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 (24.1%)

Results

508.0ms	2045×	body	1024	valid
336.0ms	4386×	body	128	valid
203.0ms	1071×	body	512	valid
74.0ms	242×	body	2048	valid
69.0ms	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)

simplify9.0ms (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)

localize7.0ms (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))

series1.4s (27.7%)

Counts

3 → 10

Calls

9 calls:

1.4s	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))	x	inf
10.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))	x	-inf
8.0ms	(cbrt.f64 x)	x	-inf
2.0ms	(cbrt.f64 x)	x	inf
1.0ms	(cbrt.f64 x)	x	0

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`pow1_binary64`
731×	`log1p-expm1-u_binary64`
731×	`expm1-log1p-u_binary64`
76×	`add-sqr-sqrt_binary64`
73×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1990	20

Stop Event

1×	node limit

Counts

3 → 81

simplify26.0ms (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

91 → 89

prune89.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	10	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Error

30.0b

Counts

90 → 10

Alt Table

Status	Error	Program
	32.2b	(-.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 2)))) (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)))
	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)))
▶	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)))))
	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))
	31.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
	31.6b	(-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (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))))))
	33.6b	1
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)

Compiler

Compiled 1455 to 996 computations (31.5% 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))

series63.0ms (1.3%)

Counts

3 → 16

Calls

9 calls:

50.0ms	(*.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
2.0ms	(*.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))	x	0
1.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))	x	-inf
1.0ms	(cbrt.f64 (pow.f64 (+.f64 x 1) 2))	x	inf

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`fma-def_binary64`
358×	`fma-neg_binary64`
204×	`log1p-udef_binary64`
203×	`expm1-udef_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	264	32
2	3568	32

Stop Event

1×	node limit

Counts

3 → 193

simplify29.0ms (0.6%)

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

prune317.0ms (6.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	238	4	242
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	244	8	252

Error

15.4b

Counts

252 → 8

Alt Table

Status	Error	Program
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	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))))))
	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)))))
	31.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
▶	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)))))
	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)))))
	33.6b	1
	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)))

Compiler

Compiled 7592 to 5023 computations (33.8% saved)

localize13.0ms (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))

prune322.0ms (6.5%)

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
	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)))
	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)))))
	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)))))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	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))))
	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)))))
	31.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
	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))))
	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)))))
	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)))))
	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))))))
	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)))
▶	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)))))

Compiler

Compiled 4932 to 3250 computations (34.1% saved)

localize18.0ms (0.4%)

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)

series9.0ms (0.2%)

Counts

1 → 4

Calls

3 calls:

2.0ms	(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

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`pow1_binary64`
549×	`add-log-exp_binary64`
549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	145	9
2	1614	9

Stop Event

1×	node limit

Counts

1 → 17

simplify25.0ms (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

21 → 24

prune549.0ms (11%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	213	8	221
Fresh	6	7	13
Picked	1	0	1
Done	0	0	0
Total	220	15	235

Error

0.1b

Counts

235 → 15

Alt Table

Status	Error	Program
	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)))
	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)))))
	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)))
	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)))))
	31.6b	(pow.f64 (cbrt.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))) 3)
	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)))))
	1.4b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.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)))))
	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)))))
	31.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
	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)))))
	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)))))
	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)))))
	17.1b	(/.f64 (+.f64 1 (-.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (.f64 (cbrt.f64 (exp.f64 (.f64 (log1p.f64 x) 1/3))) (cbrt.f64 (+.f64 x 1)))) (.f64 (cbrt.f64 x) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
	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)))))
	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)))))

Compiler

Compiled 9321 to 6574 computations (29.5% saved)

regimes431.0ms (8.6%)

Accuracy

Total 0.4b remaining (70.6%)

Threshold costs 0.4b (70.6%)

Counts

190 → 1

Compiler

Compiled 9788 to 7382 computations (24.6% saved)

simplify3.0ms (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

end326.0ms (6.5%)

Stop Event

1×

fuel

Compiler

Compiled 569 to 423 computations (25.7% 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 (24.1%)

preprocess17.0ms (0.3%)

simplify9.0ms (0.2%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series1.4s (27.7%)

rewrite44.0ms (0.9%)

simplify26.0ms (0.5%)

prune89.0ms (1.8%)

localize11.0ms (0.2%)

series63.0ms (1.3%)

rewrite61.0ms (1.2%)

simplify29.0ms (0.6%)

prune317.0ms (6.3%)

localize13.0ms (0.3%)

prune322.0ms (6.5%)

localize18.0ms (0.4%)

series9.0ms (0.2%)

rewrite34.0ms (0.7%)

simplify25.0ms (0.5%)

prune549.0ms (11%)

regimes431.0ms (8.6%)

simplify3.0ms (0.1%)

end326.0ms (6.5%)

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