Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample2.6s (83.7%)

Results

1.5s	2762×	body	1024	valid
547.0ms	3888×	body	256	valid
284.0ms	1335×	body	512	valid
236.0ms	271×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 1 x))

Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (+.f64 1 x))

Outputs
(log.f64 (+.f64 1 x))
(log1p.f64 x)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.01%	(log1p.f64 x)
▶	58.33%	(log.f64 (+.f64 1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.36%	(log.f64 (+.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log.f64 (+.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (+.f64 1 x))
0.0ms	x	@	inf	(log.f64 (+.f64 1 x))

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`add-sqr-sqrt`
1284×	`*-un-lft-identity`
1196×	`add-cube-cbrt`
1184×	`add-cbrt-cube`
1172×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	136	5
2	1590	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f64 (+.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 x)))))

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1208×	`distribute-lft-in`
1016×	`distribute-rgt-in`
838×	`associate-+r+`
776×	`associate-r`
584×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	568
1	242	492
2	809	492
3	3240	492

Stop Event

1×	node limit

Counts

32 → 55

Calls

Call 1

Inputs
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 0 (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 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 x (*.f64 x -1/2) (fma.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)))
(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 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 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 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 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 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 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 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.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 (log.f64 -1) (/.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 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) 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 (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 (log.f64 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 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 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 0 (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (-.f64 (*.f64 x x) x)))
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 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 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) 1)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(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)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(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)
(log1p.f64 x)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 x)
0.0ms	x	@	0	(log1p.f64 x)
0.0ms	x	@	inf	(log1p.f64 x)

rewrite99.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`associate-r`
704×	`add-sqr-sqrt`
694×	`*-un-lft-identity`
656×	`pow1`
642×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	78	5
2	884	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(log1p.f64 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log1p.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 x)))))))

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-r`
1236×	`associate-l`
818×	`distribute-lft-out`
642×	`associate-/r*`
604×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1310
1	332	1102
2	994	1078
3	5251	1078

Stop Event

1×	node limit

Counts

50 → 98

Calls

Call 1

Inputs
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 (+.f64 (log1p.f64 x) 1) -1)
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 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 x (*.f64 x -1/2) (fma.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)))
(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 x (*.f64 x -1/2) (fma.f64 1/3 (pow.f64 x 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 (/.f64 1 x) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 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 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 (/.f64 -1/2 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 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)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.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 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (log.f64 -1) (-.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 (/.f64 1/2 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 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1)) (-.f64 (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 -1/2 (*.f64 x x)) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 (+.f64 (log1p.f64 x) 1) -1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(-.f64 (+.f64 (log1p.f64 x) 1) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (log1p.f64 x) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 1 (log1p.f64 x))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (fabs.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(.f64 (cbrt.f64 (log1p.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (sqrt.f64 (log1p.f64 x)))) (sqrt.f64 (sqrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (cbrt.f64 (log1p.f64 x)) (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 x)) (.f64 (fabs.f64 (cbrt.f64 (log1p.f64 x))) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) 3))
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4))) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(.f64 (cbrt.f64 (log1p.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 4)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 x)))) (sqrt.f64 (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (log1p.f64 x))))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 3/2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 x) 3) 1/6))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(/.f64 (-.f64 (*.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log1p.f64 x) 1)) 1) (+.f64 (+.f64 (log1p.f64 x) 1) 1))
(/.f64 (*.f64 (+.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) 0)) (+.f64 (log1p.f64 x) 2))
(/.f64 (+.f64 2 (log1p.f64 x)) (/.f64 (+.f64 2 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (+.f64 2 (log1p.f64 x)) (+.f64 2 (log1p.f64 x))) (log1p.f64 x))
(pow.f64 (log1p.f64 x) 1)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)

eval72.0ms (2.3%)

Compiler: Compiled 1813 to 1049 computations (42.1% saved)

prune17.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	152	3	155

Error

Counts

155 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(log1p.f64 x)
▶	63.86%	(log.f64 x)
	35.46%	x

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(log1p.f64 x)
✓	63.86%	(log.f64 x)
	35.46%	x

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(log1p.f64 x)
✓	63.86%	(log.f64 x)
	35.46%	x

Compiler

Compiled 8 to 5 computations (37.5% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.01%	(log1p.f64 x)
✓	63.86%	(log.f64 x)
	35.46%	x

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(log.f64 x)
(log1p.f64 x)
(log.f64 (+.f64 1 x))

Outputs
(log1p.f64 x)

Calls

3 calls:

6.0ms	x
2.0ms	(log.f64 (+.f64 1 x))
2.0ms	(+.f64 1 x)

Results

Error	Segments	Branch
0.01%	1	`x`
0.01%	1	`(log.f64 (+.f64 1 x))`
0.01%	1	`(+.f64 1 x)`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -60.9b remaining (-4644%)

Threshold costs -60.9b (-4644%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log.f64 x)

Outputs
x
(log.f64 x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
2.05%	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.28530243803750976	156178.46190758096

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 72 to 52 computations (27.8% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 x)
(if (<=.f64 x 8376695306909123/4503599627370496) x (log.f64 x))
x

Outputs
(log1p.f64 x)
(if (<=.f64 x 8376695306909123/4503599627370496) x (log.f64 x))
x

Compiler

Compiled 13 to 8 computations (38.5% saved)

soundness12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`log1p-def`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	11	5

Stop Event

1×

saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

end18.0ms (0.6%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

Details

analyze3.0ms (0.1%)

sample2.6s (83.7%)

preprocess4.0ms (0.1%)

simplify70.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.8%)

simplify48.0ms (1.5%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite99.0ms (3.2%)

simplify60.0ms (1.9%)

eval72.0ms (2.3%)

prune17.0ms (0.5%)

localize3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes11.0ms (0.4%)

regimes6.0ms (0.2%)

bsearch15.0ms (0.5%)

simplify6.0ms (0.2%)

soundness12.0ms (0.4%)

end18.0ms (0.6%)

Profiling