ENA, Section 1.4, Mentioned, A

Details

Time bar (total: 4.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
100%49.6%0%50.4%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample3.2s (66%)

Results
2.2s4334×body2048valid
611.0ms2081×body1024valid
201.0ms1068×body512valid
87.0ms773×body256valid
Bogosity

preprocess18.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65011
76211
86511
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify13.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
16×sub-neg
12×fma-def
8×+-commutative
6×associate--r+
6×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21511
32211
42911
53911
65011
76211
86511
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(-.f64 1 (cos.f64 x))

eval0.0ms (0%)

Compiler

Compiled 5 to 4 computations (20% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Accurracy
54.7%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.7%
(-.f64 1 (cos.f64 x))
▶54.7%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 10 to 8 computations (20% saved)

localize96.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓54.7%
(-.f64 1 (cos.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 1 (cos.f64 x))
0.0ms
x
@inf
(-.f64 1 (cos.f64 x))
0.0ms
x
@-inf
(-.f64 1 (cos.f64 x))

rewrite54.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1386×pow1
1278×add-exp-log
1278×log1p-expm1-u
1278×expm1-log1p-u
1252×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2169111
Stop Event
1×node limit
Counts
1 → 28
Calls
Call 1
Inputs
(-.f64 1 (cos.f64 x))
Outputs
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))

simplify65.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1070×associate-/l*
998×div-sub
824×distribute-lft-in
782×distribute-rgt-in
724×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093800
1231740
2679670
33306670
Stop Event
1×node limit
Counts
32 → 44
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(*.f64 1 (-.f64 1 (cos.f64 x)))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/720 (pow.f64 x 6) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 -1/40320 (pow.f64 x 8)))))
(+.f64 1 (neg.f64 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 x)) 1))
(-.f64 1 (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 1 (-.f64 1 (cos.f64 x)))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2))
(-.f64 1 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 2) (cbrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) (sqrt.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (/.f64 1 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))) (-.f64 1 (pow.f64 (cos.f64 x) 3))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 x))) (neg.f64 (+.f64 1 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (+.f64 1 (cos.f64 x)) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (+.f64 1 (+.f64 (cos.f64 x) (pow.f64 (cos.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 1 (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1) (+.f64 1 (cos.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 x)) (+.f64 1 (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(pow.f64 (-.f64 1 (cos.f64 x)) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 1 (cos.f64 x))) 3)
(-.f64 1 (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3) 1/3)
(-.f64 1 (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 1 (cos.f64 x))) 2)
(-.f64 1 (cos.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 2))
(-.f64 1 (cos.f64 x))
(log.f64 (exp.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (cos.f64 x)) 3))
(-.f64 1 (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (cos.f64 x))))
(-.f64 1 (cos.f64 x))

eval9.0ms (0.2%)

Compiler

Compiled 491 to 309 computations (37.1% saved)

prune60.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh000
Picked011
Done000
Total42345
Accurracy
100.0%
Counts
45 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.7%
(-.f64 1 (cos.f64 x))
▶100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶99.4%
(*.f64 1/2 (*.f64 x x))
✓54.7%
(-.f64 1 (cos.f64 x))
▶100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶99.4%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 38 to 28 computations (26.3% saved)

localize59.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓100.0%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms
x
@inf
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
1.0ms
x
@0
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
0.0ms
x
@0
(*.f64 1/2 (*.f64 x x))
0.0ms
x
@inf
(*.f64 1/2 (*.f64 x x))

rewrite110.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1098×log-prod
734×prod-exp
650×pow-prod-down
552×pow-prod-up
484×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
124834
2288134
Stop Event
1×node limit
Counts
2 → 60
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
(+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4))
(+.f64 0 (*.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 x))) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 x) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/2 x))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(+.f64 0 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))

simplify68.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1456×log-prod
1450×associate-*r*
1236×associate-*l*
1102×fma-def
622×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01861746
14241680
210951680
357081680
Stop Event
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4))
(+.f64 0 (*.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x)))) 1)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 x))) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 x) 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/2 x))) 2)
(pow.f64 (*.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 x 3)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 1/2 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (log.f64 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(+.f64 0 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1)
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (tan.f64 (*.f64 1/2 x)))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/24 (pow.f64 x 4)))
(fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (*.f64 1/720 (pow.f64 x 6))))
(fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 -1/40320 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/24 (pow.f64 x 4) (fma.f64 1/720 (pow.f64 x 6) (*.f64 -1/40320 (pow.f64 x 8)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 x x) 1/4))
(*.f64 1/2 (*.f64 x x))
(+.f64 0 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x)))) 1)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 1/4) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 1/2 (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6) 1/3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 1/2 x))) 3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 1/2 x) 3)) 1/3)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 1/2 x))) 2)
(*.f64 1/2 (*.f64 x x))
(pow.f64 (*.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 x 3)) 1/3)
(*.f64 1/2 (*.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(fabs.f64 (*.f64 1/2 (*.f64 x x)))
(log.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x))
(*.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 x x)))))
(*.f64 1/2 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6))
(*.f64 1/2 (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1) 1))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) 3))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 6)) 1/3))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))) 2))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 1/2 x))))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 1/2 x)) 1)))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (log.f64 (*.f64 1/2 x)) (*.f64 (log.f64 x) 1)))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (log.f64 x)))
(*.f64 1/2 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 1/2 x)) 1) (*.f64 (log.f64 x) 1)))
(*.f64 1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(+.f64 0 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 x))) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2))))
(/.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 x)) (cos.f64 (/.f64 x -2)))
(/.f64 (sin.f64 (*.f64 1/2 x)) (/.f64 (cos.f64 (/.f64 x -2)) (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (/.f64 x -2))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 1)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2) 1/2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3) 1/3)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 2)
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 2))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))) 1) 1))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 1/3))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x))))) 2))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (tan.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (log.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 1/2 x))) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 1/2 x)))

eval25.0ms (0.5%)

Compiler

Compiled 877 to 602 computations (31.4% saved)

prune11.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New81182
Fresh000
Picked022
Done011
Total81485
Accurracy
100.0%
Counts
85 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓54.7%
(-.f64 1 (cos.f64 x))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓99.4%
(*.f64 1/2 (*.f64 x x))
▶98.8%
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓54.7%
(-.f64 1 (cos.f64 x))
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
✓99.4%
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 52 to 40 computations (23.1% saved)

localize36.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
✓99.4%
(*.f64 x (sqrt.f64 1/2))
Compiler

Compiled 17 to 14 computations (17.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (sqrt.f64 1/2))
0.0ms
x
@-inf
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
0.0ms
x
@inf
(*.f64 x (sqrt.f64 1/2))
0.0ms
x
@-inf
(*.f64 x (sqrt.f64 1/2))
0.0ms
x
@0
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)

rewrite58.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1456×pow1
1338×add-exp-log
1338×log1p-expm1-u
1338×expm1-log1p-u
1306×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
118424
2195824
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(*.f64 x (sqrt.f64 1/2))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
Outputs
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(*.f64 x (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (*.f64 x x))
(*.f64 (sqrt.f64 1/2) (*.f64 x (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 x x) 1/2)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))

simplify66.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1238×fma-def
1214×distribute-rgt-in
1210×distribute-lft-in
1080×log-prod
600×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0791097
1193777
2677769
32251769
47376769
Stop Event
1×node limit
Counts
59 → 42
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 x x)))
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(*.f64 x (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 1/2 (*.f64 x x))
(*.f64 (sqrt.f64 1/2) (*.f64 x (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 x x) 1/2)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
Outputs
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (sqrt.f64 1/2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 x 2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/2))) 1)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 1)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1/2)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) 3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) 2)
(*.f64 (sqrt.f64 1/2) x)
(sqrt.f64 (*.f64 1/2 (*.f64 x x)))
(*.f64 (sqrt.f64 1/2) x)
(fabs.f64 (*.f64 x (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 3))
(*.f64 (sqrt.f64 1/2) x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) x)
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 x (*.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 (/.f64 x 2) x)
(*.f64 (sqrt.f64 1/2) (*.f64 x (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 x 2) x)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) x) 4)))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 x 2) x)))
(*.f64 (*.f64 x x) 1/2)
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/2))) (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 (*.f64 x (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) x) (sqrt.f64 1/2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2)) x)
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/2)) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/2))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/2)) 4))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 x (*.f64 x (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)

eval16.0ms (0.3%)

Compiler

Compiled 394 to 296 computations (24.9% saved)

prune7.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New40242
Fresh000
Picked101
Done123
Total42446
Accurracy
100.0%
Counts
46 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.4%
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
✓54.7%
(-.f64 1 (cos.f64 x))
▶99.4%
(*.f64 (/.f64 x 2) x)
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
▶54.4%
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
✓54.7%
(-.f64 1 (cos.f64 x))
▶99.4%
(*.f64 (/.f64 x 2) x)
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize92.0ms (1.9%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(*.f64 1/2 (*.f64 x x))
✓54.7%
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
Compiler

Compiled 39 to 23 computations (41% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
0.0ms
x
@-inf
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)

rewrite59.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
1830×pow1
1712×add-exp-log
1710×log1p-expm1-u
1710×expm1-log1p-u
202×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0925
119813
2265113
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
Outputs
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) 1))
(+.f64 (*.f64 1/2 (*.f64 x x)) 0)
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 x x) 1/2)
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(*.f64 (*.f64 1/2 x) x)
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 1/2 x) 1) x)
(*.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (*.f64 x x) -1)))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1)

simplify80.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
884×div-sub
746×fma-def
696×distribute-lft-neg-in
656×distribute-rgt-neg-in
628×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221367
12941311
28251299
337481299
Stop Event
1×node limit
Counts
59 → 64
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) 1))
(+.f64 (*.f64 1/2 (*.f64 x x)) 0)
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 x x) 1/2)
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(*.f64 (*.f64 1/2 x) x)
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (*.f64 (*.f64 1/2 x) 1) x)
(*.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (*.f64 x x) -1)))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1)
Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) -1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) 1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 x x)) 0)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) 1) -1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 -1 (fma.f64 1/2 (*.f64 x x) 1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 (*.f64 x x) -1) 1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1 (*.f64 1/2 (*.f64 x x)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 x (*.f64 1/2 x))
(*.f64 1/2 (*.f64 x x))
(*.f64 (*.f64 x x) 1/2)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/2))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/2 (cbrt.f64 (*.f64 x x))))
(*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 1/2 x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (*.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 1/2 x) x)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) 1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 1/2 (cbrt.f64 (*.f64 x x))))
(*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 1/2 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (*.f64 (*.f64 1/2 x) 1) x)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(*.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (*.f64 1/2 x) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x)))
(*.f64 1/2 (*.f64 x (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))
(*.f64 1/2 (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 x))))
(*.f64 (*.f64 (*.f64 1/2 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (*.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 1 (/.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (*.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (*.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) -1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/2 (*.f64 x x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) (fma.f64 1/2 (*.f64 x x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 x (*.f64 1/2 x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 3)) (+.f64 2 (fma.f64 1/2 (*.f64 x x) (pow.f64 (fma.f64 x (*.f64 1/2 x) 1) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/2 (*.f64 x x)) 2)))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1)) (fma.f64 1/2 (*.f64 x x) -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) -1) 3)) (+.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (-.f64 (fma.f64 1/2 (*.f64 x x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 1/2 x) -1) 3)) (fma.f64 (fma.f64 x (*.f64 1/2 x) -1) (+.f64 (*.f64 x (*.f64 1/2 x)) -2) 1))
(/.f64 (-.f64 1 (*.f64 (fma.f64 1/2 (*.f64 x x) -1) (fma.f64 1/2 (*.f64 x x) -1))) (-.f64 1 (fma.f64 1/2 (*.f64 x x) -1)))
(/.f64 (fma.f64 (fma.f64 x (*.f64 1/2 x) -1) (fma.f64 x (*.f64 x -1/2) 1) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) 2))
(/.f64 (*.f64 (*.f64 x (*.f64 1/2 x)) (-.f64 2 (*.f64 x (*.f64 1/2 x)))) (-.f64 2 (*.f64 x (*.f64 1/2 x))))
(pow.f64 (*.f64 1/2 (*.f64 x x)) 1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/2))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/8))
(expm1.f64 (log1p.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(exp.f64 (log.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (*.f64 x x))) 1))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 x x))))
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) 1) -1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) 1)) -1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/2))) -1)
(*.f64 1/2 (*.f64 x x))
(*.f64 x (*.f64 1/2 x))

eval31.0ms (0.6%)

Compiler

Compiled 1367 to 954 computations (30.2% saved)

prune14.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1010101
Fresh000
Picked022
Done022
Total1014105
Accurracy
100.0%
Counts
105 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.4%
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
✓54.7%
(-.f64 1 (cos.f64 x))
✓99.4%
(*.f64 (/.f64 x 2) x)
✓100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes10.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
Calls

3 calls:

5.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 1 (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 1 (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes9.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
(*.f64 (/.f64 x 2) x)
(-.f64 (+.f64 1 (*.f64 1/2 (*.f64 x x))) 1)
(-.f64 1 (cos.f64 x))
(pow.f64 (*.f64 x (sqrt.f64 1/2)) 2)
Outputs
(*.f64 (/.f64 x 2) x)
Calls

3 calls:

4.0ms
x
2.0ms
(-.f64 1 (cos.f64 x))
2.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 1 (cos.f64 x))
99.4%1(cos.f64 x)
Compiler

Compiled 40 to 28 computations (30% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 x x))
Outputs
(*.f64 1/2 (*.f64 x x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01347
11647
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 x 2) x)
(*.f64 1/2 (*.f64 x x))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x 2)))
(*.f64 (/.f64 x 2) x)
(*.f64 x (/.f64 x 2))
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 20 to 14 computations (30% saved)

soundness488.0ms (10.2%)

Rules
1386×pow1
1278×add-exp-log
1278×log1p-expm1-u
1278×expm1-log1p-u
1252×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114011
2169111
093800
1231740
2679670
33306670
093800
1231740
2679670
33306670
01234
124834
2288134
0791097
1193777
2677769
32251769
47376769
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 317 to 193 computations (39.1% saved)

end57.0ms (1.2%)

Compiler

Compiled 68 to 46 computations (32.4% saved)

Profiling

Loading profile data...