bug323 (missed optimization)

Time bar (total: 10.2s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.9s (28%)

Memory
-134.4MiB live, 1 548.8MiB allocated
Samples
2.0s7 942×1valid
44.0ms314×0valid
Precisions
Click to see histograms. Total time spent on operations: 878.0ms
ival-acos: 433.0ms (49.3% of total)
ival-sub: 246.0ms (28% of total)
adjust: 98.0ms (11.2% of total)
ival-<=: 66.0ms (7.5% of total)
exact: 18.0ms (2.1% of total)
ival-and: 13.0ms (1.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess17.0ms (0.2%)

Memory
-7.8MiB live, 39.4MiB allocated
Algorithm
2×egg-herbie
Rules
28×sub-neg
24×+-lowering-+.f64
24×+-lowering-+.f32
18×--lowering--.f32
18×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11813
23213
35713
48313
511713
613713
044
184
2124
3174
4244
5324
6424
7534
8564
0564
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(acos (- 1 x))
Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Call 2
Inputs
(acos (- 1 x))
(acos (- 1 (neg x)))
(neg (acos (- 1 (neg x))))
Outputs
(acos (- 1 x))
(acos (- 1 (neg x)))
(acos (+ 1 x))
(neg (acos (- 1 (neg x))))
(neg (acos (+ 1 x)))

explain147.0ms (1.4%)

Memory
-1.6MiB live, 159.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-0-(acos.f64 (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (-.f64 #s(literal 1 binary64) x))sensitivity2551
Confusion
Predicted +Predicted -
+2550
-01
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25500
-010
Precision?
0.99609375
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
51.0ms496×1valid
1.0ms16×0valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-acos: 19.0ms (52.7% of total)
ival-sub: 10.0ms (27.7% of total)
adjust: 5.0ms (13.9% of total)
exact: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Rules
24×+-lowering-+.f64
24×+-lowering-+.f32
18×--lowering--.f32
18×--lowering--.f64
16×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049
189
2129
3179
4249
5329
6429
7539
8569
0569
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(acos (- 1 x))
(- 1 x)
1
x
Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize34.0ms (0.3%)

Memory
-16.1MiB live, 61.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Samples
25.0ms248×1valid
0.0ms8×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-acos: 9.0ms (57.1% of total)
adjust: 3.0ms (19% of total)
ival-sub: 3.0ms (19% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor 0 x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (- 1 x)) (taylor inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (acos (+ 1 (* -1 x))) (taylor -inf x) (#s(alt (acos (- 1 x)) (patch (acos.f64 (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (- 1 x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- 1 x)
0.0ms
x
@-inf
(acos (- 1 x))
0.0ms
x
@0
(acos (- 1 x))
0.0ms
x
@-inf
(- 1 x)
0.0ms
x
@0
(- 1 x)

rewrite314.0ms (3.1%)

Memory
10.8MiB live, 729.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 910×accelerator-lowering-fma.f32
4 910×accelerator-lowering-fma.f64
4 364×*-lowering-*.f32
4 364×*-lowering-*.f64
4 164×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047
1267
21697
313857
093727
Stop Event
1×iter limit
1×node limit
Counts
2 → 339
Calls
Call 1
Inputs
(acos (- 1 x))
(- 1 x)
Outputs
(acos.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(+.f64 (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 #s(literal 1 binary64) x)))
(-.f64 (PI.f64) (acos.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))) (/.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal -1 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #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 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.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 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (+.f64 #s(literal 1 binary64) x))))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))

simplify14.0ms (0.1%)

Memory
-8.7MiB live, 30.5MiB allocated
Algorithm
1×egg-herbie
Rules
112×accelerator-lowering-fma.f32
112×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
48×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
12980
26280
311380
417180
523980
625980
025980
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (- 1 x))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
(acos (+ 1 (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (- 1 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(acos (+ 1 (* -1 x)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval55.0ms (0.5%)

Memory
6.5MiB live, 122.7MiB allocated
Compiler

Compiled 12 869 to 1 318 computations (89.8% saved)

prune76.0ms (0.7%)

Memory
13.3MiB live, 130.3MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3612363
Fresh000
Picked011
Done000
Total3613364
Accuracy
9.0%
Counts
364 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
▶6.8%
(acos.f64 (neg.f64 x))
▶3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(acos.f64 (neg.f64 x))
✓cost-diff0
(acos.f64 #s(literal 1 binary64))
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×--lowering--.f32
6×sub-neg
6×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1109
2129
3149
4169
5209
6259
0259
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(acos 1)
1
(acos (neg x))
(neg x)
x
Outputs
(acos 1)
(acos.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(acos (neg x))
(acos.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x

localize19.0ms (0.2%)

Memory
-13.3MiB live, 29.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(acos.f64 (neg.f64 x))
✓accuracy100.0%
(acos.f64 #s(literal 1 binary64))
Samples
10.0ms256×0valid
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-acos: 4.0ms (78.9% of total)
ival-neg: 1.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Counts
3 → 24
Calls
Call 1
Inputs
#s(alt (acos 1) (patch (acos.f64 #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt (acos (neg x)) (taylor 0 x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor 0 x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor 0 x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor 0 x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (neg x)) (taylor inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 x)) (taylor -inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 x)) (taylor -inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 x)) (taylor -inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (acos (* -1 x)) (taylor -inf x) (#s(alt (acos (neg x)) (patch (acos.f64 (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(neg x)
0.0ms
x
@0
(acos (neg x))
0.0ms
x
@-inf
(acos (neg x))
0.0ms
x
@inf
(acos (neg x))
0.0ms
x
@0
(neg x)

rewrite374.0ms (3.7%)

Memory
5.6MiB live, 711.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 506×accelerator-lowering-fma.f32
5 506×accelerator-lowering-fma.f64
3 892×*-lowering-*.f32
3 892×*-lowering-*.f64
3 368×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1197
21017
39167
086067
Stop Event
1×iter limit
1×node limit
Counts
3 → 283
Calls
Call 1
Inputs
(acos 1)
(acos (neg x))
(neg x)
Outputs
(acos.f64 #s(literal 1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (acos.f64 #s(literal 1 binary64)))
(+.f64 (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(literal 1 binary64)))
(-.f64 (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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 #s(literal 1 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (asin.f64 #s(literal 1 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 binary64)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (acos.f64 #s(literal 1 binary64)))))
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(/.f64 (+.f64 (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (neg.f64 (acos.f64 x)) (PI.f64)))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (*.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.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)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (neg.f64 (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (fma.f64 (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x))) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (PI.f64) (acos.f64 x))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (+.f64 (PI.f64) (acos.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (fma.f64 (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x)) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (acos.f64 x)) (/.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (acos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (*.f64 (PI.f64) (PI.f64))) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (asin.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (asin.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (neg.f64 x)) #s(literal 2 binary64))) (neg.f64 (acos.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (pow.f64 (asin.f64 x) #s(literal 2 binary64))) (-.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (neg.f64 x)))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (PI.f64) (-.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (*.f64 (PI.f64) (neg.f64 (acos.f64 x)))))))
(*.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (PI.f64) (acos.f64 x))))
(*.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))))
(*.f64 (*.f64 (acos.f64 x) (acos.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (acos.f64 x)))
(*.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (acos.f64 x) (+.f64 (PI.f64) (acos.f64 x)) (*.f64 (PI.f64) (PI.f64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64) (pow.f64 (asin.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (asin.f64 x)) (acos.f64 x) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (PI.f64) (acos.f64 x)))))
(*.f64 (neg.f64 (*.f64 (acos.f64 x) (acos.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (acos.f64 x))))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (*.f64 x x) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify6.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
1×egg-herbie
Rules
8×+-lowering-+.f64
8×+-lowering-+.f32
6×--lowering--.f32
6×sub-neg
6×--lowering--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0660
1960
21060
31260
41460
51860
62360
02360
Stop Event
1×iter limit
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (neg x))
(acos (* -1 x))
(acos (* -1 x))
(acos (* -1 x))
(acos (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (neg x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(acos (* -1 x))
(acos.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval48.0ms (0.5%)

Memory
-2.3MiB live, 131.2MiB allocated
Compiler

Compiled 8 248 to 1 043 computations (87.4% saved)

prune97.0ms (0.9%)

Memory
-32.1MiB live, 122.3MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3034307
Fresh000
Picked022
Done011
Total3037310
Accuracy
9.9%
Counts
310 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.8%
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
▶7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
✓6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓6.8%
(acos.f64 (neg.f64 x))
✓3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 105 to 61 computations (41.9% saved)

simplify269.0ms (2.6%)

Memory
9.0MiB live, 450.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff0
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓cost-diff64
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
✓cost-diff15232
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓cost-diff7808
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓cost-diff0
(neg.f64 (acos.f64 x))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff1600
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
Rules
5 492×accelerator-lowering-fma.f32
5 492×accelerator-lowering-fma.f64
3 764×*-lowering-*.f32
3 764×*-lowering-*.f64
1 678×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040289
1100285
2254283
3766283
42007258
54302258
65669254
76387254
87285254
97698254
107818254
08207240
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
(sqrt (PI))
(PI)
(neg (acos x))
(acos x)
x
(+ (* (* (* (PI) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(/ 1 (+ (* (PI) 1/2) (asin 1)))
1
(+ (* (PI) 1/2) (asin 1))
1/2
(asin 1)
(neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))
(/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))
(pow (asin 1) 2)
2
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/8
(/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
1
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(asin 1)
(+ (* (PI) 1/2) (asin 1))
1/2
(* (* (PI) (PI)) 1/4)
1/4
(neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(pow (asin 1) 3)
3
(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
(pow (* (* (PI) (PI)) (sqrt (PI))) 1/3)
(* (* (PI) (PI)) (sqrt (PI)))
(* (PI) (PI))
(PI)
(sqrt (PI))
1/3
(cbrt (sqrt (PI)))
(neg (acos x))
(acos x)
x
Outputs
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
(-.f64 (PI.f64) (acos.f64 x))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(neg (acos x))
(neg.f64 (acos.f64 x))
(acos x)
(acos.f64 x)
x
(+ (* (* (* (PI) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(* (* (PI) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(/ 1 (+ (* (PI) 1/2) (asin 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(asin 1)
(asin.f64 #s(literal 1 binary64))
(neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow (asin 1) 2)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/8 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(* (* (PI) (* (PI) (PI))) 1/8)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/8
#s(literal 1/8 binary64)
(/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
1
#s(literal 1 binary64)
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin 1)
(asin.f64 #s(literal 1 binary64))
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(pow (asin 1) 3)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
(-.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (acos.f64 x))
(pow (* (* (PI) (PI)) (sqrt (PI))) 1/3)
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(* (* (PI) (PI)) (sqrt (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
1/3
#s(literal 1/3 binary64)
(cbrt (sqrt (PI)))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg (acos x))
(neg.f64 (acos.f64 x))
(acos x)
(acos.f64 x)
x

localize334.0ms (3.3%)

Memory
12.5MiB live, 701.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(PI.f64)
✓accuracy98.5%
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓accuracy98.4%
(pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.4%
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
✓accuracy98.4%
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy3.3%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓accuracy100.0%
(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
✓accuracy100.0%
(asin.f64 #s(literal 1 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy3.3%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓accuracy100.0%
(acos.f64 x)
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy97.6%
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
Samples
246.0ms256×2valid
Compiler

Compiled 284 to 42 computations (85.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 49.0ms (26.1% of total)
adjust: 30.0ms (16% of total)
ival-div: 29.0ms (15.5% of total)
ival-add: 19.0ms (10.1% of total)
ival-pow2: 12.0ms (6.4% of total)
ival-pow: 9.0ms (4.8% of total)
ival-neg: 8.0ms (4.3% of total)
ival-cbrt: 8.0ms (4.3% of total)
ival-sqrt: 6.0ms (3.2% of total)
ival-asin: 5.0ms (2.7% of total)
ival-acos: 5.0ms (2.7% of total)
const: 4.0ms (2.1% of total)
ival-pi: 4.0ms (2.1% of total)
exact: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
18 → 48
Calls
Call 1
Inputs
#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())
#s(alt (sqrt (PI)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (PI) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())
#s(alt (+ (* (* (* (PI) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))) (patch (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (* (* (PI) (PI)) 1/4) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (* (PI) (PI)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (patch (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) #<representation binary64>) () ())
#s(alt (* (* (PI) (* (PI) (PI))) 1/8) (patch (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (* (PI) (* (PI) (PI))) (patch (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (patch (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())
#s(alt (* (* (PI) (PI)) (sqrt (PI))) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())
#s(alt (asin 1) (patch (asin.f64 #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))) (patch (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))) (patch (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (pow (asin 1) 3) (patch (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x))) (patch (fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor 0 x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor 0 x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor 0 x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor 0 x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor -inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor -inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor -inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (acos x)) (taylor -inf x) (#s(alt (neg (acos x)) (patch (neg.f64 (acos.f64 x)) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor 0 x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor 0 x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor 0 x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor 0 x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor -inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor -inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor -inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
#s(alt (acos x) (taylor -inf x) (#s(alt (acos x) (patch (acos.f64 x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms
x
@0
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
0.0ms
x
@-inf
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
0.0ms
x
@inf
(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms
x
@inf
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))

rewrite669.0ms (6.6%)

Memory
-12.1MiB live, 701.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 630×*-lowering-*.f32
5 630×*-lowering-*.f64
5 212×accelerator-lowering-fma.f32
5 212×accelerator-lowering-fma.f64
4 000×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040131
122981
2210680
0994977
Stop Event
1×iter limit
1×node limit
Counts
18 → 1 535
Calls
Call 1
Inputs
(+ (* (sqrt (PI)) (sqrt (PI))) (neg (acos x)))
(sqrt (PI))
(PI)
(neg (acos x))
(+ (* (* (* (PI) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(pow (* (* (PI) (PI)) (sqrt (PI))) 1/3)
(+ (* (pow (* (* (PI) (PI)) (sqrt (PI))) 1/3) (cbrt (sqrt (PI)))) (neg (acos x)))
(* (* (PI) (PI)) (sqrt (PI)))
(acos x)
(asin 1)
(neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))
(/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(pow (asin 1) 3)
Outputs
(+.f64 (PI.f64) (neg.f64 (acos.f64 x)))
(+.f64 (neg.f64 (acos.f64 x)) (PI.f64))
(+.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 x))
(-.f64 (PI.f64) (acos.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 (acos.f64 x) (PI.f64)))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))) (/.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (PI.f64) (neg.f64 (acos.f64 x)))))
(-.f64 (+.f64 (PI.f64) #s(literal 0 binary64)) (acos.f64 x))
(fma.f64 (PI.f64) #s(literal 1 binary64) (neg.f64 (acos.f64 x)))
(fma.f64 (PI.f64) (log.f64 (E.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (acos.f64 x) #s(literal -1 binary64) (PI.f64))
(fma.f64 #s(literal 1 binary64) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 #s(literal -1 binary64) (acos.f64 x) (PI.f64))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64)) (pow.f64 (PI.f64) #s(literal 5/12 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64)) #s(literal 1 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (PI.f64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 8/3 binary64))) (cbrt.f64 (cbrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.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)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 7/6 binary64))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64)) (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 5/3 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 5/6 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/6 binary64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))) (fabs.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/6 binary64))) (neg.f64 (acos.f64 x)))
(fma.f64 (fabs.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) #s(literal 1/6 binary64))) (fabs.f64 (pow.f64 (PI.f64) #s(literal 5/12 binary64))) (neg.f64 (acos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (acos.f64 x)) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (PI.f64) (neg.f64 (acos.f64 x))) (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (acos.f64 x)) (-.f64 (neg.f64 (acos.f64 x)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (pow.f64 (acos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (acos.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) (PI.f64)) (neg.f64 (*.f64 (PI.f64) (acos.f64 x))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 x) #s(literal 2 binary64))) (-.f64 (PI.f64) (neg.f64 (acos.f64 x))))
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(neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (asin.f64 #s(literal 1 binary64))) (log.f64 (asin.f64 #s(literal 1 binary64)))))
(exp.f64 (fma.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3/2 binary64))))
(/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (acos.f64 #s(literal 1 binary64))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (acos.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (acos.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (asin.f64 #s(literal 1 binary64))))
(*.f64 (asin.f64 #s(literal 1 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (asin.f64 #s(literal 1 binary64)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (asin.f64 #s(literal 1 binary64))) #s(literal 3 binary64)))

simplify33.0ms (0.3%)

Memory
19.2MiB live, 59.1MiB allocated
Algorithm
1×egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06156
19156
212156
317156
425156
540156
673156
798156
8142156
9157156
10165156
0165156
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(* -1 (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
(acos x)
Outputs
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(* -1 (acos x))
(neg.f64 (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)
(acos x)
(acos.f64 x)

eval821.0ms (8%)

Memory
42.6MiB live, 1 026.7MiB allocated
Compiler

Compiled 238 307 to 11 018 computations (95.4% saved)

prune566.0ms (5.6%)

Memory
-43.6MiB live, 843.6MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New4 142144 156
Fresh000
Picked314
Done033
Total4 145184 163
Accuracy
10.1%
Counts
4 163 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶7.6%
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
7.6%
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶7.6%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
▶7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
▶6.8%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
7.6%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
7.6%
(fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -2 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
7.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)))))
7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
▶7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓6.8%
(acos.f64 (neg.f64 x))
✓3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 1 463 to 596 computations (59.3% saved)

simplify362.0ms (3.6%)

Memory
17.8MiB live, 333.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
✓cost-diff0
(asin.f64 #s(literal 1 binary64))
✓cost-diff0
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
✓cost-diff27776
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
✓cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓cost-diff14912
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64))
✓cost-diff7488
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(sqrt.f64 (PI.f64))
✓cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
✓cost-diff0
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓cost-diff0
(*.f64 (PI.f64) (PI.f64))
✓cost-diff0
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
✓cost-diff7104
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
✓cost-diff13568
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
Rules
12 310×accelerator-lowering-fma.f32
12 310×accelerator-lowering-fma.f64
6 006×*-lowering-*.f32
6 006×*-lowering-*.f64
1 578×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060597
1156574
2494570
31834563
44091528
56767528
08558499
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))) (pow (+ (* (PI) 1/2) (asin 1)) 2))
(+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(PI)
1/4
(+ (* (PI) 1/2) (asin 1))
1/2
(asin 1)
1
(* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))
(neg (pow (asin 1) 2))
(pow (asin 1) 2)
2
(pow (+ (* (PI) 1/2) (asin 1)) 2)
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
(* (sqrt (PI)) (cbrt (PI)))
(sqrt (PI))
(PI)
(cbrt (PI))
(cbrt (sqrt (PI)))
(neg (acos x))
(acos x)
x
(+ (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4)
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
1/4
(/ 1 (+ (* (PI) 1/2) (asin 1)))
1
(+ (* (PI) 1/2) (asin 1))
1/2
(asin 1)
(neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))
(/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))
(pow (asin 1) 2)
2
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
1/8
(/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))
1
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4))
(asin 1)
(+ (* (PI) 1/2) (asin 1))
1/2
(* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)
(* (* (sqrt (PI)) (sqrt (PI))) (PI))
(* (sqrt (PI)) (sqrt (PI)))
(sqrt (PI))
1/4
(neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(pow (asin 1) 3)
3
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(* (* (PI) (PI)) 1/4)
(+ (* (pow (asin 1) 3/2) (/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(pow (asin 1) 3/2)
(asin 1)
1
3/2
(/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(+ (* (PI) 1/2) (asin 1))
(PI)
1/2
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
1/4
(/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
1/8
Outputs
(/ (+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))) (pow (+ (* (PI) 1/2) (asin 1)) 2))
(neg.f64 (/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2))))
(neg.f64 (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
(* (* (PI) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(PI)
(PI.f64)
1/4
#s(literal 1/4 binary64)
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(asin 1)
(asin.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))
(*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(neg (pow (asin 1) 2))
(neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow (asin 1) 2)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(pow (+ (* (PI) 1/2) (asin 1)) 2)
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (acos.f64 x)))
(* (sqrt (PI)) (cbrt (PI)))
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(cbrt (PI))
(cbrt.f64 (PI.f64))
(cbrt (sqrt (PI)))
(cbrt.f64 (sqrt.f64 (PI.f64)))
(neg (acos x))
(neg.f64 (acos.f64 x))
(acos x)
(acos.f64 x)
x
(+ (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))))
(* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4)
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI))
(*.f64 (PI.f64) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
1/4
#s(literal 1/4 binary64)
(/ 1 (+ (* (PI) 1/2) (asin 1)))
(/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(asin 1)
(asin.f64 #s(literal 1 binary64))
(neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))))
(/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))
(pow (asin 1) 2)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64))))
(* (* (PI) (* (PI) (PI))) 1/8)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/8
#s(literal 1/8 binary64)
(/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))
(/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
1
#s(literal 1 binary64)
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(asin 1)
(asin.f64 #s(literal 1 binary64))
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (* (sqrt (PI)) (sqrt (PI))) (PI))
(*.f64 (PI.f64) (PI.f64))
(* (sqrt (PI)) (sqrt (PI)))
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
1/4
#s(literal 1/4 binary64)
(neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(pow (asin 1) 3)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(* (* (PI) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(+ (* (pow (asin 1) 3/2) (/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))) (+.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/8 binary64))))
(pow (asin 1) 3/2)
(pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64))
(asin 1)
(asin.f64 #s(literal 1 binary64))
1
#s(literal 1 binary64)
3/2
#s(literal 3/2 binary64)
(/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64)))))
(neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(+ (* (PI) 1/2) (asin 1))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(* (* (PI) (PI)) 1/4)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
1/4
#s(literal 1/4 binary64)
(/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(* (* (PI) (* (PI) (PI))) 1/8)
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(* (PI) (* (PI) (PI)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
1/8
#s(literal 1/8 binary64)

localize512.0ms (5%)

Memory
1.6MiB live, 431.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.4%
(fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
✓accuracy98.4%
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy3.2%
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy3.3%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy3.3%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓accuracy98.5%
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy98.4%
(cbrt.f64 (PI.f64))
✓accuracy100.0%
(asin.f64 #s(literal 1 binary64))
✓accuracy100.0%
(PI.f64)
✓accuracy98.4%
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))
✓accuracy3.2%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))))
Samples
375.0ms256×2valid
Compiler

Compiled 596 to 62 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 295.0ms
ival-mult: 77.0ms (26.1% of total)
ival-pow: 48.0ms (16.3% of total)
adjust: 37.0ms (12.6% of total)
ival-div: 34.0ms (11.5% of total)
ival-add: 26.0ms (8.8% of total)
ival-neg: 19.0ms (6.4% of total)
ival-sqrt: 15.0ms (5.1% of total)
ival-pow2: 14.0ms (4.8% of total)
ival-cbrt: 8.0ms (2.7% of total)
ival-asin: 5.0ms (1.7% of total)
ival-pi: 4.0ms (1.4% of total)
ival-acos: 4.0ms (1.4% of total)
exact: 2.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
24 → 12
Calls
Call 1
Inputs
#s(alt (/ (+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))) (pow (+ (* (PI) 1/2) (asin 1)) 2)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))) (patch (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt (* (* (PI) (PI)) 1/4) (patch (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (* (PI) (PI)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())
#s(alt (* (sqrt (PI)) (cbrt (PI))) (patch (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (sqrt (PI)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (PI) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (+ (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1))))) (patch (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4) (patch (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #<representation binary64>) () ())
#s(alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (patch (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #<representation binary64>) () ())
#s(alt (+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (patch (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))) #<representation binary64>) () ())
#s(alt (* (sqrt (PI)) (sqrt (PI))) (patch (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) #<representation binary64>) () ())
#s(alt (* (* (PI) (* (PI) (PI))) 1/8) (patch (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (* (PI) (* (PI) (PI))) (patch (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (+ (* (pow (asin 1) 3/2) (/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (patch (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (pow (asin 1) 3/2) (patch (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (asin 1) (patch (asin.f64 #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))) (patch (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) #<representation binary64>) () ())
#s(alt (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2))) (patch (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (cbrt (PI)) (patch (cbrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))) (patch (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) #<representation binary64>) () ())
#s(alt (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)) (patch (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor 0 x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
#s(alt (- (PI) (acos x)) (taylor -inf x) (#s(alt (+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x))) (patch (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms
x
@inf
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
0.0ms
x
@-inf
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))

rewrite482.0ms (4.7%)

Memory
-5.3MiB live, 552.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 904×accelerator-lowering-fma.f32
4 904×accelerator-lowering-fma.f64
3 624×*-lowering-*.f32
3 624×*-lowering-*.f64
3 064×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060284
1352142
23063136
08440128
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 701
Calls
Call 1
Inputs
(/ (+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))) (pow (+ (* (PI) 1/2) (asin 1)) 2))
(+ (* (* (* (PI) (PI)) 1/4) (+ (* (PI) 1/2) (asin 1))) (* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2))))
(* (* (PI) (PI)) 1/4)
(* (PI) (PI))
(+ (* (* (sqrt (PI)) (cbrt (PI))) (cbrt (sqrt (PI)))) (neg (acos x)))
(* (sqrt (PI)) (cbrt (PI)))
(sqrt (PI))
(PI)
(+ (* (* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4) (/ 1 (+ (* (PI) 1/2) (asin 1)))) (neg (/ (pow (asin 1) 2) (+ (* (PI) 1/2) (asin 1)))))
(* (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI)) 1/4)
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (PI))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(+ (* (* (* (PI) (* (PI) (PI))) 1/8) (/ 1 (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (* (sqrt (PI)) (sqrt (PI))) (PI)) 1/4)))) (neg (/ (pow (asin 1) 3) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))))
(* (sqrt (PI)) (sqrt (PI)))
(* (* (PI) (* (PI) (PI))) 1/8)
(* (PI) (* (PI) (PI)))
(+ (* (pow (asin 1) 3/2) (/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))) (/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(pow (asin 1) 3/2)
(asin 1)
(/ (pow (asin 1) 3/2) (neg (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))))
(* (+ (* (PI) 1/2) (asin 1)) (neg (pow (asin 1) 2)))
(cbrt (PI))
(/ (* (* (PI) (* (PI) (PI))) 1/8) (+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4)))
(+ (* (asin 1) (+ (* (PI) 1/2) (asin 1))) (* (* (PI) (PI)) 1/4))
Outputs
(acos.f64 #s(literal 1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 #s(literal 1 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 #s(literal 1 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(+.f64 (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (acos.f64 #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 #s(literal 1 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 #s(literal 1 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))))
(/.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))) (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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))))))
(/.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))
(/.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))))
(/.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64) (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))))
(/.f64 (neg.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) #s(literal -1 binary64))
(pow.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64))) (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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64))) (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(*.f64 (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(*.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 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)))))

simplify38.0ms (0.4%)

Memory
2.5MiB live, 80.1MiB allocated
Algorithm
1×egg-herbie
Rules
80×accelerator-lowering-fma.f32
80×accelerator-lowering-fma.f64
48×*-lowering-*.f32
48×*-lowering-*.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0448
1648
21148
31748
42548
54048
67348
79748
814148
915648
1016448
016448
Stop Event
1×iter limit
1×saturated
Counts
12 → 12
Calls
Call 1
Inputs
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
(- (PI) (acos x))
Outputs
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))
(- (PI) (acos x))
(-.f64 (PI.f64) (acos.f64 x))

eval809.0ms (7.9%)

Memory
24.8MiB live, 1 151.2MiB allocated
Compiler

Compiled 195 489 to 11 310 computations (94.2% saved)

prune686.0ms (6.7%)

Memory
-1.2MiB live, 809.2MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New4 36294 371
Fresh279
Picked145
Done044
Total4 365244 389
Accuracy
10.2%
Counts
4 389 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.6%
(fma.f64 (pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
6.8%
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
✓7.6%
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
7.6%
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
7.6%
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓7.6%
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64))))))
✓7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
7.6%
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
✓6.8%
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
7.6%
(fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
7.6%
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)))))
7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
✓7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
7.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (asin.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
✓6.4%
(acos.f64 (-.f64 #s(literal 1 binary64) x))
✓6.8%
(acos.f64 (neg.f64 x))
✓3.8%
(acos.f64 #s(literal 1 binary64))
Compiler

Compiled 2 065 to 585 computations (71.7% saved)

regimes25.0ms (0.2%)

Memory
-13.8MiB live, 26.5MiB allocated
Counts
30 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (PI.f64) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (asin.f64 #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (PI.f64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (/.f64 #s(literal 1/8 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(fma.f64 (pow.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #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)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64))))) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/4 binary64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -2 binary64))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal -3 binary64))) #s(literal -3 binary64))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))) (/.f64 (fma.f64 (asin.f64 #s(literal 1 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)))))
Outputs
(/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64)))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

10.0ms
x
7.0ms
(-.f64 #s(literal 1 binary64) x)
6.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.9%2x
9.9%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.9%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes12.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
Outputs
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.9%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.9%2(-.f64 #s(literal 1 binary64) x)
9.9%2x
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
Outputs
(fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

4.0ms
x
3.0ms
(-.f64 #s(literal 1 binary64) x)
3.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
9.8%2x
9.8%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
9.8%2(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-29.9MiB live, 9.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 5/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 x)))
Outputs
(acos.f64 (neg.f64 x))
(acos.f64 (-.f64 #s(literal 1 binary64) x))
Calls

3 calls:

3.0ms
x
2.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
2.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
9.0%2(-.f64 #s(literal 1 binary64) x)
9.0%2x
9.0%2(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(literal 1 binary64))
(acos.f64 (neg.f64 x))
Outputs
(acos.f64 (neg.f64 x))
Calls

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
6.8%1x
6.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
6.8%1(-.f64 #s(literal 1 binary64) x)
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory
6.1MiB live, 6.1MiB 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

3 calls:

1.0ms
x
1.0ms
(acos.f64 (-.f64 #s(literal 1 binary64) x))
1.0ms
(-.f64 #s(literal 1 binary64) x)
Results
AccuracySegmentsBranch
3.8%1(-.f64 #s(literal 1 binary64) x)
3.8%1x
3.8%1(acos.f64 (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch12.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.5773524925553355e-17
7.303457190315377e-17
Samples
8.0ms96×1valid
Compiler

Compiled 236 to 140 computations (40.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-acos: 3.0ms (57.9% of total)
ival-sub: 1.0ms (19.3% of total)
adjust: 1.0ms (19.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9999999999999999
1.0
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.4901161193847656e-8
Compiler

Compiled 8 to 8 computations (0% saved)

simplify10.0ms (0.1%)

Memory
-23.2MiB live, 16.4MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044130
165130
279130
386130
487130
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))
Outputs
(if (<=.f64 x #s(literal 8924260225606735/162259276829213363391578010288128 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) (neg.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))) #s(literal 2 binary64))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 9007199254740991/9007199254740992 binary64)) (acos.f64 (-.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64))))) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))) (*.f64 (PI.f64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (asin.f64 #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 #s(literal 1 binary64)))))) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 (acos.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (acos.f64 (neg.f64 x)) (acos.f64 (-.f64 #s(literal 1 binary64) x)))
(acos.f64 (neg.f64 x))
(acos.f64 #s(literal 1 binary64))

soundness416.0ms (4.1%)

Memory
0.3MiB live, 238.9MiB allocated
Rules
5 630×*-lowering-*.f32
5 630×*-lowering-*.f64
5 506×accelerator-lowering-fma.f32
5 506×accelerator-lowering-fma.f64
5 212×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060284
1352142
23063136
08440128
057
1197
21017
39167
086067
01480
12980
26280
311380
417180
523980
625980
025980
040131
122981
2210680
0994977
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 157 to 66 computations (58% saved)

preprocess49.0ms (0.5%)

Memory
32.8MiB live, 72.3MiB allocated
Compiler

Compiled 288 to 104 computations (63.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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