Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.2s (23.2%)

Results

529.0ms	2045×	body	1024	valid
346.0ms	4386×	body	128	valid
212.0ms	1071×	body	512	valid
76.0ms	242×	body	2048	valid
68.0ms	512×	body	256	valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess17.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 8 to 6 computations (25% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11

Stop Event

1×

saturated

Counts

1 → 1

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	31.5b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

Compiler

Compiled 24 to 18 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (+.f64 x 1))
✓	0.6b	(cbrt.f64 x)
✓	3.3b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series1.5s (28.5%)

Counts

3 → 10

Calls

9 calls:

1.5s	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))	x	inf
10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))	x	-inf
9.0ms	(cbrt.f64 x)	x	-inf
1.0ms	(cbrt.f64 x)	x	0
1.0ms	(cbrt.f64 (+.f64 x 1))	x	-inf

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`log1p-expm1-u_binary64`
731×	`expm1-log1p-u_binary64`
698×	`prod-diff_binary64`
130×	`egg-rr`
72×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1939	20

Stop Event

1×	node limit

Counts

3 → 130

simplify27.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`fma-def_binary64`
611×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
374×	`associate-r_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	51	53
2	124	47
3	392	43
4	1126	38
5	3765	38

Stop Event

1×	node limit

Counts

140 → 138

prune167.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	125	13	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	13	139

Error

30.0b

Counts

139 → 13

Alt Table

Status	Error	Program
	32.2b	(+.f64 (fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (neg.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3)))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3) (.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/3))))
	32.1b	(fma.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x)))
	32.3b	(+.f64 (fma.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2))) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 x)))
	31.1b	(/.f64 (+.f64 (+.f64 x 1) (pow.f64 (neg.f64 (cbrt.f64 x)) 3)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (-.f64 (.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 x))) (.f64 (cbrt.f64 (+.f64 x 1)) (neg.f64 (cbrt.f64 x))))))
	32.2b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
	33.6b	1
	32.2b	(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (cbrt.f64 x))
	47.7b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	31.6b	(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (cbrt.f64 x))
	32.2b	(/.f64 (-.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (cbrt.f64 x) 2)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
	47.9b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 x) 1/3)) (pow.f64 (sqrt.f64 x) 1/3) (cbrt.f64 x)))
▶	30.7b	(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))

Compiler

Compiled 3090 to 2006 computations (35.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
	0.6b	(cbrt.f64 x)
✓	2.7b	(-.f64 (+.f64 x 1) x)
✓	15.4b	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))

series65.0ms (1.2%)

Counts

3 → 16

Calls

9 calls:

52.0ms	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))	x	-inf
5.0ms	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))	x	inf
3.0ms	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))	x	0
2.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))	x	-inf
1.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))	x	inf

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`fma-def_binary64`
358×	`fma-neg_binary64`
204×	`log1p-udef_binary64`
203×	`expm1-udef_binary64`
193×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	263	32
2	3473	32

Stop Event

1×	node limit

Counts

3 → 193

simplify28.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
621×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
380×	`associate-r_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	59
1	51	55
2	124	49
3	396	45
4	1134	40
5	3786	40

Stop Event

1×	node limit

Counts

209 → 200

prune347.0ms (6.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	238	4	242
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	247	8	255

Error

15.4b

Counts

255 → 8

Alt Table

Status	Error	Program
	32.2b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
	33.6b	1
	32.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	30.7b	(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 1/3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	30.7b	(/.f64 (-.f64 (+.f64 x 1) x) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (+.f64 x 1))))))
	47.7b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
▶	15.5b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))

Compiler

Compiled 7614 to 5045 computations (33.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (+.f64 x 1))
	0.4b	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
	0.6b	(cbrt.f64 x)
	15.4b	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))

prune279.0ms (5.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	138	10	148
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	142	14	156

Error

0.2b

Counts

156 → 14

Alt Table

Status	Error	Program
	15.5b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 x) 2))))
▶	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	47.7b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))
	15.5b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (fma.f64 (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x (+.f64 x 1))))))
	32.2b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
	15.7b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (cbrt.f64 (*.f64 (pow.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) 3) x))))
	15.4b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	2.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	31.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 2)))
	17.5b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (pow.f64 (+.f64 x 1) 1/6) (.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	32.4b	(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (+.f64 x 1)) (pow.f64 (+.f64 x 1) 2))) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))

Compiler

Compiled 4954 to 3272 computations (34% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (+.f64 x 1))
✓	0.4b	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)
	0.4b	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
	0.6b	(cbrt.f64 x)

series7.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

4.0ms	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)	x	-inf
2.0ms	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)	x	inf
1.0ms	(pow.f64 (cbrt.f64 (+.f64 x 1)) 2)	x	0

rewrite30.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
240×	`log-prod_binary64`
151×	`pow2_binary64`
114×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	144	9
2	1580	8

Stop Event

1×	node limit

Counts

1 → 21

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

666×	`fma-def_binary64`
621×	`associate-l_binary64`
536×	`unswap-sqr_binary64`
380×	`associate-r_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	51	43
2	124	37
3	396	33
4	1134	28
5	3786	28

Stop Event

1×	node limit

Counts

25 → 28

prune571.0ms (10.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	217	8	225
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	224	15	239

Error

0.1b

Counts

239 → 15

Alt Table

Status	Error	Program
	10.4b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))
	0.7b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 3) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	47.7b	(+.f64 (fma.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (pow.f64 (sqrt.f64 (+.f64 x 1)) 1/3) (neg.f64 (cbrt.f64 x))) (fma.f64 (neg.f64 (pow.f64 x 1/6)) (pow.f64 x 1/6) (cbrt.f64 x)))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 1) (cbrt.f64 x)))))
	32.2b	(-.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	15.4b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)) (/.f64 (*.f64 (cbrt.f64 x) (+.f64 x (+.f64 x 1))) (fma.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	17.2b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	17.5b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (pow.f64 (+.f64 x 1) 1/6) (.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	17.0b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x 1))))) (cbrt.f64 (+.f64 x 1)))) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	0.6b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	0.7b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))))) 3)))
	16.9b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 x 1)))) (.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))

Compiler

Compiled 9486 to 6676 computations (29.6% saved)

regimes526.0ms (9.8%)

Accuracy

Total 0.4b remaining (70.1%)

Threshold costs 0.4b (70.1%)

Counts

212 → 1

Compiler

Compiled 11066 to 8290 computations (25.1% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	27	57
2	31	57
3	33	57
4	34	57

Stop Event

1×

saturated

end328.0ms (6.1%)

Stop Event

1×

fuel

Compiler

Compiled 581 to 435 computations (25.1% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11

Details

analyze1.0ms (0%)

sample1.2s (23.2%)

preprocess17.0ms (0.3%)

simplify11.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.5s (28.5%)

rewrite56.0ms (1%)

simplify27.0ms (0.5%)

prune167.0ms (3.1%)

localize11.0ms (0.2%)

series65.0ms (1.2%)

rewrite60.0ms (1.1%)

simplify28.0ms (0.5%)

prune347.0ms (6.5%)

localize16.0ms (0.3%)

prune279.0ms (5.2%)

localize16.0ms (0.3%)

series7.0ms (0.1%)

rewrite30.0ms (0.6%)

simplify26.0ms (0.5%)

prune571.0ms (10.6%)

regimes526.0ms (9.8%)

simplify5.0ms (0.1%)

end328.0ms (6.1%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11
0	1	1

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	32	11
5	49	11
6	86	11
7	123	11
8	166	11
9	202	11
10	228	11
11	230	11