Details

analyze132.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.7s (72.3%)

Results

2.3s	2473×	body	8192	exit
1.1s	7758×	body	256	valid
173.0ms	238×	body	1024	valid
94.0ms	257×	body	512	valid
24.0ms	160×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess92.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1194×	`associate-/r/`
856×	`fma-def`
832×	`unswap-sqr`
784×	`*-commutative`
694×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	32	42
2	45	42
3	70	42
4	100	42
5	179	42
6	280	42
7	367	42
8	530	42
9	740	42
10	823	42
11	864	42
12	1012	42
13	1553	42
14	3299	42
15	6026	42
16	7316	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% 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

Accurracy

99.6%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	99.6%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize12.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 x))
✓	99.6%	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series45.0ms (0.9%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
22.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	0	(+.f64 1 (exp.f64 x))
0.0ms	x	@	inf	(+.f64 1 (exp.f64 x))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`add-sqr-sqrt`
1418×	`*-un-lft-identity`
1318×	`add-cube-cbrt`
1304×	`add-cbrt-cube`
1290×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	153	20
2	1770	20

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1376×	`times-frac`
1148×	`associate-/l*`
744×	`associate-+r+`
658×	`*-commutative`
656×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	140	1274
1	323	1180
2	1165	1000
3	3677	976

Stop Event

1×	node limit

Counts

62 → 89

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 1/2 (*.f64 x x) 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 x (fma.f64 1/2 (*.f64 x x) 2)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 (expm1.f64 x)))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x))))
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (expm1.f64 x))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))
(/.f64 (+.f64 2 (expm1.f64 x)) 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))
(.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))

localize8.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1072×	`associate-r`
840×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
784×	`pow1`
766×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	95	9
2	1063	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

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

Outputs

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-r`
1104×	`associate-l`
814×	`associate-+l+`
796×	`associate-+r+`
788×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	532
1	175	532
2	593	532
3	3643	502
4	6963	502

Stop Event

1×	node limit

Counts

36 → 42

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(-.f64 (+.f64 (log1p.f64 (exp.f64 x)) 1) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5/2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 4))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))

eval36.0ms (0.7%)

Compiler: Compiled 1890 to 861 computations (54.4% saved)

prune16.0ms (0.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	128	5	133

Accurracy

100.0%

Counts

133 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.5%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	79.0%	(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
✓	99.6%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
▶	92.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 50 to 36 computations (28% saved)

localize8.0ms (0.2%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

localize13.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 2 x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log.f64 (+.f64 2 x))
0.0ms	x	@	-inf	(log.f64 (+.f64 2 x))
0.0ms	x	@	0	(log.f64 (+.f64 2 x))

rewrite50.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1352×	`add-cube-cbrt`
1340×	`add-cbrt-cube`
1328×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	145	11
2	1765	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log.f64 (+.f64 2 x))

Outputs

(((+.f64 0 (log.f64 (+.f64 2 x))) (2)) ((+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x)))) (2)) ((+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x)))) (2)) ((-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (-.f64 x 2))))) (2)) ((-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x))) (2)) ((-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1) (2)) ((*.f64 (log.f64 (+.f64 2 x)) 1) (2)) ((*.f64 1 (log.f64 (+.f64 2 x))) (2)) ((*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x)))) (2)) ((*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x)))) (2)) ((pow.f64 (log.f64 (+.f64 2 x)) 1) (2)) ((pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2) (2)) ((pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3) (2)) ((pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (2)) ((cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x)))) (2)) ((exp.f64 (log.f64 (log.f64 (+.f64 2 x)))) (2)) ((exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1)) (2)) ((log1p.f64 (-.f64 (+.f64 2 x) 1)) (2)))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1206×	`distribute-lft-in`
1018×	`distribute-rgt-in`
882×	`associate-+l+`
840×	`associate-+r+`
728×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	695
1	234	609
2	788	609
3	3172	609

Stop Event

1×	node limit

Counts

33 → 61

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 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 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(log1p.f64 (-.f64 (+.f64 2 x) 1))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 -1/8 (*.f64 x 1/24))))))
(*.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 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 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 2 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 8/3 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))) (/.f64 8/3 (pow.f64 x 3))))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 2 x)))) (log.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) (log.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 2 x))))
(-.f64 (log.f64 (+.f64 8 (pow.f64 x 3))) (log.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (+.f64 4 (*.f64 x (-.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (-.f64 x 2) 4)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) 8)) (log.f64 (fma.f64 x (+.f64 x -2) 4)))
(-.f64 (log.f64 (-.f64 4 (*.f64 x x))) (log.f64 (-.f64 2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(log.f64 (+.f64 2 x))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(log.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(log.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(log.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(log.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(log.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(log.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 2 x))) 1))
(log.f64 (+.f64 2 x))
(log1p.f64 (-.f64 (+.f64 2 x) 1))
(log1p.f64 (+.f64 2 (-.f64 x 1)))
(log1p.f64 (+.f64 x 1))

localize14.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series3.0ms (0.1%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	x	@	inf	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/2 x) (log.f64 2))

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1708×	`add-cube-cbrt`
1692×	`add-cbrt-cube`
182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	188	13
2	2282	13

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))

Outputs

(((-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1) (2)) ((-.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2)))) (2)) ((*.f64 (fma.f64 1/2 x (log.f64 2)) 1) (2)) ((*.f64 1 (fma.f64 1/2 x (log.f64 2))) (2)) ((*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2)))) (2)) ((*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (2)) ((*.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (2)) ((*.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (2)) ((/.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)))) (2)) ((/.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)))) (2)) ((/.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2))) (2)) ((/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))) (2)) ((/.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 1/2 (*.f64 x (log.f64 2)))))) (2)) ((/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x))) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)))) (2)) ((/.f64 (neg.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (2)) ((pow.f64 (fma.f64 1/2 x (log.f64 2)) 1) (2)) ((pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (2)) ((pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3) (2)) ((pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (2)) ((log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))) (2)) ((cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3)) (2)) ((expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) (2)) ((exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2)))) (2)) ((exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1)) (2)) ((log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (2)) ((fma.f64 1/2 x (log.f64 2)) (2)) ((fma.f64 x 1/2 (log.f64 2)) (2)) ((fma.f64 1 (*.f64 1/2 x) (log.f64 2)) (2)) ((fma.f64 1 (log.f64 2) (*.f64 1/2 x)) (2)) ((fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x)) (2)) ((fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2)) (2)) ((fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x)) (2)) ((fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2)) (2)))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-r`
1134×	`associate-/r*`
1022×	`associate-l`
686×	`associate-+r+`
560×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1074
1	237	1044
2	812	976
3	4402	976

Stop Event

1×	node limit

Counts

40 → 45

Calls

Call 1

Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (-.f64 (.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x))))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))

Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))) 1)
(fma.f64 1/2 x (log.f64 2))
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (-.f64 (.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/2 x) (log.f64 2)) (-.f64 (.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (.f64 1/2 x)))) (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 1/2 (*.f64 x (log.f64 2))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 1/4 (.f64 x x))) (-.f64 (log.f64 2) (*.f64 1/2 x)))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/4)) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))
(/.f64 (fma.f64 (*.f64 x x) -1/4 (pow.f64 (log.f64 2) 2)) (fma.f64 x -1/2 (log.f64 2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))
(/.f64 (.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) 1) (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 -1/2 x)))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (+.f64 (log.f64 2) (.f64 x -1/2)) (.f64 x (*.f64 x 1/4))))
(/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (fma.f64 x -1/2 (log.f64 2)) (.f64 x (.f64 x 1/4))))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(fma.f64 1/2 x (log.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))
(fma.f64 1/2 x (log.f64 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 1/4))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))

eval37.0ms (0.7%)

Compiler: Compiled 1708 to 1123 computations (34.3% saved)

prune25.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	105	6	111

Accurracy

100.0%

Counts

111 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
▶	30.1%	(-.f64 (.f64 1/2 x) (.f64 x y))
▶	79.0%	(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.6%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	92.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 59 to 42 computations (28.8% saved)

localize11.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (+.f64 x 1))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (+.f64 x 1))
0.0ms	x	@	inf	(log1p.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x 1))

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`add-sqr-sqrt`
1296×	`*-un-lft-identity`
1206×	`add-cube-cbrt`
1194×	`add-cbrt-cube`
1182×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	140	11
2	1659	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1264×	`fma-def`
984×	`associate--l-`
750×	`associate-+l+`
744×	`*-commutative`
718×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	707
1	180	561
2	664	471
3	2526	459
4	6615	459

Stop Event

1×	node limit

Counts

27 → 48

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 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 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(log.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (log.f64 2)))
(fma.f64 x (fma.f64 x -1/8 1/2) (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x (fma.f64 x 1/24 -1/8)) (log.f64 2)))
(*.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 2 (/.f64 1 x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x)))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 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 2 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x))
(+.f64 (log.f64 x) (/.f64 2 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 8/3 (pow.f64 x 3)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (/.f64 2 x)) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (+.f64 (log.f64 x) (/.f64 -2 (*.f64 x x)))) (/.f64 8/3 (pow.f64 x 3)))
(+.f64 (log.f64 x) (+.f64 (/.f64 8/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 2 x))) 1)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 2 x)))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) (sqrt.f64 (log.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 2 x))) 2)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(log.f64 (+.f64 2 x))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(exp.f64 (log.f64 (log.f64 (+.f64 2 x))))
(+.f64 (+.f64 1 (log.f64 (+.f64 2 x))) -1)
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))

localize6.0ms (0.1%)

Compiler: Compiled 18 to 9 computations (50% saved)

eval27.0ms (0.5%)

Compiler: Compiled 729 to 455 computations (37.6% saved)

prune35.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	48	6	54

Accurracy

100.0%

Counts

54 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.5%	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	30.1%	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	79.0%	(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
✓	99.6%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.6%	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	92.0%	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 59 to 42 computations (28.8% saved)

regimes14.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

5.0ms	y
4.0ms	x
3.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 74 to 42 computations (43.2% saved)

regimes15.0ms (0.3%)

Accuracy

Total -44.4b remaining (-872.5%)

Threshold costs -44.4b (-872.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(-.f64 (log1p.f64 (+.f64 x 1)) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))

Outputs
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
92.0%	1	`x`
92.0%	1	`y`

Compiler

Compiled 47 to 27 computations (42.6% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
12×	`*-commutative`
10×	`sub-neg`
8×	`cancel-sign-sub-inv`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	57
1	26	57
2	42	57
3	48	57
4	52	57
5	53	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (.f64 1/2 x) (.f64 x y))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (.f64 x 1/2) (.f64 x y))

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness191.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-l`
912×	`associate-/r*`
776×	`fma-def`
728×	`associate-/l*`
628×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	21	21
2	32	21
3	51	21
4	69	21
5	113	21
6	188	21
7	238	21
8	329	21
9	490	21
10	544	21
11	571	21
12	650	21
13	931	21
14	1815	21
15	5167	21
16	6110	21

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end20.0ms (0.4%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

Details

analyze132.0ms (2.6%)

sample3.7s (72.3%)

preprocess92.0ms (1.8%)

simplify80.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series45.0ms (0.9%)

rewrite54.0ms (1.1%)

simplify65.0ms (1.3%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite50.0ms (1%)

simplify59.0ms (1.1%)

eval36.0ms (0.7%)

prune16.0ms (0.3%)

localize8.0ms (0.2%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite50.0ms (1%)

simplify50.0ms (1%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite58.0ms (1.1%)

simplify68.0ms (1.3%)

eval37.0ms (0.7%)

prune25.0ms (0.5%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite48.0ms (0.9%)

simplify65.0ms (1.3%)

localize6.0ms (0.1%)

eval27.0ms (0.5%)

prune35.0ms (0.7%)

regimes14.0ms (0.3%)

regimes15.0ms (0.3%)

simplify16.0ms (0.3%)

soundness191.0ms (3.7%)

end20.0ms (0.4%)

Profiling