Hyperbolic arc-(co)tangent

Time bar (total: 6.3s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample3.0s (47.3%)

Results
1.8s4136×body1024valid
509.0ms2002×body512valid
393.0ms418×body2048valid
244.0ms1700×body256valid
1.0ms14×body256invalid
Bogosity

preprocess353.0ms (5.6%)

Algorithm
2×egg-herbie
Rules
1866×fma-def
1222×distribute-lft-in
986×distribute-rgt-in
932×unsub-neg
766×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
511025
615425
727325
859025
9106625
10150825
11190025
12209025
13222425
14266625
15387025
16519125
17599525
18628925
19641425
20653425
21659225
22701625
23727225
24757325
25770925
26775725
27777725
28778525
29778525
30778525
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify363.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
1866×fma-def
1222×distribute-lft-in
986×distribute-rgt-in
932×unsub-neg
766×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
511025
615425
727325
859025
9106625
10150825
11190025
12209025
13222425
14266625
15387025
16519125
17599525
18628925
19641425
20653425
21659225
22701625
23727225
24757325
25770925
26775725
27777725
28778525
29778525
30778525
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New123
Fresh101
Picked000
Done000
Total224
Accurracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize327.0ms (5.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(log1p.f64 x)
✓100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓9.1%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
1.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
0.0ms
x
@inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
0.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite73.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
2050×pow1
1902×add-exp-log
1898×log1p-expm1-u
1898×expm1-log1p-u
256×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01362
127754
2371854
Stop Event
1×node limit
Counts
4 → 144
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(log1p.f64 x)
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))

simplify87.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
780×associate-/l*
684×fma-neg
520×cancel-sign-sub-inv
510×associate-+l+
508×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03102108
18392014
221621986
379631986
Stop Event
1×node limit
Counts
192 → 217
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (+.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 -1 (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1))))
(*.f64 (+.f64 x -1) (/.f64 1 (+.f64 x -1)))
(*.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(neg.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (+.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
(+.f64 1 (*.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -2 x) (/.f64 (/.f64 -2 x) x)) (/.f64 -2 (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2 x) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5)))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2 x (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 -1 (log.f64 -1))
(neg.f64 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(fma.f64 -1 (log.f64 -1) (/.f64 2 x))
(-.f64 (/.f64 2 x) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 -1 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 2/3 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (log.f64 -1))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (-.f64 (/.f64 2 x) (log.f64 -1))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 -1) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (/.f64 2/5 (pow.f64 x 5))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 (*.f64 x x) -1/2 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
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(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log1p.f64 x)
(log.f64 (+.f64 1 x))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (log1p.f64 x)) 1))
(log1p.f64 x)

eval73.0ms (1.2%)

Compiler

Compiled 3326 to 2223 computations (33.2% saved)

prune30.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2134217
Fresh000
Picked022
Done000
Total2136219
Accurracy
100.0%
Counts
219 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶97.6%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
▶99.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶98.5%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶5.3%
(*.f64 1/2 0)
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶97.6%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
▶99.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶98.5%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶5.3%
(*.f64 1/2 0)
Compiler

Compiled 100 to 82 computations (18% saved)

localize85.0ms (1.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(-.f64 x (log1p.f64 (neg.f64 x)))
✓99.8%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 73 to 49 computations (32.9% saved)

series4.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 2/3 (pow.f64 x 3))
0.0ms
x
@inf
(-.f64 x (log1p.f64 (neg.f64 x)))
0.0ms
x
@-inf
(-.f64 x (log1p.f64 (neg.f64 x)))

rewrite69.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1192×prod-diff
920×log-prod
556×fma-def
546×pow-prod-down
470×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
123924
2287524
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
(-.f64 x (log1p.f64 (neg.f64 x)))
Outputs
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 x (neg.f64 (log1p.f64 x)))
(+.f64 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) x)
(+.f64 0 (-.f64 x (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(*.f64 (-.f64 x (log1p.f64 x)) 1)
(*.f64 1 (-.f64 x (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (log1p.f64 x)) 2) (*.f64 x (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (log1p.f64 x)) 2)) (-.f64 x (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 x (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 x (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log1p.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (+.f64 x 1))))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 x (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (log1p.f64 x))))
(fma.f64 x 1 (neg.f64 (log1p.f64 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 x (neg.f64 (log1p.f64 x)))
(fma.f64 1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 -1 (log1p.f64 x) x)
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))

simplify89.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1670×fma-def
1498×fma-neg
526×associate-+l+
458×associate-+r+
440×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02922758
17042536
218462530
365282530
Stop Event
1×node limit
Counts
140 → 167
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) x)
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) x))
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) x)))
x
(+.f64 (log.f64 (/.f64 -1 x)) x)
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) x))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) x)))
(+.f64 0 (*.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 4/9) 1/2)
(pow.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 2/3)) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 2/3))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3))) 2))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 x (neg.f64 (log1p.f64 x)))
(+.f64 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 -1 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) x)
(+.f64 0 (-.f64 x (log1p.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (log1p.f64 x))))))
(*.f64 (-.f64 x (log1p.f64 x)) 1)
(*.f64 1 (-.f64 x (log1p.f64 x)))
(*.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (+.f64 x (log1p.f64 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (fma.f64 x x (-.f64 (pow.f64 (neg.f64 (log1p.f64 x)) 2) (*.f64 x (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (neg.f64 (log1p.f64 x)) 2)) (-.f64 x (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 x (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 x (log1p.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 x (log1p.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log1p.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 1 (+.f64 x 1))))
(log.f64 (*.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 x)) (+.f64 x 1)))
(cbrt.f64 (pow.f64 (-.f64 x (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 x (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 x (log1p.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 x (log1p.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 x (log1p.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (log1p.f64 x)))) 2))
(log1p.f64 (expm1.f64 (-.f64 x (log1p.f64 x))))
(fma.f64 x 1 (neg.f64 (log1p.f64 x)))
(fma.f64 x 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 x (log1p.f64 x)) 1 (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 x (neg.f64 (log1p.f64 x)))
(fma.f64 1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (-.f64 x (log1p.f64 x)) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log1p.f64 x))) 2) (cbrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 -1 (log1p.f64 x) x)
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 2 x (*.f64 1/2 (*.f64 x x)))
(fma.f64 2 x (*.f64 (*.f64 1/2 x) x))
(*.f64 x (+.f64 2 (*.f64 x 1/2)))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 1/2 (*.f64 x x) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/3))))
(+.f64 (*.f64 2 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 4) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 2 x (fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/4 (pow.f64 x 4)))))
(fma.f64 2 x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/3)))))
x
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) x)
(fma.f64 -1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x)
(-.f64 x (+.f64 (log.f64 -1) (log.f64 x)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))) x))
(+.f64 (/.f64 1 x) (fma.f64 -1 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x))
(+.f64 x (-.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 x (-.f64 (-.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 x)))
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(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 x (log1p.f64 x))) (sqrt.f64 (-.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 x x (*.f64 (log1p.f64 x) (+.f64 x (log1p.f64 x)))))
(fma.f64 -1 x (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 -1 x (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 -1 (log1p.f64 x) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (+.f64 x (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log1p.f64 x) 2)) (+.f64 x (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) 2) (cbrt.f64 (neg.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log1p.f64 x))) (+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x)))
(-.f64 x (log1p.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) x)
(-.f64 x (log1p.f64 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 x -1 (neg.f64 (log1p.f64 x)))
(-.f64 (neg.f64 (log1p.f64 x)) x)

eval44.0ms (0.7%)

Compiler

Compiled 2465 to 1325 computations (46.2% saved)

prune23.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1652167
Fresh000
Picked134
Done022
Total1667173
Accurracy
100.0%
Counts
173 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓97.6%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
✓99.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶97.6%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
✓98.5%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶18.7%
(*.f64 1/2 x)
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓97.6%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
✓99.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶97.6%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
✓98.5%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶18.7%
(*.f64 1/2 x)
Compiler

Compiled 120 to 96 computations (20% saved)

localize65.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 34 to 25 computations (26.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1798×pow1
1680×add-exp-log
1678×log1p-expm1-u
1678×expm1-log1p-u
1654×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
117815
2231315
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(*.f64 x (+.f64 2 (*.f64 x 1/2)))
Outputs
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2)))) (-.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))
(/.f64 (*.f64 x (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8)) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (*.f64 x (-.f64 4 (*.f64 1/4 (*.f64 x x)))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) x) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) x) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 x 2 (*.f64 x (*.f64 x 1/2)))
(fma.f64 2 x (*.f64 x (*.f64 x 1/2)))

simplify58.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1054×associate-*r/
818×fma-def
656×fma-neg
654×times-frac
602×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
087688
1252668
21054648
34626642
Stop Event
1×node limit
Counts
36 → 37
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2)))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/2 2))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2)))) (-.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))
(/.f64 (*.f64 x (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8)) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (*.f64 x (-.f64 4 (*.f64 1/4 (*.f64 x x)))) (+.f64 2 (*.f64 -1/2 x)))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) x) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) x) (+.f64 2 (*.f64 -1/2 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(fma.f64 x 2 (*.f64 x (*.f64 x 1/2)))
(fma.f64 2 x (*.f64 x (*.f64 x 1/2)))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x 2))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 2))
(+.f64 (*.f64 (*.f64 x 2) 1) (*.f64 (*.f64 x (*.f64 x 1/2)) 1))
(*.f64 x (fma.f64 x 1/2 2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/2 2))) 1)
(*.f64 x (fma.f64 x 1/2 2))
(/.f64 (+.f64 (pow.f64 (*.f64 x 2) 3) (pow.f64 (*.f64 x (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (-.f64 (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2))) (*.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (pow.f64 (*.f64 x (*.f64 x 1/2)) 3)) (+.f64 (*.f64 (*.f64 x x) 4) (*.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 2 x)))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 3) 8)) (fma.f64 x (*.f64 4 x) (*.f64 x (*.f64 (*.f64 x 1/2) (*.f64 x (-.f64 (*.f64 x 1/2) 2))))))
(/.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 3) 8)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/4) 4)) (pow.f64 x 3)))
(/.f64 (fma.f64 1/8 (pow.f64 x 6) (*.f64 (pow.f64 x 3) 8)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x 2) (*.f64 x 2)) (*.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 x (*.f64 x 1/2)))) (-.f64 (*.f64 x 2) (*.f64 x (*.f64 x 1/2))))
(*.f64 x (fma.f64 x 1/2 2))
(/.f64 (*.f64 x (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8)) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 (+.f64 4 (fma.f64 1/4 (*.f64 x x) (neg.f64 x))) x))
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (+.f64 4 (-.f64 (*.f64 x (*.f64 x 1/4)) x))) x)
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (+.f64 (/.f64 (fma.f64 x (*.f64 x 1/4) 4) x) -1))
(/.f64 (*.f64 x (-.f64 4 (*.f64 1/4 (*.f64 x x)))) (+.f64 2 (*.f64 -1/2 x)))
(*.f64 x (fma.f64 x 1/2 2))
(/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) 8) x) (+.f64 4 (-.f64 (*.f64 1/4 (*.f64 x x)) x)))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (/.f64 (+.f64 4 (fma.f64 1/4 (*.f64 x x) (neg.f64 x))) x))
(*.f64 (/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (+.f64 4 (-.f64 (*.f64 x (*.f64 x 1/4)) x))) x)
(/.f64 (fma.f64 1/8 (pow.f64 x 3) 8) (+.f64 (/.f64 (fma.f64 x (*.f64 x 1/4) 4) x) -1))
(/.f64 (*.f64 (-.f64 4 (*.f64 1/4 (*.f64 x x))) x) (+.f64 2 (*.f64 -1/2 x)))
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 3)
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(*.f64 x (fma.f64 x 1/2 2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 2))) 2)
(*.f64 x (fma.f64 x 1/2 2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 2))
(*.f64 x (fma.f64 x 1/2 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 2)))
(*.f64 x (fma.f64 x 1/2 2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 2)) 3))
(*.f64 x (fma.f64 x 1/2 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(*.f64 x (fma.f64 x 1/2 2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 2) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x 1/2 2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 2))))
(*.f64 x (fma.f64 x 1/2 2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 2))))
(*.f64 x (fma.f64 x 1/2 2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 2))))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 x 2 (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 2))
(fma.f64 2 x (*.f64 x (*.f64 x 1/2)))
(*.f64 x (fma.f64 x 1/2 2))

eval12.0ms (0.2%)

Compiler

Compiled 578 to 434 computations (24.9% saved)

prune10.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New37037
Fresh000
Picked022
Done055
Total37744
Accurracy
100.0%
Counts
44 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓97.6%
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
✓99.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓97.6%
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
✓98.5%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓18.7%
(*.f64 1/2 x)
Compiler

Compiled 129 to 101 computations (21.7% saved)

regimes22.0ms (0.4%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

13.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 101 to 78 computations (22.8% saved)

regimes14.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Calls

4 calls:

5.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 93 to 74 computations (20.4% saved)

regimes11.0ms (0.2%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x (+.f64 2 (*.f64 x 1/2))))
(*.f64 1/2 (-.f64 x (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (*.f64 2 x))
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
98.5%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 57 to 44 computations (22.8% saved)

regimes4.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 x)
Outputs
(*.f64 1/2 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
18.7%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
Outputs
(*.f64 1/2 0)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
5.3%1x
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
8×+-commutative
6×sub-neg
4×neg-mul-1
4×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02277
13477
23977
34277
44377
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 x)
(*.f64 1/2 0)
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (+.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 x)
(*.f64 1/2 0)
0
Compiler

Compiled 33 to 27 computations (18.2% saved)

soundness1.3s (21.3%)

Rules
2050×pow1
1902×add-exp-log
1898×log1p-expm1-u
1898×expm1-log1p-u
1866×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01329
12225
23025
34625
47425
511025
615425
727325
859025
9106625
10150825
11190025
12209025
13222425
14266625
15387025
16519125
17599525
18628925
19641425
20653425
21659225
22701625
23727225
24757325
25770925
26775725
27777725
28778525
29778525
30778525
01329
12225
23025
34625
47425
511025
615425
727325
859025
9106625
10150825
11190025
12209025
13222425
14266625
15387025
16519125
17599525
18628925
19641425
20653425
21659225
22701625
23727225
24757325
25770925
26775725
27777725
28778525
29778525
30778525
01362
127754
2371854
03102108
18392014
221621986
379631986
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 219 to 149 computations (32% saved)

end86.0ms (1.4%)

Compiler

Compiled 84 to 68 computations (19% saved)

Profiling

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