Hyperbolic arc-(co)tangent

Time bar (total: 5.2s)

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)

sample3.2s (61.5%)

Results
2.1s4034×body1024valid
525.0ms2126×body512valid
284.0ms459×body2048valid
204.0ms1637×body256valid
1.0ms8×body256invalid
Bogosity

preprocess314.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
1684×fma-def
1428×associate-+r+
1246×fma-neg
830×unsub-neg
698×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01962
13850
26450
312850
426450
571250
6197650
7309850
8456050
9558850
10584950
11605750
12619250
13630350
14659450
15677850
16686550
17717350
18729350
19732150
20734150
21734950
22734950
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 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))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify338.0ms (6.6%)

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))))
▶7.4%
(*.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))))
▶7.4%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 40 to 32 computations (20% saved)

localize214.0ms (4.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓7.4%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1274×unpow-prod-down
896×log-prod
524×pow-prod-down
432×pow-prod-up
400×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0942
118838
2252438
Stop Event
1×node limit
Counts
2 → 177
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
Outputs
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (-.f64 1 x) (fma.f64 x (-.f64 x 1) 1))))
(-.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))) (*.f64 1/2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (-.f64 x 1) 1) (-.f64 1 x))))
(-.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1)) (*.f64 2 (log1p.f64 (neg.f64 x))))
(-.f64 (log.f64 (neg.f64 (fma.f64 -1 x -1))) (log.f64 (neg.f64 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (-.f64 1 x)))) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (*.f64 1/3 (log1p.f64 (neg.f64 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 3 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 2 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 -1 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 1/3 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) 2) (*.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 (neg.f64 x)) 2)) (+.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2)
(neg.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.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 1 x))))
(*.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 1 x))))
(*.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (fma.f64 -1 x -1) (pow.f64 (/.f64 1 (neg.f64 (-.f64 1 x))) 1))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (pow.f64 (-.f64 1 x) -1/2) (/.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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.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 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.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)))
(*.f64 (pow.f64 (E.f64) (log1p.f64 x)) (pow.f64 (E.f64) (neg.f64 (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (pow.f64 (E.f64) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(*.f64 (pow.f64 1 1/3) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2) 1) (pow.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 x) -1/2) 1) (pow.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) 1) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))) 1))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) 1) (+.f64 1 x))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) 1) (+.f64 1 (fma.f64 x x x)))
(*.f64 (pow.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (E.f64)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (pow.f64 (sqrt.f64 (E.f64)) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) (+.f64 1 x)) 1/3) (cbrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) -1) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) -1) (pow.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) -1/2) -1) (pow.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 x) 2)) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) -1) (/.f64 1 (fma.f64 x (-.f64 x 1) 1)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.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)) 2) 1/2)
(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 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.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 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))

simplify112.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
1354×times-frac
716×log-prod
536×cube-prod
532×associate-*r*
530×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05347267
113906973
249696663
Stop Event
1×node limit
Counts
201 → 289
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 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
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(pow.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1)
(pow.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) -1)
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.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 (neg.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
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 (*.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 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
(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 (*.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 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (+.f64 (/.f64 2/5 (pow.f64 x 5)) (/.f64 2/3 (pow.f64 x 3))))
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))))
-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))))
(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 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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))))
(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 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 0)
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (log1p.f64 x)) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(fma.f64 1/2 (log1p.f64 x) (log.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (-.f64 1 x)))))
(fma.f64 (log1p.f64 x) 1/2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (/.f64 1 (neg.f64 (-.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (neg.f64 (-.f64 1 x))))
(-.f64 (log.f64 (fma.f64 -1 x -1)) (log.f64 (+.f64 x -1)))
(+.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 x))) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x)))))
(+.f64 (*.f64 2/3 (log1p.f64 x)) (log.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (cbrt.f64 (+.f64 x 1)))))
(fma.f64 2/3 (log1p.f64 x) (log.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (-.f64 1 x))))
(+.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 1 (log1p.f64 x) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (log1p.f64 (neg.f64 x)) 1))) (fma.f64 (neg.f64 (log1p.f64 (neg.f64 x))) 1 (*.f64 (log1p.f64 (neg.f64 x)) 1)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2) (*.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 x))) 2))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (neg.f64 x)))) (sqrt.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 x))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) (*.f64 (log1p.f64 (neg.f64 x)) 0))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) -2)) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x)))))
(+.f64 (*.f64 -2 (log.f64 (cbrt.f64 (-.f64 1 x)))) (log.f64 (/.f64 (+.f64 x 1) (cbrt.f64 (-.f64 1 x)))))
(fma.f64 -2 (log.f64 (cbrt.f64 (-.f64 1 x))) (-.f64 (log1p.f64 x) (log.f64 (cbrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 1 x) -1/2)) (log.f64 (/.f64 (+.f64 x 1) (sqrt.f64 (-.f64 1 x)))))
(fma.f64 -1/2 (log1p.f64 (neg.f64 x)) (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 (-.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))) (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(+.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/3) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/3 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (-.f64 1 x) 2)))))
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(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 2)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))
(/.f64 (+.f64 x 1) (-.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 x 1) (-.f64 1 x))

eval107.0ms (2.1%)

Compiler

Compiled 5337 to 3566 computations (33.2% saved)

prune41.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2872289
Fresh000
Picked202
Done000
Total2892291
Accurracy
100.0%
Counts
291 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶99.9%
(*.f64 1/2 (*.f64 2 x))
▶100.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
▶99.9%
(*.f64 1/2 (*.f64 2 x))
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize69.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 49 to 38 computations (22.4% saved)

series1.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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 2/3 (pow.f64 x 3))

rewrite51.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1204×pow1
1126×add-exp-log
1126×log1p-expm1-u
1126×expm1-log1p-u
1102×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2157113
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
Outputs
(-.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify56.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
2262×log-prod
952×exp-sum
820×distribute-rgt-in
818×distribute-lft-in
644×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039275
198209
2312143
31878143
46000143
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.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 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 2/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 2/3) (pow.f64 x 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 2/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(*.f64 2/3 (pow.f64 x 3))

eval4.0ms (0.1%)

Compiler

Compiled 187 to 159 computations (15% saved)

prune4.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New14014
Fresh000
Picked022
Done000
Total14216
Accurracy
100.0%
Counts
16 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
✓99.9%
(*.f64 1/2 (*.f64 2 x))
Compiler

Compiled 65 to 53 computations (18.5% saved)

regimes18.0ms (0.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 2 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 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
Calls

4 calls:

10.0ms
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)))
2.0ms
(/.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 79 to 63 computations (20.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -59.2b remaining (-92804.4%)

Threshold costs -59.2b (-92804.4%)

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

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.9%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
11844
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2 x) (*.f64 2/3 (pow.f64 x 3))))
(*.f64 1/2 (*.f64 2 x))
Compiler

Compiled 18 to 15 computations (16.7% saved)

soundness523.0ms (10.1%)

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
Compiler

Compiled 23 to 19 computations (17.4% saved)

end0.0ms (0%)

preprocess32.0ms (0.6%)

Compiler

Compiled 60 to 50 computations (16.7% saved)

Profiling

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