3valid
87.0ms154×2valid
31.0ms122×1valid
1.0ms12×0valid
Compiler

Compiled 119 to 29 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-acos: 35.0ms (26.9% of total)
ival-mult: 31.0ms (23.8% of total)
backward-pass: 29.0ms (22.3% of total)
ival-sub: 19.0ms (14.6% of total)
ival-div: 14.0ms (10.8% of total)
const: 3.0ms (2.3% 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
▶99.1%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify169.0ms (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
0942
13342
28039
322039
464739
5150539
6365939
7684439
0818539
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))

localize188.0ms (1.2%)

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
74.0ms112×3valid
53.0ms77×2valid
39.0ms61×1valid
1.0ms6×0valid
Compiler

Compiled 52 to 10 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
backward-pass: 26.0ms (36.9% of total)
ival-acos: 15.0ms (21.3% of total)
ival-mult: 12.0ms (17% of total)
ival-sub: 9.0ms (12.8% of total)
ival-div: 8.0ms (11.4% of total)
const: 1.0ms (1.4% 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)))
0.0ms
v
@inf
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0ms
v
@0
(/ (- 1 (* 5 (* v v))) (- (* v v) 1))
0.0ms
v
@0
(* 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
1052×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0935
16835
254832
3754332
0803432
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 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (*.f64 (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 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) #s(literal -5 binary64)))) (/.f64 (*.f64 v (*.f64 v (*.f64 (*.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 (*.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 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.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 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 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 v (*.f64 v (*.f64 (*.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 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) #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 v (*.f64 (*.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 (*.f64 v v) #s(literal -5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.f64 v v) #s(literal 25 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 (*.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 v (*.f64 v (*.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 #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)))

simplify222.0ms (1.4%)

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: 4 (0.0ms)

IterNodesCost
037461
1108356
2307354
3844354
42205353
56341353
08362353
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 (*.f64 v v) #s(literal 4 binary64))))))
(- (* (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 (*.f64 v v) #s(literal 4 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 -1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 4 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 -1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal 4 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)

eval55.0ms (0.4%)

Compiler

Compiled 13088 to 1301 computations (90.1% saved)

prune44.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3977404
Fresh000
Picked101
Done000
Total3987405
Accuracy
99.2%
Counts
405 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
1.8%
(/.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))))))
99.1%
(/.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)))))
▶99.1%
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
▶99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
▶99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
▶99.1%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
▶98.4%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 348 to 182 computations (47.7% saved)

simplify190.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))
✓cost-diff0
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓cost-diff128
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))
✓cost-diff0
(*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓cost-diff0
(*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))
✓cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓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 v v)
✓cost-diff0
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))))))
✓cost-diff0
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
Rules
2358×fma-define
2122×+-lowering-+.f64
2122×+-lowering-+.f32
1970×fnmsub-define
1856×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026227
170205
2187205
3510205
41341202
52600196
64379196
77333196
08214196
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))))
(+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4)))))))
-1
(* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))
(* v v)
v
(+ 4 (* v (* v (+ 4 (* (* v v) 4)))))
4
(* v (* v (+ 4 (* (* v v) 4))))
(* v (+ 4 (* (* v v) 4)))
(+ 4 (* (* v v) 4))
(* (* v v) 4)
(acos -1)
-1
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
-1
(* (* v v) 4)
(* v v)
v
4
(acos (+ -1 (* v (* v (+ 4 (* (* v v) 4))))))
(+ -1 (* v (* v (+ 4 (* (* v v) 4)))))
-1
(* v (* v (+ 4 (* (* v v) 4))))
v
(* v (+ 4 (* (* v v) 4)))
(+ 4 (* (* v v) 4))
4
(* (* v v) 4)
(* v v)
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)))
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))
(/ (+ (* 5 (* v v)) -1) (+ 1 v))
(+ (* 5 (* v v)) -1)
(* 5 (* v v))
5
(* v v)
v
-1
(+ 1 v)
1
(- 1 v)
Outputs
(acos (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))))
(+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4)))))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))))
-1
#s(literal -1 binary64)
(* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))
(*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
(* v v)
(*.f64 v v)
v
(+ 4 (* v (* v (+ 4 (* (* v v) 4)))))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
4
#s(literal 4 binary64)
(* v (* v (+ 4 (* (* v v) 4))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(* v (+ 4 (* (* v v) 4)))
(*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(+ 4 (* (* v v) 4))
(+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
(* (* v v) 4)
(*.f64 v (*.f64 v #s(literal 4 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)
(acos (+ -1 (* v (* v (+ 4 (* (* v v) 4))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(+ -1 (* v (* v (+ 4 (* (* v v) 4)))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
-1
#s(literal -1 binary64)
(* v (* v (+ 4 (* (* v v) 4))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
v
(* v (+ 4 (* (* v v) 4)))
(*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
(+ 4 (* (* v v) 4))
(+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))
4
#s(literal 4 binary64)
(* (* v v) 4)
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(* v v)
(*.f64 v v)
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/ (+ (* 5 (* v v)) -1) (+ 1 v))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 v #s(literal 1 binary64)))
(+ (* 5 (* v v)) -1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))
(* 5 (* v v))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(* v v)
(*.f64 v v)
v
-1
#s(literal -1 binary64)
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 v)
(-.f64 #s(literal 1 binary64) v)

localize464.0ms (3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))
✓accuracy100.0%
(/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))
✓accuracy99.7%
(*.f64 #s(literal 5 binary64) (*.f64 v v))
✓accuracy99.2%
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓accuracy100.0%
(*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))
✓accuracy100.0%
(*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓accuracy99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 v v)
✓accuracy99.9%
(*.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))
✓accuracy100.0%
(*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓accuracy99.9%
(*.f64 (*.f64 v v) #s(literal 4 binary64))
✓accuracy99.9%
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓accuracy99.2%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
Results
226.0ms111×3valid
113.0ms78×2valid
52.0ms61×1valid
4.0ms6×0valid
Compiler

Compiled 270 to 27 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 202.0ms
ival-acos: 64.0ms (31.7% of total)
backward-pass: 57.0ms (28.2% of total)
ival-mult: 33.0ms (16.3% of total)
ival-add: 30.0ms (14.8% of total)
ival-div: 12.0ms (5.9% of total)
ival-sub: 4.0ms (2% of total)
const: 2.0ms (1% of total)

series7.0ms (0%)

Counts
17 → 192
Calls
Call 1
Inputs
#<alt (acos (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))))>
#<alt (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4)))))))>
#<alt (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))>
#<alt (* v v)>
#<alt (acos -1)>
#<alt (acos (+ -1 (* (* v v) 4)))>
#<alt (+ -1 (* (* v v) 4))>
#<alt (* (* v v) 4)>
#<alt (acos (+ -1 (* v (* v (+ 4 (* (* v v) 4))))))>
#<alt (+ -1 (* v (* v (+ 4 (* (* v v) 4)))))>
#<alt (* v (* v (+ 4 (* (* v v) 4))))>
#<alt (* v (+ 4 (* (* v v) 4)))>
#<alt (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))>
#<alt (acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)))>
#<alt (/ (+ (* 5 (* v v)) -1) (+ 1 v))>
#<alt (+ (* 5 (* v v)) -1)>
#<alt (* 5 (* v v))>
Outputs
#<alt (acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 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 (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))>
#<alt (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))>
#<alt (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))>
#<alt (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* 4 (pow v 6))>
#<alt (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (pow v 2)>
#<alt (acos (- (* 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 (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt (acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))>
#<alt -1>
#<alt (- (* 4 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* (pow v 2) (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 4))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 v)>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* v (+ 4 (* 4 (pow v 2))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 3))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<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 (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt -1>
#<alt (- v 1)>
#<alt (- (* v (+ 1 (* 4 v))) 1)>
#<alt (- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)>
#<alt (* 5 v)>
#<alt (* v (- 5 (* 5 (/ 1 v))))>
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))>
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))>
#<alt (* 5 v)>
#<alt (* -1 (* v (- (* 5 (/ 1 v)) 5)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))>
#<alt -1>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 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))>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
v
@inf
(* (* v v) 4)
0.0ms
v
@inf
(* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))
0.0ms
v
@inf
(+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4)))))))
0.0ms
v
@inf
(acos (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))))
0.0ms
v
@inf
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))

rewrite364.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3130×*-lowering-*.f32
3130×*-lowering-*.f64
3070×/-lowering-/.f32
3070×/-lowering-/.f64
2336×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026153
1176137
21570137
08234137
Stop Event
1×iter limit
1×node limit
Counts
17 → 459
Calls
Call 1
Inputs
(acos (+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))))
(+ -1 (* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4)))))))
(* (* v v) (+ 4 (* v (* v (+ 4 (* (* v v) 4))))))
(* v v)
(acos -1)
(acos (+ -1 (* (* v v) 4)))
(+ -1 (* (* v v) 4))
(* (* v v) 4)
(acos (+ -1 (* v (* v (+ 4 (* (* v v) 4))))))
(+ -1 (* v (* v (+ 4 (* (* v v) 4)))))
(* v (* v (+ 4 (* (* v v) 4))))
(* v (+ 4 (* (* v v) 4)))
(/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v))
(acos (/ (/ (+ (* 5 (* v v)) -1) (+ 1 v)) (- 1 v)))
(/ (+ (* 5 (* v v)) -1) (+ 1 v))
(+ (* 5 (* v v)) -1)
(* 5 (* v v))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 3 binary64)) (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (+.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 8 binary64)) (pow.f64 (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))))))) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))))))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))
(+.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (+.f64 (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))) #s(literal -1 binary64)))
(+.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))) (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) (/.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))))
(-.f64 (/.f64 (*.f64 v (*.f64 (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))))) (-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) (+.f64 (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) (+.f64 (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))) #s(literal -1 binary64))
(fma.f64 #s(literal 4 binary64) (*.f64 v v) (+.f64 (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))))) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 v v) (*.f64 (*.f64 v v) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 4 binary64))) #s(literal -1 binary64))))) (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (*.f64 #s(literal 16 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (*.f64 v v)))) (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))))
(fma.f64 (*.f64 v #s(literal 4 binary64)) v (+.f64 (*.f64 v (*.f64 (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64))) (*.f64 v v))) #s(literal -1 binary64)))
(fma.f64 (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) (*.f64 v #s(literal 4 binary64)))))) v #s(literal -1 binary64))
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(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (-.f64 v #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (-.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (pow.f64 (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (-.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (-.f64 v #s(literal 1 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal 1 binary64))))))
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))
(+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64))
(-.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(fma.f64 v (*.f64 v #s(literal 5 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal 125 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal 1 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 #s(literal 5 binary64)) v)

simplify572.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
3100×*-lowering-*.f32
3100×*-lowering-*.f64
1940×+-lowering-+.f64
1940×+-lowering-+.f32
1418×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01211781
14071501
211741481
340221441
088151441
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 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)
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* 4 (pow v 6))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(pow v 2)
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(- (* 4 (pow v 2)) 1)
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(* 4 (pow v 2))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 4))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 v)
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* v (+ 4 (* 4 (pow v 2))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 3))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
-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)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
-1
(- v 1)
(- (* v (+ 1 (* 4 v))) 1)
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(* 5 v)
(* v (- 5 (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(* 5 v)
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 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))
Outputs
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (+ (* 4 (pow v 4)) (* 4 (pow v 6)))) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 v #s(literal 6 binary64)) (*.f64 (*.f64 v v) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #s(literal -1 binary64))
(* 4 (pow v 6))
(*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* 4 (pow v 6))
(*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (- (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))) (/ 1 (pow v 6))))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v))))))))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))
(* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
(* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2))))))
(*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))))
(* 4 (pow v 6))
(*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* 4 (pow v 6))
(*.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))))
(* (pow v 6) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4)))))
(*.f64 (pow.f64 v #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (*.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)
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))
(* 4 (pow v 4))
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* 4 (pow v 4))
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* (pow v 4) (- (+ 4 (* 4 (/ 1 (pow v 2)))) (/ 1 (pow v 4))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))
(* (pow v 2) (+ 4 (* 4 (pow v 2))))
(*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64)))
(* 4 (pow v 4))
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* 4 (pow v 4))
(*.f64 v (*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 (*.f64 v (*.f64 v (*.f64 v v))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* 4 (pow v 3))
(*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* 4 (pow v 3))
(*.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v v)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 #s(literal 4 binary64) (*.f64 v (+.f64 (*.f64 v v) #s(literal 1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(+.f64 (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (+.f64 (*.f64 v v) #s(literal 1 binary64))))) #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 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal -5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 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 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v v)) #s(literal -5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
-1
#s(literal -1 binary64)
(- v 1)
(+.f64 v #s(literal -1 binary64))
(- (* v (+ 1 (* 4 v))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v #s(literal 4 binary64)))))
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v #s(literal -4 binary64)))))))
(* 5 v)
(*.f64 v #s(literal 5 binary64))
(* v (- 5 (* 5 (/ 1 v))))
(+.f64 (*.f64 v #s(literal 5 binary64)) #s(literal -5 binary64))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(+.f64 (*.f64 v #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal -5 binary64)))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(*.f64 v (+.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) v)) v)) v)))
(* 5 v)
(*.f64 v #s(literal 5 binary64))
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(+.f64 (*.f64 v #s(literal 5 binary64)) #s(literal -5 binary64))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(+.f64 (*.f64 v #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) v) #s(literal -5 binary64)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))
(*.f64 v (+.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) v)) v)) v)))
-1
#s(literal -1 binary64)
(- (* 5 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(- (* 5 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(- (* 5 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(* 5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 5 binary64))

eval143.0ms (0.9%)

Compiler

Compiled 24036 to 2382 computations (90.1% saved)

prune90.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New8584862
Fresh022
Picked235
Done000
Total8609869
Accuracy
99.2%
Counts
869 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶1.8%
(/.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))))))
▶1.7%
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
99.1%
(/.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)))))
▶99.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
▶99.1%
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
▶97.3%
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓99.1%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓98.4%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 395 to 208 computations (47.3% saved)

simplify215.0ms (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-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 (PI.f64) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))
✓cost-diff128
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
✓cost-diff13760
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 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 #s(literal 1 binary64) v)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v))
✓cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓cost-diff128
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))
✓cost-diff0
(/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))
✓cost-diff0
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v))
Rules
2392×fma-lowering-fma.f32
2392×fma-lowering-fma.f64
1862×fnmadd-define
1848×fma-define
1762×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
044364
1105336
2201334
3430334
41038325
52754318
67059318
08614318
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos (/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v)))
(/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v))
(/ 1 (/ (+ v 1) (+ -1 (* v (* v 5)))))
1
(/ (+ v 1) (+ -1 (* v (* v 5))))
(+ v 1)
v
(+ -1 (* v (* v 5)))
-1
(* v (* v 5))
(* v 5)
5
(- 1 v)
(acos (/ (/ -1 (+ 1 v)) (- 1 v)))
(/ (/ -1 (+ 1 v)) (- 1 v))
(/ -1 (+ 1 v))
-1
(+ 1 v)
1
v
(- 1 v)
(- (/ (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
(/ (- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2))
(* (/ (PI) 2) (/ (PI) 2))
(/ (PI) 2)
(PI)
2
(pow (asin (+ -1 (* v (* v 4)))) 2)
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (- (/ (* (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
(acos (/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v)))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 v v)))
(/ 1 (/ (+ v 1) (+ -1 (* v (* v 5)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v))
1
#s(literal 1 binary64)
(/ (+ v 1) (+ -1 (* v (* v 5))))
(/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))
(+ v 1)
(+.f64 #s(literal 1 binary64) 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 5)
(*.f64 v #s(literal 5 binary64))
5
#s(literal 5 binary64)
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
(acos (/ (/ -1 (+ 1 v)) (- 1 v)))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (/ -1 (+ 1 v)) (- 1 v))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(/ -1 (+ 1 v))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) v))
-1
#s(literal -1 binary64)
(+ 1 v)
(+.f64 #s(literal 1 binary64) v)
1
#s(literal 1 binary64)
v
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(/ (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 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ (- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(* (/ (PI) 2) (/ (PI) 2))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI)
(PI.f64)
2
#s(literal 2 binary64)
(pow (asin (+ -1 (* v (* v 4)))) 2)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))
(asin (+ -1 (* v (* v 4))))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 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 #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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #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 #s(literal -1 binary64) (*.f64 v v)))) #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 #s(literal -1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
1
#s(literal 1 binary64)
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(* v v)
(*.f64 v v)
v
-5
#s(literal -5 binary64)
(+ (* v v) -1)
(+.f64 #s(literal -1 binary64) (*.f64 v v))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.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)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))

localize1.3s (8.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (PI.f64) (PI.f64))
✓accuracy100.0%
(*.f64 v v)
✓accuracy100.0%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal -5 binary64))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 v (*.f64 v #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 v (*.f64 v #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) v)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) v)
✓accuracy100.0%
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))
✓accuracy100.0%
(*.f64 v (*.f64 v #s(literal 5 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal 5 binary64))
✓accuracy100.0%
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
Results
842.0ms112×3invalid
187.0ms78×2invalid
130.0ms58×1invalid
5.0ms8×0invalid
Compiler

Compiled 433 to 45 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 481.0ms
backward-pass: 205.0ms (42.6% of total)
ival-div: 58.0ms (12.1% of total)
ival-add: 55.0ms (11.4% of total)
ival-asin: 45.0ms (9.4% of total)
ival-mult: 40.0ms (8.3% of total)
ival-pow: 31.0ms (6.4% of total)
ival-acos: 23.0ms (4.8% of total)
ival-sub: 17.0ms (3.5% of total)
const: 3.0ms (0.6% of total)
ival-pi: 3.0ms (0.6% of total)

series14.0ms (0.1%)

Counts
27 → 264
Calls
Call 1
Inputs
#<alt (/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v))>
#<alt (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5)))))>
#<alt (acos (/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v)))>
#<alt (/ (+ v 1) (+ -1 (* v (* v 5))))>
#<alt (/ (/ -1 (+ 1 v)) (- 1 v))>
#<alt (acos (/ (/ -1 (+ 1 v)) (- 1 v)))>
#<alt (/ -1 (+ 1 v))>
#<alt (+ 1 v)>
#<alt (- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))>
#<alt (/ (PI) 2)>
#<alt (PI)>
#<alt (asin (+ -1 (* v (* v 4))))>
#<alt (/ (- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))>
#<alt (* (/ (PI) 2) (/ (PI) 2))>
#<alt (- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2))>
#<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 (* v 5)>
#<alt (* v (* v 5))>
#<alt (+ -1 (* v (* v 5)))>
#<alt (- 1 v)>
#<alt (* v 4)>
#<alt (* v (* v 4))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (* v v)>
Outputs
#<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 (- v 1)>
#<alt (- (* v (+ 1 (* 4 v))) 1)>
#<alt (- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)>
#<alt (* 5 v)>
#<alt (* v (- 5 (* 5 (/ 1 v))))>
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))>
#<alt (* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))>
#<alt (* 5 v)>
#<alt (* -1 (* v (- (* 5 (/ 1 v)) 5)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt -1>
#<alt (- (* -1 v) 1)>
#<alt (- (* v (- (* -5 v) 1)) 1)>
#<alt (- (* v (- (* v (- (* -5 v) 5)) 1)) 1)>
#<alt (/ 1/5 v)>
#<alt (/ (+ 1/5 (* 1/5 (/ 1 v))) v)>
#<alt (/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/5 (/ 1 v)))) v)>
#<alt (/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (+ (* 1/5 (/ 1 v)) (* 1/25 (/ 1 (pow v 3)))))) v)>
#<alt (/ 1/5 v)>
#<alt (/ (+ 1/5 (* 1/5 (/ 1 v))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/5 (* 1/25 (/ 1 v))) v)) 1/5) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/25 (/ 1 v)))) v)) 1/5) v))>
#<alt -1>
#<alt (- (* -1 (pow v 2)) 1)>
#<alt (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)>
#<alt (- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ (+ 1 (/ 1 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))>
#<alt (/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 v) (- 1 v))))>
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt (acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))>
#<alt -1>
#<alt (- v 1)>
#<alt (- (* v (+ 1 (* -1 v))) 1)>
#<alt (- (* v (+ 1 (* v (- v 1)))) 1)>
#<alt (/ -1 v)>
#<alt (/ (- (/ 1 v) 1) v)>
#<alt (/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v)>
#<alt (/ -1 v)>
#<alt (* -1 (/ (- 1 (/ 1 v)) v))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))) v))>
#<alt 1>
#<alt (+ 1 v)>
#<alt (+ 1 v)>
#<alt (+ 1 v)>
#<alt v>
#<alt (* v (+ 1 (/ 1 v)))>
#<alt (* v (+ 1 (/ 1 v)))>
#<alt (* v (+ 1 (/ 1 v)))>
#<alt v>
#<alt (* v (+ 1 (/ 1 v)))>
#<alt (* v (+ 1 (/ 1 v)))>
#<alt (* v (+ 1 (/ 1 v)))>
#<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 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))>
#<alt (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (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 (- (* 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 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<alt (* 5 v)>
#<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 -1>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (- (* 5 (pow v 2)) 1)>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* 5 (pow v 2))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 5 (/ 1 (pow v 2))))>
#<alt 1>
#<alt (+ 1 (* -1 v))>
#<alt (+ 1 (* -1 v))>
#<alt (+ 1 (* -1 v))>
#<alt (* -1 v)>
#<alt (* v (- (/ 1 v) 1))>
#<alt (* v (- (/ 1 v) 1))>
#<alt (* v (- (/ 1 v) 1))>
#<alt (* -1 v)>
#<alt (* -1 (* v (- 1 (/ 1 v))))>
#<alt (* -1 (* v (- 1 (/ 1 v))))>
#<alt (* -1 (* v (- 1 (/ 1 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 (* 4 v)>
#<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 (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 (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

66 calls:

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

rewrite621.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
6316×*-lowering-*.f32
6316×*-lowering-*.f64
3310×/-lowering-/.f32
3310×/-lowering-/.f64
2328×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044228
1331176
23034176
010971176
Stop Event
1×iter limit
1×node limit
Counts
27 → 752
Calls
Call 1
Inputs
(/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v))
(/ 1 (/ (+ v 1) (+ -1 (* v (* v 5)))))
(acos (/ (/ 1 (/ (+ v 1) (+ -1 (* v (* v 5))))) (- 1 v)))
(/ (+ v 1) (+ -1 (* v (* v 5))))
(/ (/ -1 (+ 1 v)) (- 1 v))
(acos (/ (/ -1 (+ 1 v)) (- 1 v)))
(/ -1 (+ 1 v))
(+ 1 v)
(- (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
(PI)
(asin (+ -1 (* v (* v 4))))
(/ (- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2)) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(* (/ (PI) 2) (/ (PI) 2))
(- (* (/ (PI) 2) (/ (PI) 2)) (pow (asin (+ -1 (* v (* v 4)))) 2))
(/ (- (/ (* (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))
(* v 5)
(* v (* v 5))
(+ -1 (* v (* v 5)))
(- 1 v)
(* v 4)
(* v (* v 4))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(* v v)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) v) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 5 binary64))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 5 binary64)))))
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (-.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)) (*.f64 v (*.f64 v #s(literal 5 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 5 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (+.f64 #s(literal 1 binary64) v))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal 5 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) v)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) (-.f64 (*.f64 v (*.f64 v #s(literal 5 binary64))) #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal 25 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) (*.f64 v v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 v v) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) v)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v))) (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 1 binary64) (*.f64 v v))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) v)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (-.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 v #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v v)))) (-.f64 (+.f64 (*.f64 v v) #s(literal 1 binary64)) v))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal -1 binary64) (*.f64 v v))) (+.f64 v #s(literal -1 binary64)))
(*.f64 v #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) v)
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 4 binary64)) v)
(*.f64 (*.f64 v v) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v))))))
(exp.f64 (log.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #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)) (neg.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 (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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal -1 binary64) (*.f64 v v))))))
(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 #s(literal -1 binary64) (*.f64 v v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 2 binary64))
(*.f64 (sqrt.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))))) (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(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 (-.f64 #s(literal 0 binary64) v) #s(literal 2 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 (-.f64 #s(literal 0 binary64) v) (-.f64 #s(literal 0 binary64) v))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))

simplify296.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2746×*-lowering-*.f32
2746×*-lowering-*.f64
2010×fma-lowering-fma.f32
2010×fma-lowering-fma.f64
1548×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02082824
16362359
216382288
353322276
082592276
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
-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
(- v 1)
(- (* v (+ 1 (* 4 v))) 1)
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(* 5 v)
(* v (- 5 (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(* 5 v)
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
-1
(- (* -1 v) 1)
(- (* v (- (* -5 v) 1)) 1)
(- (* v (- (* v (- (* -5 v) 5)) 1)) 1)
(/ 1/5 v)
(/ (+ 1/5 (* 1/5 (/ 1 v))) v)
(/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/5 (/ 1 v)))) v)
(/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (+ (* 1/5 (/ 1 v)) (* 1/25 (/ 1 (pow v 3)))))) v)
(/ 1/5 v)
(/ (+ 1/5 (* 1/5 (/ 1 v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/5 (* 1/25 (/ 1 v))) v)) 1/5) v))
(* -1 (/ (- (* -1 (/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/25 (/ 1 v)))) v)) 1/5) v))
-1
(- (* -1 (pow v 2)) 1)
(- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)
(/ 1 (pow v 2))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
(/ 1 (pow v 2))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
-1
(- v 1)
(- (* v (+ 1 (* -1 v))) 1)
(- (* v (+ 1 (* v (- v 1)))) 1)
(/ -1 v)
(/ (- (/ 1 v) 1) v)
(/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v)
(/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v)
(/ -1 v)
(* -1 (/ (- 1 (/ 1 v)) v))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))) v))
1
(+ 1 v)
(+ 1 v)
(+ 1 v)
v
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
v
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(- (* 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))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (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))))
(- (* 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 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 5 v)
(* 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))
-1
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(- (* 5 (pow v 2)) 1)
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* 5 (pow v 2))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
(* (pow v 2) (- 5 (/ 1 (pow v 2))))
1
(+ 1 (* -1 v))
(+ 1 (* -1 v))
(+ 1 (* -1 v))
(* -1 v)
(* v (- (/ 1 v) 1))
(* v (- (/ 1 v) 1))
(* v (- (/ 1 v) 1))
(* -1 v)
(* -1 (* v (- 1 (/ 1 v))))
(* -1 (* v (- 1 (/ 1 v))))
(* -1 (* v (- 1 (/ 1 v))))
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 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))
(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)))
(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
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 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 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 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 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 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 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))) (*.f64 v (*.f64 v (*.f64 v v)))) (+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v))))
-1
#s(literal -1 binary64)
(- v 1)
(+.f64 #s(literal -1 binary64) v)
(- (* v (+ 1 (* 4 v))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) v))))
(- (* v (+ 1 (* v (+ 4 (* -4 v))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 v #s(literal -4 binary64)))))))
(* 5 v)
(*.f64 v #s(literal 5 binary64))
(* v (- 5 (* 5 (/ 1 v))))
(+.f64 #s(literal -5 binary64) (*.f64 v #s(literal 5 binary64)))
(* v (- (+ 5 (/ 4 (pow v 2))) (* 5 (/ 1 v))))
(+.f64 #s(literal -5 binary64) (*.f64 v (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* v (- (+ 5 (/ 4 (pow v 2))) (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3))))))
(*.f64 v (+.f64 (/.f64 #s(literal -5 binary64) v) (+.f64 #s(literal 5 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) v) v)))))
(* 5 v)
(*.f64 v #s(literal 5 binary64))
(* -1 (* v (- (* 5 (/ 1 v)) 5)))
(+.f64 #s(literal -5 binary64) (*.f64 v #s(literal 5 binary64)))
(* -1 (* v (- (* -1 (/ (- (* 4 (/ 1 v)) 5) v)) 5)))
(+.f64 #s(literal -5 binary64) (*.f64 v (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))))
(* -1 (* v (- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 v)) 4) v)) 5) v)) 5)))
(*.f64 v (+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -4 binary64) v)) v)) v)))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
(acos (/ (- (* 5 (pow v 2)) 1) (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v))))
-1
#s(literal -1 binary64)
(- (* -1 v) 1)
(-.f64 #s(literal -1 binary64) v)
(- (* v (- (* -5 v) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal -1 binary64) (*.f64 v #s(literal -5 binary64)))))
(- (* v (- (* v (- (* -5 v) 5)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 #s(literal -5 binary64) (+.f64 v #s(literal 1 binary64)))))))
(/ 1/5 v)
(/.f64 #s(literal 1/5 binary64) v)
(/ (+ 1/5 (* 1/5 (/ 1 v))) v)
(/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/5 binary64) v)) v)
(/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/5 (/ 1 v)))) v)
(/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) v) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/25 binary64) (*.f64 v v)))) v)
(/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (+ (* 1/5 (/ 1 v)) (* 1/25 (/ 1 (pow v 3)))))) v)
(/.f64 (+.f64 #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/25 binary64) (*.f64 v v)) (+.f64 (/.f64 #s(literal 1/5 binary64) v) (/.f64 #s(literal 1/25 binary64) (*.f64 v (*.f64 v v)))))) v)
(/ 1/5 v)
(/.f64 #s(literal 1/5 binary64) v)
(/ (+ 1/5 (* 1/5 (/ 1 v))) v)
(/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/5 binary64) v)) v)
(* -1 (/ (- (* -1 (/ (+ 1/5 (* 1/25 (/ 1 v))) v)) 1/5) v))
(/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/25 binary64) v)) v)) v)
(* -1 (/ (- (* -1 (/ (+ 1/5 (+ (/ 1/25 (pow v 2)) (* 1/25 (/ 1 v)))) v)) 1/5) v))
(/.f64 (+.f64 #s(literal 1/5 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/25 binary64) v) (+.f64 #s(literal 1/5 binary64) (/.f64 #s(literal 1/25 binary64) (*.f64 v v)))) v)) v)
-1
#s(literal -1 binary64)
(- (* -1 (pow v 2)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 v v))
(- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal -1 binary64) (*.f64 v v))))
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (-.f64 #s(literal -1 binary64) (*.f64 v v)))))))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v v))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 v v))
(/ 1 (pow v 2))
(/.f64 #s(literal 1 binary64) (*.f64 v v))
(/ (+ 1 (/ 1 (pow v 2))) (pow v 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))
(/ (+ 1 (+ (/ 1 (pow v 2)) (/ 1 (pow v 4)))) (pow v 2))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (*.f64 v v))
(/ (+ 1 (+ (/ 1 (pow v 2)) (+ (/ 1 (pow v 4)) (/ 1 (pow v 6))))) (pow v 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))) (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))))) (*.f64 v v))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 v) (- 1 v))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(acos (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(acos.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
-1
#s(literal -1 binary64)
(- v 1)
(+.f64 #s(literal -1 binary64) v)
(- (* v (+ 1 (* -1 v))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (-.f64 #s(literal 1 binary64) v)))
(- (* v (+ 1 (* v (- v 1)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 v (+.f64 #s(literal 1 binary64) (*.f64 v (+.f64 #s(literal -1 binary64) v)))))
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(/ (- (/ 1 v) 1) v)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v)) v)
(/ (- (/ 1 v) (+ 1 (/ 1 (pow v 2)))) v)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) v)) v)
(/ (- (+ (/ 1 v) (/ 1 (pow v 3))) (+ 1 (/ 1 (pow v 2)))) v)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) v) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) v))) v)
(/ -1 v)
(/.f64 #s(literal -1 binary64) v)
(* -1 (/ (- 1 (/ 1 v)) v))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v)) v)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) v)) v)) v)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 v)) v))) v))) v))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) v)) v)) v)) v)
1
#s(literal 1 binary64)
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
v
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
v
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
(* v (+ 1 (/ 1 v)))
(+.f64 v #s(literal 1 binary64))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
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(- (* 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))
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(* 4 v)
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(* 4 v)
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(* 4 v)
(*.f64 #s(literal 4 binary64) v)
(* 4 v)
(*.f64 #s(literal 4 binary64) v)
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(*.f64 #s(literal 4 binary64) v)
(* 4 v)
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(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
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(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 (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
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(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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(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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(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
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(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(pow v 2)
(*.f64 v v)
(pow v 2)
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(pow v 2)
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(pow v 2)
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(pow v 2)
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(pow v 2)
(*.f64 v v)
(pow v 2)
(*.f64 v v)
(pow v 2)
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(pow v 2)
(*.f64 v v)
(pow v 2)
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(pow v 2)
(*.f64 v v)

eval255.0ms (1.7%)

Compiler

Compiled 53842 to 3865 computations (92.8% saved)

prune165.0ms (1.1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New162491633
Fresh101
Picked145
Done033
Total1626161642
Accuracy
99.3%
Counts
1642 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶4.9%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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))))))
▶2.4%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
4.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))))
▶0.2%
(/.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 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
✓1.8%
(/.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))))))
1.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
2.4%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64))))
▶99.0%
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓99.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
1.8%
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
▶99.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64)))
✓99.1%
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
✓97.3%
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓99.1%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓98.4%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1022 to 480 computations (53% saved)

simplify294.0ms (1.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64)))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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 (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 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #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 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓cost-diff0
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
✓cost-diff256
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64))
✓cost-diff12800
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64))
✓cost-diff0
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓cost-diff6656
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
Rules
3938×*-lowering-*.f32
3938×*-lowering-*.f64
3392×+-lowering-+.f64
3392×+-lowering-+.f32
1472×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068822
1163724
2368716
31039716
43460702
08240702
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (/ (cbrt (* (PI) (* (PI) (PI)))) 2) (asin (+ -1 (* v (* v 4)))))
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
2
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
(exp (* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1))
(* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)
(log (/ 1 (acos (+ -1 (* v (* v 4))))))
(/ 1 (acos (+ -1 (* v (* v 4)))))
1
(acos (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(PI)
4
(pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2)
(asin (/ (/ -1 (+ 1 v)) (- 1 v)))
(/ (/ -1 (+ 1 v)) (- 1 v))
(/ -1 (+ 1 v))
-1
(+ 1 v)
1
v
(- 1 v)
2
(+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v))))
(/ (PI) 2)
(/ (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
(* (PI) (PI))
(PI)
16
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))
(+ 1 (* v (* v -5)))
1
(* v (* v -5))
v
(* v -5)
-5
(+ -1 (* v v))
-1
(* v v)
4
(+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))
(/ (* (PI) (PI)) 4)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)
2
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(/ (PI) 2)
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(+ 1 (* (* v v) -5))
(* (* v v) -5)
(+ (* v v) -1)
(/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(/ (* (PI) (* (PI) (PI))) 64)
64
(pow (asin (+ -1 (* v (* v 4)))) 6)
(asin (+ -1 (* v (* v 4))))
(+ -1 (* v (* v 4)))
-1
(* v (* v 4))
v
(* v 4)
4
6
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(* (* (PI) (PI)) (* (PI) (PI)))
16
(pow (asin (+ -1 (* v (* v 4)))) 4)
(pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)
(* (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/ (PI) 2)
2
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
Outputs
(- (/ (cbrt (* (PI) (* (PI) (PI)))) 2) (asin (+ -1 (* v (* v 4)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(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))
2
#s(literal 2 binary64)
(asin (+ -1 (* v (* v 4))))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(exp (* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)
(log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(log (/ 1 (acos (+ -1 (* v (* v 4))))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(/ 1 (acos (+ -1 (* v (* v 4)))))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
1
#s(literal 1 binary64)
(acos (+ -1 (* v (* v 4))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #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 (+ 1 v)) (- 1 v))) 2)
(pow.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) #s(literal 2 binary64))
(asin (/ (/ -1 (+ 1 v)) (- 1 v)))
(asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v)))))
(/ (/ -1 (+ 1 v)) (- 1 v))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ -1 (+ 1 v))
(/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(+ 1 v)
(+.f64 v #s(literal 1 binary64))
1
#s(literal 1 binary64)
v
(- 1 v)
(-.f64 #s(literal 1 binary64) v)
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v))))
(+.f64 (asin.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(/ (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.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)))))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
16
#s(literal 16 binary64)
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #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 -5)
(*.f64 v #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(+ -1 (* v v))
(+.f64 #s(literal -1 binary64) (*.f64 v v))
-1
#s(literal -1 binary64)
(* v v)
(*.f64 v v)
4
#s(literal 4 binary64)
(+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)))
(/ (* (PI) (PI)) 4)
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)
(pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))))
(+.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)))))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(/ (+ 1 (* (* v v) -5)) (+ (* v v) -1))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))
(+ 1 (* (* v v) -5))
(+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64))))
(* (* v v) -5)
(*.f64 v (*.f64 v #s(literal -5 binary64)))
(+ (* v v) -1)
(+.f64 #s(literal -1 binary64) (*.f64 v v))
(/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (PI.f64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (+.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (PI.f64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64))))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ (* (PI) (* (PI) (PI))) 64)
(/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))
64
#s(literal 64 binary64)
(pow (asin (+ -1 (* v (* v 4)))) 6)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64))
(asin (+ -1 (* v (* v 4))))
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+ -1 (* v (* v 4)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))
-1
#s(literal -1 binary64)
(* v (* v 4))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
v
(* v 4)
(*.f64 v #s(literal 4 binary64))
4
#s(literal 4 binary64)
6
#s(literal 6 binary64)
(+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))
(+.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (PI.f64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4))
(+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64)))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))))
(* (* (PI) (PI)) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
16
#s(literal 16 binary64)
(pow (asin (+ -1 (* v (* v 4)))) 4)
(pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))
(pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 2 binary64)) #s(literal 2 binary64))
(* (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(/.f64 (*.f64 (PI.f64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 2 binary64))
(/ (PI) 2)
(/.f64 (PI.f64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ (PI) 2) (asin (+ -1 (* v (* v 4)))))
(+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))

localize1.1s (7.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v (*.f64 v #s(literal 4 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 v #s(literal -5 binary64))
✓accuracy100.0%
(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%
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) v)
✓accuracy100.0%
(*.f64 (PI.f64) (PI.f64))
✓accuracy100.0%
(asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓accuracy3.1%
(PI.f64)
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
✓accuracy100.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64)))
✓accuracy100.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
✓accuracy100.0%
(asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))
✓accuracy3.1%
(PI.f64)
Results
443.0ms147×1invalid
422.0ms100×2invalid
44.0ms9×0invalid
Compiler

Compiled 960 to 69 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 477.0ms
ival-pow: 91.0ms (19.1% of total)
backward-pass: 86.0ms (18% of total)
ival-div: 70.0ms (14.7% of total)
ival-add: 59.0ms (12.4% of total)
ival-mult: 57.0ms (12% of total)
ival-asin: 51.0ms (10.7% of total)
ival-sub: 18.0ms (3.8% of total)
ival-acos: 11.0ms (2.3% of total)
ival-log: 11.0ms (2.3% of total)
ival-exp: 10.0ms (2.1% of total)
ival-cbrt: 6.0ms (1.3% of total)
ival-pi: 4.0ms (0.8% of total)
const: 3.0ms (0.6% of total)

series108.0ms (0.7%)

Counts
30 → 264
Calls
Call 1
Inputs
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (- (/ (cbrt (* (PI) (* (PI) (PI)))) 2) (asin (+ -1 (* v (* v 4)))))>
#<alt (/ (cbrt (* (PI) (* (PI) (PI)))) 2)>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (exp (* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1))>
#<alt (* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)>
#<alt (log (/ 1 (acos (+ -1 (* v (* v 4))))))>
#<alt (/ 1 (acos (+ -1 (* v (* v 4)))))>
#<alt (/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v)))))>
#<alt (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2))>
#<alt (/ (* (PI) (PI)) 4)>
#<alt (* (PI) (PI))>
#<alt (/ (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))>
#<alt (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)))>
#<alt (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4))>
#<alt (/ (* (* (PI) (PI)) (* (PI) (PI))) 16)>
#<alt (/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))>
#<alt (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)))>
#<alt (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6))>
#<alt (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))>
#<alt (PI)>
#<alt (asin (+ -1 (* v (* v 4))))>
#<alt (* v 4)>
#<alt (acos (+ -1 (* v (* v 4))))>
#<alt (asin (/ (/ -1 (+ 1 v)) (- 1 v)))>
#<alt (+ 1 v)>
#<alt (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))>
#<alt (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))>
#<alt (* v -5)>
#<alt (* v (* v 4))>
Outputs
#<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 (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 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (log (/ 1 (acos (- (* 4 (pow v 2)) 1))))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ 1 (acos (- (* 4 (pow v 2)) 1)))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
#<alt (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))>
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#<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 (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<alt (* -5 v)>
#<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))>
Calls

66 calls:

TimeVariablePointExpression
47.0ms
v
@inf
(* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)
34.0ms
v
@0
(* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)
6.0ms
v
@0
(/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
3.0ms
v
@inf
(/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
2.0ms
v
@0
(/ (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))

rewrite449.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
3368×*-lowering-*.f32
3368×*-lowering-*.f64
2014×/-lowering-/.f32
2014×/-lowering-/.f64
1698×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068369
1527216
24523214
08267214
Stop Event
1×iter limit
1×node limit
Counts
30 → 931
Calls
Call 1
Inputs
(cbrt (* (PI) (* (PI) (PI))))
(- (/ (cbrt (* (PI) (* (PI) (PI)))) 2) (asin (+ -1 (* v (* v 4)))))
(/ (cbrt (* (PI) (* (PI) (PI)))) 2)
(* (PI) (* (PI) (PI)))
(exp (* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1))
(* (log (/ 1 (acos (+ -1 (* v (* v 4)))))) -1)
(log (/ 1 (acos (+ -1 (* v (* v 4))))))
(/ 1 (acos (+ -1 (* v (* v 4)))))
(/ (- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2)) (+ (/ (PI) 2) (asin (/ (/ -1 (+ 1 v)) (- 1 v)))))
(- (/ (* (PI) (PI)) 4) (pow (asin (/ (/ -1 (+ 1 v)) (- 1 v))) 2))
(/ (* (PI) (PI)) 4)
(* (PI) (PI))
(/ (/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2))) (+ (/ (PI) 2) (asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))))
(/ (- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4)) (+ (/ (* (PI) (PI)) 4) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 2)))
(- (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v)))) 4))
(/ (* (* (PI) (PI)) (* (PI) (PI))) 16)
(/ (/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2))) (+ (/ (PI) 2) (asin (+ -1 (* v (* v 4))))))
(/ (- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6)) (+ (+ (/ (* (* (PI) (PI)) (* (PI) (PI))) 16) (pow (asin (+ -1 (* v (* v 4)))) 4)) (pow (* (/ (PI) 2) (asin (+ -1 (* v (* v 4))))) 2)))
(- (* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64)) (pow (asin (+ -1 (* v (* v 4)))) 6))
(* (* (PI) (* (PI) (PI))) (/ (* (PI) (* (PI) (PI))) 64))
(PI)
(asin (+ -1 (* v (* v 4))))
(* v 4)
(acos (+ -1 (* v (* v 4))))
(asin (/ (/ -1 (+ 1 v)) (- 1 v)))
(+ 1 v)
(asin (/ (+ 1 (* v (* v -5))) (+ -1 (* v v))))
(asin (/ (+ 1 (* (* v v) -5)) (+ (* v v) -1)))
(* v -5)
(* v (* v 4))
Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (PI.f64))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/6 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (log.f64 (exp.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(+.f64 (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (/.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 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(exp.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))
(-.f64 (/.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.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 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))))
(/.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal -1 binary64))
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(/.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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #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)) (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 (/.f64 (PI.f64) #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))))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(pow.f64 (pow.f64 (asin.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)) #s(literal 1/2 binary64))
(pow.f64 (asin.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 (sqrt.f64 (asin.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 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (sqrt.f64 (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 (PI.f64) #s(literal 2 binary64)) (neg.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))))))
(exp.f64 (*.f64 (log.f64 (asin.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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.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)) #s(literal 1 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 #s(literal -1 binary64) (*.f64 v v)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.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))))))
(neg.f64 (asin.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 (asin.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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) (*.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 #s(literal -1 binary64) (*.f64 v v)))) #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 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #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)) (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 (/.f64 (PI.f64) #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))))))
(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))
(pow.f64 (pow.f64 (asin.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)) #s(literal 1/2 binary64))
(pow.f64 (asin.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 (sqrt.f64 (asin.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 (sqrt.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) (*.f64 v v))) (+.f64 #s(literal -1 binary64) (*.f64 v v))))) (sqrt.f64 (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 v #s(literal -5 binary64))
(*.f64 #s(literal -5 binary64) v)
(*.f64 v (*.f64 v #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 (*.f64 v #s(literal 4 binary64)) v)
(*.f64 (*.f64 v v) #s(literal 4 binary64))

simplify341.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3112×*-lowering-*.f32
3112×*-lowering-*.f64
1952×sum3-define
1692×sum5-define
1334×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0904782
12694098
26104074
317663978
466553978
080813978
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(- (* 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)))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2)) (+ (asin (/ -1 (* (+ 1 v) (- 1 v)))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2)) (+ (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 v) (- 1 v)))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v))))) 2))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (* (+ (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))))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(/ (- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4)) (+ (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 4))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (* (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4)))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(/ (- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6)) (+ (* 1/16 (pow (PI) 4)) (+ (* 1/4 (* (pow (PI) 2) (pow (asin (- (* 4 (pow v 2)) 1)) 2))) (pow (asin (- (* 4 (pow v 2)) 1)) 4))))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(- (* 1/64 (pow (PI) 6)) (pow (asin (- (* 4 (pow v 2)) 1)) 6))
(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))
(* 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 (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 v) (- 1 v))))
(asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
(asin (/ -1 (* (+ 1 (* -1 v)) (- 1 (* -1 v)))))
1
(+ 1 v)
(+ 1 v)
(+ 1 v)
v
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
v
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(* v (+ 1 (/ 1 v)))
(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)))
(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)))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* 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))
Outputs
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(* -1 (log (/ 1 (acos (- (* 4 (pow v 2)) 1)))))
(log.f64 (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(log (/ 1 (acos (- (* 4 (pow v 2)) 1))))
(log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64)))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
(/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal -1 binary64))))
(/ 1 (acos (- (* 4 (pow v 2)) 1)))
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(asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 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 v (*.f64 v #s(literal -5 binary64)))) (+.f64 (*.f64 v v) #s(literal -1 binary64))))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* -5 v)
(*.f64 v #s(literal -5 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))

eval603.0ms (3.9%)

Compiler

Compiled 161645 to 8311 computations (94.9% saved)

prune412.0ms (2.7%)

Pruning

33 alts after pruning (22 fresh and 11 done)

PrunedKeptTotal
New2729182747
Fresh044
Picked145
Done077
Total2730332763
Accuracy
99.3%
Counts
2763 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.0%
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
0.9%
(/.f64 (fma.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
2.4%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 12 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
1.8%
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (pow.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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.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 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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))))))
1.8%
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.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 4 binary64)))) (/.f64 (pow.f64 (asin.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 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.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 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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))))))
4.9%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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 #s(literal -1 binary64) (*.f64 v v))))) #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))))))
✓4.9%
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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))))))
4.7%
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
2.4%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
1.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
1.7%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
✓2.4%
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
1.7%
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
0.9%
(/.f64 (/.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
4.7%
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))))
✓0.2%
(/.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 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
✓1.8%
(/.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))))))
1.7%
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
2.4%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64))))
1.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) #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 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
99.0%
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
✓99.0%
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
✓99.0%
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
1.8%
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
1.7%
(exp.f64 (-.f64 (log.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 12 binary64)))) (log.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))))))
99.0%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))) #s(literal -1 binary64)))
✓99.1%
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
✓97.3%
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
✓99.0%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
✓99.1%
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
✓98.4%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 3861 to 1094 computations (71.7% saved)

regimes47.0ms (0.3%)

Counts
39 → 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))))
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (/.f64 (+.f64 (*.f64 #s(literal 5 binary64) (*.f64 v v)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
(acos.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) v)))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))))) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) (/.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))))) #s(literal -1/2 binary64))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 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 1 binary64) v)) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) 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 (/.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 (PI.f64) (/.f64 (PI.f64) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(/.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 (exp.f64 (*.f64 (log.f64 (/.f64 #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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) #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 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 2 binary64)))))
(-.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.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 #s(literal -1 binary64) (*.f64 v v))))) #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 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64)) (pow.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (-.f64 (asin.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 64 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (/.f64 #s(literal 1 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 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64))))
(/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (pow.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 #s(literal -1 binary64) (*.f64 v v)))) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.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 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 v #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))))
(/.f64 (/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 12 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 256 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.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 4 binary64)))) (/.f64 (pow.f64 (asin.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 8 binary64)) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.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 4 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 #s(literal -1 binary64) (*.f64 v v)))) #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 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 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 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 64 binary64))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64))))) #s(literal 4 binary64))) (pow.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v #s(literal 4 binary64)))))))
(exp.f64 (-.f64 (log.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) #s(literal 4096 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 12 binary64)))) (log.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 16 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 4 binary64))) (pow.f64 (/.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (/.f64 #s(literal 64 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) (*.f64 v v)))) #s(literal 6 binary64)))))))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
Calls

4 calls:

14.0ms
(*.f64 v v)
12.0ms
v
9.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
9.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.2%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)

regimes11.0ms (0.1%)

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

4 calls:

4.0ms
v
3.0ms
(*.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
99.1%1v
99.1%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))))
99.1%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.1%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes4.0ms (0%)

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))))
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
(-.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 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.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
99.0%1v
99.0%1(*.f64 v v)
Compiler

Compiled 6 to 3 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 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))))
(acos.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) v)) (-.f64 #s(literal 1 binary64) v)))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
Calls

2 calls:

2.0ms
v
1.0ms
(*.f64 v v)
Results
AccuracySegmentsBranch
99.0%1v
99.0%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
98.4%1v
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×*-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02556
13956
24356
34556
44656
Stop Event
1×saturated
Calls
Call 1
Inputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 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))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))
Outputs
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) (+.f64 #s(literal 4 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64)))))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 v (*.f64 v (+.f64 #s(literal 4 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))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 v v) #s(literal 4 binary64))))
(acos.f64 #s(literal -1 binary64))

soundness776.0ms (5.1%)

Rules
3288×*-lowering-*.f32
3288×*-lowering-*.f64
3130×*-lowering-*.f32
3130×*-lowering-*.f64
3070×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026153
1176137
21570137
08234137
037461
1108356
2307354
3844354
42205353
56341353
08362353
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 127 to 75 computations (40.9% saved)

preprocess38.0ms (0.3%)

Remove

(abs v)

Compiler

Compiled 186 to 92 computations (50.5% saved)

end0.0ms (0%)

Profiling

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