Falkner and Boettcher, Appendix B, 1

Time bar (total: 15.5s)

analyze360.0ms (2.3%)

Memory
6.8MiB live, 607.9MiB allocated
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 11 computations (31.3% saved)

sample4.0s (25.9%)

Memory
-84.8MiB live, 4 986.0MiB allocated
Samples
1.3s3 707×3valid
748.0ms2 077×2valid
660.0ms8 093×0invalid
503.0ms2 165×1valid
22.0ms307×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
adjust: 809.0ms (31.1% of total)
ival-acos: 570.0ms (21.9% of total)
ival-sub: 421.0ms (16.2% of total)
ival-div: 389.0ms (14.9% of total)
ival-mult: 379.0ms (14.5% of total)
exact: 15.0ms (0.6% of total)
ival-true: 14.0ms (0.5% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

preprocess492.0ms (3.2%)

Memory
9.2MiB live, 375.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 668×lower-fma.f64
8 668×lower-fma.f32
2 288×lower-*.f32
2 284×lower-*.f64
2 140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
14029
212829
347629
4206029
5407529
6498129
7530929
8699129
0914
01514
13514
28014
320614
458414
5124314
6250114
7390714
8572114
9741914
10797614
0808012
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Symmetry

(abs v)

explain408.0ms (2.6%)

Memory
-3.0MiB live, 392.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
11242(1.8702003156214866e-260)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 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
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-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2530
Confusion
Predicted +Predicted -
+110
-2423
Precision
0.043478260869565216
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1100
-24203
Precision?
0.043478260869565216
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
161.0ms266×3valid
23.0ms146×1valid
19.0ms84×2valid
1.0ms16×0valid
Compiler

Compiled 134 to 40 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-acos: 77.0ms (49.1% of total)
ival-mult: 25.0ms (15.9% of total)
adjust: 24.0ms (15.3% of total)
ival-sub: 16.0ms (10.2% of total)
ival-div: 13.0ms (8.3% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify274.0ms (1.8%)

Memory
-7.3MiB live, 472.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))))
✓cost-diff128
(-.f64 (*.f64 v v) #s(literal 1 binary64))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Rules
8 668×lower-fma.f64
8 668×lower-fma.f32
2 288×lower-*.f32
2 284×lower-*.f64
2 140×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0950
01550
13550
28050
320650
458450
5124350
6250150
7390750
8572150
9741950
10797650
0808044
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))

localize90.0ms (0.6%)

Memory
14.8MiB live, 130.5MiB allocated
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)))
✓accuracy99.8%
(*.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))))
Samples
42.0ms133×3valid
11.0ms73×1valid
9.0ms42×2valid
1.0ms8×0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-acos: 14.0ms (30% of total)
adjust: 11.0ms (23.6% of total)
ival-sub: 8.0ms (17.2% of total)
ival-mult: 7.0ms (15% of total)
ival-div: 6.0ms (12.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 5 binary64) (*.f64 v v))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))>
#<alt (*.f64 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 (* 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 (- (* 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 (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

12 calls:

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

rewrite349.0ms (2.2%)

Memory
-19.9MiB live, 488.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 956×lower-fma.f64
4 956×lower-fma.f32
4 584×lower-*.f32
4 580×lower-*.f64
3 506×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
01535
17035
253035
3682835
0801231
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 386
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(*.f64 v v)
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 v v #s(literal -1 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
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(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 v v (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal -1 binary64)))) (fma.f64 v (neg.f64 v) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (*.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (-.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v (*.f64 v (*.f64 v v)))) #s(literal -125 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64))) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 25 binary64) #s(literal 5 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) #s(literal -25 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (fma.f64 (*.f64 v (*.f64 v (*.f64 v v))) (*.f64 (*.f64 v v) #s(literal 125 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 v v) (-.f64 (*.f64 (*.f64 v v) #s(literal 25 binary64)) #s(literal 5 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v))
(*.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v (*.f64 v v) #s(literal -1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 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)))

simplify260.0ms (1.7%)

Memory
-16.5MiB live, 414.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 306×lower-fma.f64
9 306×lower-fma.f32
3 314×lower-*.f64
3 314×lower-*.f32
1 390×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033390
189384
2236380
3593380
41508378
53634378
66488378
08129349
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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)))
(* 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
(- (* 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)))))
(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 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 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))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) (fma.f64 v (fma.f64 v (*.f64 v 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 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal -5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal -4 binary64)) #s(literal -5 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 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal -5 binary64))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)) #s(literal -4 binary64)) #s(literal -5 binary64))
(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)

eval85.0ms (0.5%)

Memory
27.9MiB live, 136.0MiB allocated
Compiler

Compiled 13 339 to 1 298 computations (90.3% saved)

prune52.0ms (0.3%)

Memory
19.3MiB live, 140.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4486454
Fresh000
Picked101
Done000
Total4496455
Accuracy
99.2%
Counts
455 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
▶98.4%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
▶99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.5%
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
▶99.2%
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
▶97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 136 to 94 computations (30.9% saved)

simplify457.0ms (2.9%)

Memory
-8.0MiB live, 518.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 v #s(literal -5 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓cost-diff0
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓cost-diff320
(*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
✓cost-diff0
(*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
✓cost-diff0
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
✓cost-diff0
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓cost-diff0
(*.f64 v #s(literal 4 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓cost-diff0
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(acos.f64 #s(literal -1 binary64))
✓cost-diff0
(*.f64 v #s(literal -5 binary64))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓cost-diff0
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Rules
12 370×lower-fma.f32
12 360×lower-fma.f64
3 602×lower-*.f32
3 594×lower-*.f64
2 062×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021155
041151
168151
2115148
3227148
4440148
5948148
61229148
71527148
83831148
96362148
08221146
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
v
(*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(acos.f64 (fma.f64 (*.f64 v #s(literal 4 binary64)) (fma.f64 v (*.f64 v v) v) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (*.f64 v #s(literal 4 binary64)) (fma.f64 v (*.f64 v v) v) #s(literal -1 binary64))
v
(*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 4 binary64) (fma.f64 v (*.f64 v v) v))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)

localize306.0ms (2%)

Memory
12.9MiB live, 400.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 v #s(literal -5 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
✓accuracy99.2%
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓accuracy100.0%
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy100.0%
(*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
✓accuracy99.2%
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓accuracy100.0%
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 v #s(literal 4 binary64))
✓accuracy99.2%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(acos.f64 #s(literal -1 binary64))
✓accuracy100.0%
(fma.f64 v v #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 v #s(literal -5 binary64))
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
✓accuracy99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Samples
139.0ms134×3valid
88.0ms41×2valid
30.0ms73×1valid
2.0ms8×0valid
Compiler

Compiled 178 to 27 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-acos: 71.0ms (39.6% of total)
adjust: 32.0ms (17.8% of total)
ival-div: 32.0ms (17.8% of total)
ival-mult: 25.0ms (13.9% of total)
ival-add: 18.0ms (10% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-43.4MiB live, 11.6MiB allocated
Counts
14 → 156
Calls
Call 1
Inputs
#<alt (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))>
#<alt (*.f64 v #s(literal -5 binary64))>
#<alt (fma.f64 v v #s(literal -1 binary64))>
#<alt (acos.f64 #s(literal -1 binary64))>
#<alt (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (*.f64 v #s(literal 4 binary64))>
#<alt (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))>
#<alt (acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))>
#<alt (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))>
#<alt (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))>
#<alt (acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))>
#<alt (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))>
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 (* -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 -1>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (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 (* 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 -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 (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 (* 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 4>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (+ 4 (* 4 (pow v 2)))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* 4 (pow v 2))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<alt (* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))>
#<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 (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))>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
v
@-inf
(* v 4)
0.0ms
v
@inf
(* v -5)
0.0ms
v
@inf
(* v (+ (* v (* v 4)) 4))
0.0ms
v
@inf
(* v 4)
0.0ms
v
@0
(* v (+ (* v (* v 4)) 4))

rewrite427.0ms (2.7%)

Memory
-13.6MiB live, 676.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 630×lower-fma.f32
8 620×lower-fma.f64
5 014×lower-*.f32
5 006×lower-*.f64
3 864×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021107
041103
1150103
21006101
08786101
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 866
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 v #s(literal -5 binary64))
(fma.f64 v v #s(literal -1 binary64))
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 v #s(literal 4 binary64))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (*.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
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(*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 v #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)) #s(literal -1 binary64))) (-.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 (*.f64 v v))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 v (*.f64 v v)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 v (*.f64 v (*.f64 v v)) #s(literal 1 binary64)) (neg.f64 (*.f64 v v)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal -1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 v v) (*.f64 v v) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1/2 binary64)))

simplify413.0ms (2.7%)

Memory
27.3MiB live, 697.5MiB allocated
Algorithm
1×egg-herbie
Rules
15 990×lower-fma.f64
15 990×lower-fma.f32
4 022×lower-*.f64
4 022×lower-*.f32
2 350×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0741367
11811355
24441299
310421294
436341290
570241290
081181167
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
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)))))
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
(* -5 v)
-1
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (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))
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
(* 4 v)
-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))))
(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))
(* 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)))))
4
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(+ 4 (* 4 (pow v 2)))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* 4 (pow v 2))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(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 (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))
Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 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 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.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)) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.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)) #s(literal -5 binary64))
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 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))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 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))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos (- (+ (* 4 (pow v 2)) (* 4 (pow v 4))) 1))
(acos.f64 (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(* 4 v)
(*.f64 v #s(literal 4 binary64))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* v (+ 4 (* 4 (pow v 2))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* 4 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* 4 (pow v 3))
(*.f64 v (*.f64 (*.f64 v v) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
(* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2)))))
(*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 4 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* 4 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(+ 4 (* 4 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* 4 (pow v 2))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(* (pow v 2) (+ 4 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 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 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.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)) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.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)) #s(literal -5 binary64))
-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)
(fma.f64 (*.f64 v v) (-.f64 #s(literal -1 binary64) (*.f64 v v)) #s(literal -1 binary64))
(- (* (pow v 2) (- (* (pow v 2) (- (* -1 (pow v 2)) 1)) 1)) 1)
(*.f64 (fma.f64 v v #s(literal 1 binary64)) (fma.f64 (*.f64 v v) (*.f64 v (neg.f64 v)) #s(literal -1 binary64)))
(/ 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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v))))))) (*.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 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.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 (/.f64 #s(literal 1 binary64) (*.f64 v v)) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v v)))))) (/.f64 #s(literal 1 binary64) (*.f64 v (*.f64 v (*.f64 v (*.f64 v (*.f64 v v))))))) (*.f64 v v))

eval295.0ms (1.9%)

Memory
19.6MiB live, 285.2MiB allocated
Compiler

Compiled 30 755 to 2 511 computations (91.8% saved)

prune121.0ms (0.8%)

Memory
2.6MiB live, 200.5MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 15141 155
Fresh101
Picked055
Done000
Total1 15291 161
Accuracy
99.2%
Counts
1 161 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶1.3%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶1.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
✓98.5%
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓98.4%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
▶99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
✓99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 137 to 90 computations (34.3% saved)

simplify315.0ms (2%)

Memory
-0.3MiB live, 443.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
✓cost-diff0
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))
✓cost-diff0
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
✓cost-diff384
(fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))
Rules
11 088×lower-fma.f32
11 078×lower-fma.f64
3 046×lower-+.f32
3 044×lower-+.f64
2 504×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028306
052308
185305
2138301
3293295
4589295
51314295
64157295
75982295
08160292
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))
(+.f64 v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))
v
(*.f64 v #s(literal -5 binary64))
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
(+.f64 v #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(PI.f64)
#s(literal 1/2 binary64)
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)

localize381.0ms (2.4%)

Memory
-9.6MiB live, 505.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(PI.f64)
✓accuracy100.0%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓accuracy99.1%
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy99.4%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓accuracy99.1%
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy8.7%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy8.6%
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓accuracy99.4%
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓accuracy99.1%
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy8.7%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy8.6%
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 v #s(literal -5 binary64))
✓accuracy100.0%
(fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))
✓accuracy100.0%
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))
✓accuracy99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
Samples
221.0ms133×3valid
38.0ms75×1valid
27.0ms42×2valid
1.0ms6×0valid
Compiler

Compiled 340 to 34 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-mult: 68.0ms (28.9% of total)
ival-add: 63.0ms (26.8% of total)
adjust: 31.0ms (13.2% of total)
ival-asin: 17.0ms (7.2% of total)
ival-acos: 15.0ms (6.4% of total)
ival-div: 14.0ms (5.9% of total)
ival-sub: 9.0ms (3.8% of total)
ival-pi: 8.0ms (3.4% of total)
ival-pow2: 6.0ms (2.5% of total)
ival-neg: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
12 → 132
Calls
Call 1
Inputs
#<alt (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))>
#<alt (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))>
#<alt (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))>
#<alt (*.f64 v #s(literal -5 binary64))>
#<alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (PI.f64)>
#<alt (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
Outputs
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))>
#<alt (acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 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 (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (- (pow v 2) 1)>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (pow v 2)>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 2))))>
#<alt (* (pow v 2) (- 1 (/ 1 (pow v 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 (- (* 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 (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<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 (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))>
#<alt (/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 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)) (+ (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 (- (* 1/2 (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 (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
#<alt (* -1 (asin (- (* 4 (pow v 2)) 1)))>
Calls

33 calls:

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

rewrite507.0ms (3.3%)

Memory
-2.4MiB live, 1 035.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 412×lower-fma.f32
5 402×lower-fma.f64
5 156×lower-*.f32
5 148×lower-*.f64
4 648×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027146
050161
1201103
21613103
08807103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 016
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64))))
(fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))
(*.f64 v #s(literal -5 binary64))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(PI.f64)
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))) (/.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))
(/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))) (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64)) (*.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))))))
(/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64) #s(literal 1 binary64)) (*.f64 v (*.f64 v #s(literal -5 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 v (*.f64 v v)) (*.f64 (*.f64 v (*.f64 v v)) #s(literal -125 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 v v) (*.f64 v v)) #s(literal 25 binary64) #s(literal 1 binary64)) (*.f64 v (*.f64 v #s(literal -5 binary64)))) (*.f64 (+.f64 v #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64)))))
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(*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(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 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(fabs.f64 (PI.f64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.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 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.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 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 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)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))

simplify346.0ms (2.2%)

Memory
-26.7MiB live, 617.2MiB allocated
Algorithm
1×egg-herbie
Rules
14 114×lower-fma.f64
14 114×lower-fma.f32
3 758×lower-*.f64
3 758×lower-*.f32
3 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0581810
11381804
23291752
37871752
420971750
571351750
082201568
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-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
(- (pow v 2) 1)
(- (pow v 2) 1)
(- (pow v 2) 1)
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(pow v 2)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(* (pow v 2) (- 1 (/ 1 (pow v 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)
(- (* 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))
(+ (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)) (* 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)) (* 1/2 (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)) (+ (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))))
(- (* 1/2 (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)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
Outputs
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (+ v (* v (- v 1))) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal -1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(fma.f64 v (*.f64 v (fma.f64 (*.f64 v v) (fma.f64 (*.f64 v v) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 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 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(+.f64 #s(literal -5 binary64) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal -4 binary64)) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) (*.f64 v v))) #s(literal -5 binary64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(pow v 2)
(*.f64 v v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(fma.f64 v v #s(literal -1 binary64))
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(asin (- (* 4 (pow v 2)) 1))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))) (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)))
(/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(- (* 1/2 (PI)) (asin (- (* 4 (pow v 2)) 1)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(* -1 (asin (- (* 4 (pow v 2)) 1)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))

eval335.0ms (2.2%)

Memory
37.6MiB live, 528.3MiB allocated
Compiler

Compiled 104 981 to 4 815 computations (95.4% saved)

prune404.0ms (2.6%)

Memory
-17.6MiB live, 466.2MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New2 00982 017
Fresh000
Picked044
Done055
Total2 009172 026
Accuracy
99.3%
Counts
2 026 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.9%
(fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
95.4%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓98.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶2.0%
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶4.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
2.0%
(/.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓1.3%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
▶4.4%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓1.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
▶98.4%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
▶1.3%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
✓98.5%
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓98.4%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
✓99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 955 to 410 computations (57.1% saved)

simplify578.0ms (3.7%)

Memory
-11.5MiB live, 486.5MiB allocated
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 1/64 binary64)))
✓cost-diff0
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 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 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
✓cost-diff320
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))
✓cost-diff320
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓cost-diff384
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓cost-diff704
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
✓cost-diff0
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓cost-diff960
(fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓cost-diff0
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓cost-diff0
(log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓cost-diff192
(*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
✓cost-diff12224
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
Rules
10 978×lower-fma.f32
10 964×lower-fma.f64
6 708×lower-*.f32
6 680×lower-*.f64
1 586×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054973
0103917
1197878
2511862
31854862
45589862
08093862
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))
#s(literal 1/64 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/16 binary64)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 2 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))
#s(literal 6 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(neg.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(PI.f64)
#s(literal 1/4 binary64)
(neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (*.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))
(*.f64 (PI.f64) (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/16 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))
#s(literal 1/64 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))
v
(*.f64 v #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal -1 binary64)
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/16 binary64)
(fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(literal 1/4 binary64)
(pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
#s(literal 2 binary64)
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
(/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))))))
(/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))
#s(literal 6 binary64)

localize778.0ms (5%)

Memory
13.4MiB live, 961.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy97.6%
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
✓accuracy97.5%
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))
✓accuracy8.7%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy6.6%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
✓accuracy98.4%
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
✓accuracy97.6%
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
✓accuracy8.8%
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
✓accuracy8.6%
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
✓accuracy99.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓accuracy99.1%
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy8.7%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy8.5%
(fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
✓accuracy99.4%
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓accuracy99.1%
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓accuracy8.7%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy5.6%
(fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
✓accuracy100.0%
(log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
✓accuracy99.2%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
Samples
282.0ms111×2valid
264.0ms139×1valid
3.0ms6×0valid
Compiler

Compiled 1 077 to 61 computations (94.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 155.0ms (37.2% of total)
ival-log: 57.0ms (13.7% of total)
adjust: 51.0ms (12.2% of total)
ival-div: 33.0ms (7.9% of total)
ival-asin: 28.0ms (6.7% of total)
ival-pow: 21.0ms (5% of total)
ival-add: 19.0ms (4.6% of total)
ival-pow2: 17.0ms (4.1% of total)
ival-acos: 11.0ms (2.6% of total)
ival-sub: 9.0ms (2.2% of total)
ival-exp: 6.0ms (1.4% of total)
ival-neg: 6.0ms (1.4% of total)
ival-pi: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.5%)

Memory
19.4MiB live, 145.0MiB allocated
Counts
16 → 180
Calls
Call 1
Inputs
#<alt (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))>
#<alt (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))>
#<alt (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))>
#<alt (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))>
#<alt (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))>
#<alt (/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))>
#<alt (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))>
#<alt (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))>
#<alt (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))>
#<alt (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))>
#<alt (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))>
Outputs
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (acos (- (* 4 (pow v 2)) 1))>
#<alt (/ 1 (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 (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (acos (- (* 4 (pow v 2)) 1)))>
#<alt (log (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 (acos (- (* 4 (pow v 2)) 1))>
#<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 (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<alt (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI)))>
#<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 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))>
#<alt (/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 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 (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 4)>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
#<alt (pow (asin (- (* 4 (pow v 2)) 1)) 6)>
Calls

45 calls:

TimeVariablePointExpression
30.0ms
v
@0
(log (acos (+ (* v (* v 4)) -1)))
24.0ms
v
@inf
(log (acos (+ (* v (* v 4)) -1)))
11.0ms
v
@inf
(/ 1 (exp (* (log (acos (+ (* v (* v 4)) -1))) -1)))
4.0ms
v
@0
(- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (* 1/4 (pow (* (PI) (asin (+ (* v (* v 4)) -1))) 2)) (pow (asin (+ (* v (* v 4)) -1)) 4))))) (/ (pow (asin (+ (* v (* v 4)) -1)) 6) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (* 1/4 (pow (* (PI) (asin (+ (* v (* v 4)) -1))) 2)) (pow (asin (+ (* v (* v 4)) -1)) 4))))))
4.0ms
v
@inf
(- (/ (* (* (PI) (* (PI) (PI))) (* (* (PI) (* (PI) (PI))) 1/64)) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (* 1/4 (pow (* (PI) (asin (+ (* v (* v 4)) -1))) 2)) (pow (asin (+ (* v (* v 4)) -1)) 4))))) (/ (pow (asin (+ (* v (* v 4)) -1)) 6) (* (+ (* (PI) 1/2) (asin (+ (* v (* v 4)) -1))) (+ (* (* (* (PI) (PI)) (* (PI) (PI))) 1/16) (+ (* 1/4 (pow (* (PI) (asin (+ (* v (* v 4)) -1))) 2)) (pow (asin (+ (* v (* v 4)) -1)) 4))))))

rewrite708.0ms (4.6%)

Memory
9.9MiB live, 1 402.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 464×lower-fma.f32
5 452×lower-fma.f64
4 044×lower-*.f32
4 018×lower-*.f64
2 834×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048318
091154
1358150
23073150
08543150
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 741
Calls
Call 1
Inputs
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
(pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))
Outputs
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64)) (+.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 18 binary64)) (pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 6 binary64))) (pow.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -6 binary64))) #s(literal -2 binary64)) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64))) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(fma.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/64 binary64)))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
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(*.f64 (pow.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64)))

simplify710.0ms (4.6%)

Memory
4.1MiB live, 1 241.2MiB allocated
Algorithm
1×egg-herbie
Rules
32 188×lower-fma.f64
32 188×lower-fma.f32
3 962×lower-*.f64
3 962×lower-*.f32
3 600×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0433684
1873684
22183684
36193684
420283684
562653684
081373300
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(acos (- (* 4 (pow v 2)) 1))
(/ 1 (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)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (acos (- (* 4 (pow v 2)) 1)))
(log (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))
(acos (- (* 4 (pow v 2)) 1))
(- (* 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))
(+ (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)) (* 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))
(/ (- (* 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 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2)))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 2))) (+ (asin (- (* 4 (pow v 2)) 1)) (* 1/2 (PI))))
(/ (+ (* -1 (pow (asin (- (* 4 (pow v 2)) 1)) 2)) (* 1/4 (pow (PI) 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))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(- (* 1/16 (pow (PI) 4)) (pow (asin (- (* 4 (pow v 2)) 1)) 4))
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(pow (asin (- (* 4 (pow v 2)) 1)) 4)
(- (* 1/64 (/ (pow (PI) 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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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) (* (+ (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)))))) (/ (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))))))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
Outputs
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
(acos (- (* 4 (pow v 2)) 1))
(acos.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))
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(- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
(- (* 1/64 (/ (pow (PI) 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)))))) (/ (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))))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))
(pow (asin (- (* 4 (pow v 2)) 1)) 6)
(pow.f64 (asin.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -1 binary64))) #s(literal 6 binary64))

eval919.0ms (5.9%)

Memory
-40.2MiB live, 1 233.9MiB allocated
Compiler

Compiled 256 657 to 5 730 computations (97.8% saved)

prune278.0ms (1.8%)

Memory
14.4MiB live, 681.0MiB allocated
Pruning

20 alts after pruning (7 fresh and 13 done)

PrunedKeptTotal
New2 92952 934
Fresh123
Picked145
Done099
Total2 931202 951
Accuracy
99.3%
Counts
2 951 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.4%
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓98.4%
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
96.9%
(pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
98.4%
(pow.f64 (E.f64) (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓2.0%
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓4.4%
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
2.0%
(/.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
✓1.3%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
4.4%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
✓4.4%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
96.9%
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓1.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
1.3%
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64))))
✓1.3%
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
✓98.5%
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
✓98.4%
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
✓99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
✓99.2%
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
✓99.2%
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
✓97.9%
(acos.f64 #s(literal -1 binary64))
Compiler

Compiled 1 339 to 437 computations (67.4% saved)

regimes29.0ms (0.2%)

Memory
-22.5MiB live, 59.0MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(pow.f64 (E.f64) (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (PI.f64) (neg.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (log.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64)))) (acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (neg.f64 (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))))))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/64 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (PI.f64) (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
Calls

4 calls:

9.0ms
v
7.0ms
(*.f64 v v)
5.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
5.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%1v
99.2%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory
23.3MiB live, 23.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (*.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 v v #s(literal -1 binary64)))))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Calls

4 calls:

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

Compiled 35 to 20 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory
-21.2MiB live, 17.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
Outputs
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
Calls

4 calls:

4.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.5%1v
98.5%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))))
98.5%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.5%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.4%1v
98.4%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.4%1(*.f64 v v)
98.4%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 35 to 20 computations (42.9% saved)

regimes5.0ms (0%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal -1 binary64))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
Outputs
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
Calls

4 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.4%1v
98.4%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))))
98.4%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.4%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

regimes6.0ms (0%)

Memory
-30.0MiB live, 8.7MiB allocated
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

4 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
97.9%1v
97.9%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))))
97.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.9%1(*.f64 v v)
Compiler

Compiled 35 to 20 computations (42.9% saved)

simplify6.0ms (0%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02760
13660
23860
33960
Stop Event
1×saturated
Calls
Call 1
Inputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos.f64 #s(literal -1 binary64))
Outputs
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 v #s(literal -1 binary64)) v (+.f64 v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 v (*.f64 v #s(literal -5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (fma.f64 v (*.f64 v (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))))
(acos.f64 (fma.f64 v (*.f64 v #s(literal 4 binary64)) #s(literal -1 binary64)))
(acos.f64 #s(literal -1 binary64))

soundness631.0ms (4.1%)

Memory
-4.7MiB live, 474.6MiB allocated
Rules
9 306×lower-fma.f64
9 306×lower-fma.f32
8 630×lower-fma.f32
8 620×lower-fma.f64
5 014×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021107
041103
1150103
21006101
08786101
033390
189384
2236380
3593380
41508378
53634378
66488378
08129349
0935
01535
17035
253035
3682835
0801231
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 152 to 88 computations (42.1% saved)

preprocess57.0ms (0.4%)

Memory
-6.3MiB live, 73.2MiB allocated
Compiler

Compiled 186 to 92 computations (50.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...