Details

Time bar (total: 2.0s)

analyze4.0ms (0.2%)

Algorithm
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%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample840.0ms (42.9%)

Results
798.0ms8256×body256valid
1.0ms18×body256invalid
Bogosity

preprocess13.0ms (0.7%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
fma-def
associate-+l-
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
21921
32121
42621
53021
63521
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify12.0ms (0.6%)

Algorithm
egg-herbie
Rules
sub-neg
+-commutative
fma-def
associate-+l-
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11621
21921
32121
42621
53021
63521
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))

eval1.0ms (0%)

Compiler

Compiled 15 to 13 computations (13.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

localize12.0ms (0.6%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (-.f64 (/.f64 1 x) 1))
Compiler

Compiled 24 to 19 computations (20.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite229.0ms (11.7%)

Algorithm
batch-egg-rewrite
Rules
1540×add-sqr-sqrt
1518×*-un-lft-identity
1418×add-cube-cbrt
1404×add-cbrt-cube
1390×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116317
2200317
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(log.f64 (-.f64 (/.f64 1 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 x))) 1))))))

simplify65.0ms (3.3%)

Algorithm
egg-herbie
Rules
1178×distribute-lft-in
1030×distribute-rgt-in
766×associate-+r-
710×associate-*r*
584×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089781
1203749
2704743
33008725
47998725
Stop Event
node limit
Counts
33 → 59
Calls
Call 1
Inputs
(*.f64 -1 (log.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(+.f64 0 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1)
(*.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1))
(log1p.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 x))) 1))
Outputs
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x)))
(fma.f64 -1 x (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 (log.f64 x)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) (log.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x (log.f64 x)))
(-.f64 (*.f64 x (+.f64 -1 (*.f64 x -1/2))) (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)) x))
(-.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x))) x)
(-.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/3) -1/2)) (log.f64 x)) x)
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 1 x))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 -1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 -1) (+.f64 (fma.f64 -1/2 (pow.f64 x -2) (/.f64 -1 x)) (/.f64 -1/3 (pow.f64 x 3))))
(+.f64 0 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2)) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x)))))) (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -3) -1)) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (+.f64 (pow.f64 x -2) (+.f64 1 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log.f64 (+.f64 1 (+.f64 (/.f64 1 x) (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -3))) (log1p.f64 (+.f64 (/.f64 1 x) (pow.f64 x -2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -2))) (log1p.f64 (/.f64 1 x)))
(-.f64 (+.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 1 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2) (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 1)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (sqrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 2)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 3)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(pow.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3) 1/3)
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 2))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x)))) 3))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(expm1.f64 (log1p.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(exp.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (expm1.f64 (neg.f64 (log.f64 x))))) 1))
(log.f64 (expm1.f64 (neg.f64 (log.f64 x))))
(log1p.f64 (-.f64 (expm1.f64 (neg.f64 (log.f64 x))) 1))
(log1p.f64 (+.f64 (expm1.f64 (neg.f64 (log.f64 x))) -1))
(log1p.f64 (+.f64 -1 (expm1.f64 (neg.f64 (log.f64 x)))))

eval12.0ms (0.6%)

Compiler

Compiled 706 to 419 computations (40.7% saved)

prune17.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New55459
Fresh000
Picked011
Done000
Total55560
Error
0b
Counts
60 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
32.5b
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
0.9b
(neg.f64 (neg.f64 (log.f64 x)))
0.0b
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
64.0b
(neg.f64 (log.f64 -1))
Compiler

Compiled 37 to 31 computations (16.2% saved)

localize4.0ms (0.2%)

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0.3%)

Compiler

Compiled 11 to 4 computations (63.6% saved)

localize25.0ms (1.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (/.f64 1 x))
0.0b
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
31.5b
(log.f64 (+.f64 (pow.f64 x -2) -1))
Compiler

Compiled 49 to 39 computations (20.4% saved)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(log.f64 (+.f64 (pow.f64 x -2) -1))
0.0ms
x
@inf
(log.f64 (+.f64 (pow.f64 x -2) -1))
0.0ms
x
@-inf
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
0.0ms
x
@-inf
(log.f64 (+.f64 (pow.f64 x -2) -1))
0.0ms
x
@0
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))

rewrite145.0ms (7.4%)

Algorithm
batch-egg-rewrite
Rules
1046×*-commutative
1004×associate-*r/
690×associate-*l/
558×distribute-lft-in
544×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
127661
2331461
Stop Event
node limit
Counts
3 → 157
Calls
Call 1
Inputs
(log.f64 (+.f64 (pow.f64 x -2) -1))
(-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))
(log1p.f64 (/.f64 1 x))
Outputs
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simplify177.0ms (9.1%)

Algorithm
egg-herbie
Rules
1050×+-commutative
928×associate-+r-
910×associate-+l-
770×fma-def
554×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043211657
1116711085
2636411049
Stop Event
node limit
Counts
193 → 278
Calls
Call 1
Inputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x)))) (*.f64 -1 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(*.f64 -1 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(/.f64 1 x)
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(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) 1) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (sqrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))) (sqrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (pow.f64 (log1p.f64 (/.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))) (cbrt.f64 (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) 1) (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 3) (pow.f64 (log1p.f64 (/.f64 1 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 2) (*.f64 (log1p.f64 (/.f64 1 x)) (+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))))
(pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 2))
(log.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))))
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x)))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x -2) -1) (+.f64 1 (/.f64 1 x))) 1))
(fma.f64 1 (log.f64 (+.f64 (pow.f64 x -2) -1)) (neg.f64 (log1p.f64 (/.f64 1 x))))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (neg.f64 (log1p.f64 (/.f64 1 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x -2) -1))) (neg.f64 (log1p.f64 (/.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 x)))
(*.f64 (log1p.f64 (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) (sqrt.f64 (log1p.f64 (/.f64 1 x))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 x))))
(pow.f64 (log1p.f64 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(log.f64 (+.f64 1 (/.f64 1 x)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))
Outputs
(*.f64 -2 (log.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))
(fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x))))
(fma.f64 -1/2 (pow.f64 x 4) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 4)) (+.f64 (*.f64 -1/3 (pow.f64 x 6)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (fma.f64 -1 (*.f64 x x) (*.f64 -2 (log.f64 x)))))
(fma.f64 -1/2 (pow.f64 x 4) (fma.f64 -1/3 (pow.f64 x 6) (-.f64 (*.f64 -2 (log.f64 x)) (*.f64 x x))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 (pow.f64 x 2)))
(-.f64 (log.f64 -1) (/.f64 1 (*.f64 x x)))
(+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x)))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 -1) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 4)))
(-.f64 (log.f64 -1) (-.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 -1 (*.f64 x x))))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/3 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (pow.f64 x 4))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 6))))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 4)) (/.f64 1/3 (pow.f64 x 6)))))
(-.f64 (*.f64 -2 (log.f64 x)) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x))) (*.f64 -1 (log.f64 x)))
(+.f64 (neg.f64 x) (neg.f64 (log.f64 x)))
(-.f64 (neg.f64 x) (log.f64 x))
(-.f64 (neg.f64 (log.f64 x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (log.f64 x)))) (*.f64 -1 (log.f64 x)))
(+.f64 (*.f64 (*.f64 x x) -1/2) (+.f64 (neg.f64 x) (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/2 (-.f64 (neg.f64 x) (log.f64 x)))
(-.f64 (-.f64 (*.f64 (*.f64 x x) -1/2) x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -2 (log.f64 x))))) (*.f64 -1 (log.f64 x)))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -2 (log.f64 x))))) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 x x) -1/2 (+.f64 (fma.f64 x -1 (*.f64 -1/3 (pow.f64 x 3))) (neg.f64 (log.f64 x))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 (neg.f64 (log.f64 x)) (fma.f64 x -1 (*.f64 -1/3 (pow.f64 x 3)))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(log.f64 -1)
(-.f64 (log.f64 -1) (/.f64 1 x))
(+.f64 (log.f64 -1) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (log.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 x (*.f64 -1 (log.f64 x)))
(+.f64 x (neg.f64 (log.f64 x)))
(-.f64 x (log.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))
(-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))))
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 (*.f64 x x) -1/2 x) (log.f64 x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) 0)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x -2) -1)))
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))) (*.f64 1 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2))))) (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1) (*.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x -2) -1))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x -2)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -4))) (log1p.f64 (pow.f64 x -2)))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log.f64 (+.f64 1 (+.f64 (pow.f64 x -2) (pow.f64 x -4)))))
(-.f64 (log.f64 (+.f64 -1 (pow.f64 x -6))) (log1p.f64 (+.f64 (pow.f64 x -2) (pow.f64 x -4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)))) 1)
(log.f64 (+.f64 -1 (pow.f64 x -2)))
(-.f64 (+.f64 0 (log.f64 (+.f64 -1 (pow.f64 x -4)))) (log1p.f64 (pow.f64 x -2)))
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(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 x))) 2)
(log1p.f64 (/.f64 1 x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 x))) 3)
(log1p.f64 (/.f64 1 x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3) 1/3)
(log1p.f64 (/.f64 1 x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 x)))
(log.f64 (+.f64 1 (/.f64 1 x)))
(log1p.f64 (/.f64 1 x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 x)) 3))
(log1p.f64 (/.f64 1 x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 x))))
(log1p.f64 (/.f64 1 x))

localize7.0ms (0.4%)

Compiler

Compiled 18 to 5 computations (72.2% saved)

eval182.0ms (9.3%)

Compiler

Compiled 8537 to 7170 computations (16% saved)

prune78.0ms (4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2780278
Fresh000
Picked011
Done044
Total2785283
Error
0b
Counts
283 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
32.5b
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
0.9b
(neg.f64 (neg.f64 (log.f64 x)))
0.0b
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
64.0b
(neg.f64 (log.f64 -1))
Compiler

Compiled 37 to 31 computations (16.2% saved)

regimes49.0ms (2.5%)

Counts
5 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x -2) -1)) (log1p.f64 (/.f64 1 x))))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
Calls

5 calls:

32.0ms
(-.f64 (/.f64 1 x) 1)
4.0ms
(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms
(/.f64 1 x)
4.0ms
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
4.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
0.0b1(log.f64 (-.f64 (/.f64 1 x) 1))
0.0b1(-.f64 (/.f64 1 x) 1)
0.0b1(/.f64 1 x)
Compiler

Compiled 60 to 47 computations (21.7% saved)

regimes4.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
Outputs
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes35.0ms (1.8%)

Accuracy

Total -63.1b remaining (-6849.4%)

Threshold costs -63.1b (-6849.4%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
Outputs
(neg.f64 (neg.f64 (log.f64 x)))
Calls

1 calls:

34.0ms
x
Results
ErrorSegmentsBranch
0.9b1x
Compiler

Compiled 10 to 8 computations (20% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
24×*-commutative
22×+-commutative
16×neg-sub0
14×sub-neg
14×neg-mul-1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01754
13354
25446
37846
49046
59246
Stop Event
done
saturated
Calls
Call 1
Inputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 -1))
Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
(neg.f64 (log.f64 (+.f64 (/.f64 1 x) -1)))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
(+.f64 (log.f64 x) (neg.f64 (neg.f64 x)))
(+.f64 x (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(neg.f64 (log.f64 -1))
Compiler

Compiled 20 to 16 computations (20% saved)

soundness0.0ms (0%)

end31.0ms (1.6%)

Compiler

Compiled 17 to 12 computations (29.4% saved)

Profiling

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