Details

analyze4.0ms (0.2%)

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
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)

sample989.0ms (58.3%)

Results

977.0ms	8256×	body	256	valid
1.0ms	19×	body	256	invalid

Bogosity

preprocess134.0ms (7.9%)

Algorithm

2×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`fma-def`
4×	`associate-+l-`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	19	21
3	21	21
4	26	21
5	30	21
6	35	21
0	1	1

Stop Event

1×	saturated
1×	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)

simplify40.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
6×	`+-commutative`
4×	`fma-def`
4×	`associate-+l-`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	16	21
2	19	21
3	21	21
4	26	21
5	30	21
6	35	21

Stop Event

1×

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 (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.39%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.39%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize12.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.38%	(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:

Time	Variable		Point	Expression
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))

rewrite57.0ms (3.4%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2003	17

Stop Event

1×	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))))))

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))))))

simplify69.0ms (4.1%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	89	781
1	203	749
2	704	743
3	3008	725
4	7998	725

Stop Event

1×	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)))))

eval47.0ms (2.8%)

Compiler: Compiled 706 to 419 computations (40.7% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Error

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.78%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
▶	1.69%	(neg.f64 (neg.f64 (log.f64 x)))
✓	0.39%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))
▶	100%	(neg.f64 (log.f64 -1))

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize4.0ms (0.2%)

Compiler: Compiled 7 to 7 computations (0% saved)

localize7.0ms (0.4%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (neg.f64 (log.f64 x)) x)

Compiler

Compiled 18 to 5 computations (72.2% saved)

series8.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(-.f64 (neg.f64 (log.f64 x)) x)
3.0ms	x	@	-inf	(-.f64 (neg.f64 (log.f64 x)) x)
1.0ms	x	@	inf	(-.f64 (neg.f64 (log.f64 x)) x)

rewrite70.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1432×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	150	11
2	2069	11

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(-.f64 (neg.f64 (log.f64 x)) x)

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

Outputs

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

simplify60.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-+r+`
1098×	`associate-r`
928×	`associate-+l+`
884×	`associate-l`
634×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1120
1	301	1034
2	1139	1018
3	5492	1018

Stop Event

1×	node limit

Counts

50 → 56

Calls

Call 1

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

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

eval10.0ms (0.6%)

Compiler: Compiled 632 to 303 computations (52.1% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	56	4	60

Error

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.78%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.69%	(neg.f64 (neg.f64 (log.f64 x)))
▶	97.73%	(neg.f64 (neg.f64 x))
✓	0.39%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize3.0ms (0.2%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.78%	(neg.f64 (-.f64 (neg.f64 (log.f64 x)) x))
✓	1.69%	(neg.f64 (neg.f64 (log.f64 x)))
✓	97.73%	(neg.f64 (neg.f64 x))
✓	0.39%	(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes47.0ms (2.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(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)))

Outputs
(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))

Calls

5 calls:

30.0ms	(log.f64 (-.f64 (/.f64 1 x) 1))
4.0ms	(-.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

Error	Segments	Branch
0.39%	1	`x`
0.39%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 1 x) 1)))`
0.39%	1	`(log.f64 (-.f64 (/.f64 1 x) 1))`
0.39%	1	`(-.f64 (/.f64 1 x) 1)`
0.39%	1	`(/.f64 1 x)`

Compiler

Compiled 51 to 39 computations (23.5% saved)

regimes47.0ms (2.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(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:

46.0ms

Results

Error	Segments	Branch
0.78%	1	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes4.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))
(neg.f64 (neg.f64 (log.f64 x)))

Outputs
(neg.f64 (neg.f64 (log.f64 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.69%	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes4.0ms (0.2%)

Accuracy

Total -1.5b remaining (-2.3%)

Threshold costs -1.5b (-2.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (neg.f64 x))
(neg.f64 (log.f64 -1))

Outputs
(neg.f64 (neg.f64 x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
97.73%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
20×	`*-commutative`
16×	`distribute-lft-neg-in`
14×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	34	38
2	55	38
3	75	38
4	79	38

Stop Event

1×	done
1×	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 (neg.f64 x))

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) x)
(+.f64 x (log.f64 x))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(neg.f64 (neg.f64 x))
x

Compiler

Compiled 18 to 13 computations (27.8% saved)

soundness0.0ms (0%)

end43.0ms (2.6%)

Compiler: Compiled 15 to 9 computations (40% saved)

Details

analyze4.0ms (0.2%)

sample989.0ms (58.3%)

preprocess134.0ms (7.9%)

simplify40.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize12.0ms (0.7%)

series1.0ms (0%)

rewrite57.0ms (3.4%)

simplify69.0ms (4.1%)

eval47.0ms (2.8%)

prune8.0ms (0.5%)

localize4.0ms (0.2%)

localize7.0ms (0.4%)

localize8.0ms (0.5%)

series8.0ms (0.5%)

rewrite70.0ms (4.1%)

simplify60.0ms (3.5%)

eval10.0ms (0.6%)

prune8.0ms (0.5%)

localize3.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes47.0ms (2.8%)

regimes47.0ms (2.8%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

simplify7.0ms (0.4%)

soundness0.0ms (0%)

end43.0ms (2.6%)

Profiling