Details

analyze22.0ms (0.5%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	55×	body	1024	valid
5.0ms	138×	body	128	valid
4.0ms	35×	body	512	valid
2.0ms	21×	body	256	valid
1.0ms	7×	body	2048	valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	30	11
5	47	11
6	72	11
7	92	11
8	109	11
9	119	11
10	123	11
11	125	11
12	111	11

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.7b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	29.7b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.4b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite151.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

Rules

67×	`cbrt-prod_binary64`
58×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
42×	`prod-diff_binary64`
35×	`add-cube-cbrt_binary64`

Counts

3 → 104

Calls

3 calls:

8.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2096 to 978 computations (53.3% saved)

series71.0ms (1.5%)

Error

15.0b

Counts

3 → 16

Calls

3 calls:

21.0ms	(cbrt.f64 x)
18.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
15.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 528 to 432 computations (18.2% saved)

simplify278.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1199×	`fma-neg_binary64`
669×	`fma-def_binary64`
365×	`log-prod_binary64`
359×	`cancel-sign-sub-inv_binary64`
198×	`sub-neg_binary64`

Counts

120 → 98

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	160	3441
1	320	2675
2	939	2270
3	2617	2059
4	3962	1457
5	4622	1457
6	4911	1457
7	4712	1457

prune56.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Error

8.0b

Counts

99 → 8

Alt Table

Status	Error	Program
	31.7b	(-.f64 (log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
	45.0b	(.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))
	32.1b	(fma.f64 x (+.f64 1/3 (*.f64 x -1/9)) (-.f64 1 (cbrt.f64 x)))
	33.3b	(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
▶	29.7b	(exp.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
	29.7b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
	29.8b	(-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
	29.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

Compiler

Compiled 773 to 544 computations (29.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 x))
0.6b	(cbrt.f64 x)
3.4b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
8.2b	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))

rewrite285.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

75×	`cbrt-prod_binary64`
67×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
42×	`prod-diff_binary64`
37×	`add-cube-cbrt_binary64`

Counts

4 → 127

Calls

4 calls:

16.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
11.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
4.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2652 to 1416 computations (46.6% saved)

series105.0ms (2.2%)

Error

8.0b

Counts

4 → 20

Calls

4 calls:

24.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
21.0ms	(cbrt.f64 x)
20.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
17.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 814 to 689 computations (15.4% saved)

simplify265.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1225×	`fma-neg_binary64`
711×	`fma-def_binary64`
234×	`sub-neg_binary64`
200×	`log-prod_binary64`
193×	`*-commutative_binary64`

Counts

147 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	3637
1	368	3437
2	1048	2968
3	3099	2730
4	4058	2044
5	4831	2044
6	4682	2044

prune70.0ms (1.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Error

8.0b

Counts

105 → 11

Alt Table

Status	Error	Program
▶	29.7b	(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 3)))
	31.5b	(exp.f64 (log1p.f64 (neg.f64 (cbrt.f64 x))))
	29.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
	46.0b	(exp.f64 (log.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))))
	45.0b	(.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))
	32.1b	(fma.f64 x (+.f64 1/3 (*.f64 x -1/9)) (-.f64 1 (cbrt.f64 x)))
	33.3b	(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
	33.5b	(exp.f64 (-.f64 0 (log.f64 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))))
	29.7b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
	30.1b	(exp.f64 (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))))
	30.5b	(exp.f64 (log.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))

Compiler

Compiled 998 to 732 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 x))
0.6b	(cbrt.f64 x)
3.4b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
8.2b	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))

rewrite175.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

75×	`cbrt-prod_binary64`
67×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
42×	`prod-diff_binary64`
37×	`add-cube-cbrt_binary64`

Counts

4 → 127

Calls

4 calls:

10.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
9.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2991 to 1755 computations (41.3% saved)

series68.0ms (1.4%)

Error

8.0b

Counts

4 → 20

Calls

4 calls:

16.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
15.0ms	(cbrt.f64 x)
11.0ms	(cbrt.f64 (+.f64 1 x))
11.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))

Compiler

Compiled 955 to 830 computations (13.1% saved)

simplify172.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1225×	`fma-neg_binary64`
711×	`fma-def_binary64`
234×	`sub-neg_binary64`
200×	`log-prod_binary64`
193×	`*-commutative_binary64`

Counts

147 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	3637
1	368	3437
2	1048	2968
3	3099	2730
4	4058	2044
5	4831	2044
6	4682	2044

prune54.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	97	11	108

Error

8.0b

Counts

108 → 11

Alt Table

Status	Error	Program
	29.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
	46.0b	(exp.f64 (log.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))))
▶	29.7b	(exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 3)) 3)))
	31.5b	(exp.f64 (log1p.f64 (neg.f64 (cbrt.f64 x))))
	45.0b	(.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))
	32.1b	(fma.f64 x (+.f64 1/3 (*.f64 x -1/9)) (-.f64 1 (cbrt.f64 x)))
	33.3b	(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
	33.5b	(exp.f64 (-.f64 0 (log.f64 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))))
	29.7b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
	30.1b	(exp.f64 (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))))
	30.5b	(exp.f64 (log.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))

Compiler

Compiled 1136 to 870 computations (23.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 1 x))
0.6b	(cbrt.f64 x)
3.4b	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
8.2b	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))

rewrite193.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

7.9b

Rules

75×	`cbrt-prod_binary64`
67×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
42×	`prod-diff_binary64`
37×	`add-cube-cbrt_binary64`

Counts

4 → 127

Calls

4 calls:

10.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
9.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
3.0ms	(cbrt.f64 (+.f64 1 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3330 to 2094 computations (37.1% saved)

series65.0ms (1.3%)

Error

8.0b

Counts

4 → 20

Calls

4 calls:

14.0ms	(log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x)))
13.0ms	(-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))
12.0ms	(cbrt.f64 x)
10.0ms	(cbrt.f64 (+.f64 1 x))

Compiler

Compiled 1096 to 971 computations (11.4% saved)

simplify171.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1225×	`fma-neg_binary64`
711×	`fma-def_binary64`
234×	`sub-neg_binary64`
200×	`log-prod_binary64`
193×	`*-commutative_binary64`

Counts

147 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	196	3637
1	368	3437
2	1048	2968
3	3099	2730
4	4058	2044
5	4831	2044
6	4682	2044

prune57.0ms (1.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	97	11	108

Error

8.0b

Counts

108 → 11

Alt Table

Status	Error	Program
	29.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
	46.0b	(exp.f64 (log.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))))
	31.5b	(exp.f64 (log1p.f64 (neg.f64 (cbrt.f64 x))))
	45.0b	(.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 x x))))
	32.1b	(fma.f64 x (+.f64 1/3 (*.f64 x -1/9)) (-.f64 1 (cbrt.f64 x)))
	33.3b	(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))
	33.5b	(exp.f64 (-.f64 0 (log.f64 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 1 x))))))))
	29.7b	(log.f64 (exp.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))))
	30.1b	(exp.f64 (log.f64 (-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 6)) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))))
	30.5b	(exp.f64 (log.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 x 3))) (cbrt.f64 (-.f64 (fma.f64 x x 1) x))) (cbrt.f64 x))))
	29.7b	(exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 x))) 3)) 3)) 3)))

Compiler

Compiled 1106 to 872 computations (21.2% saved)

regimes836.0ms (17.2%)

Accuracy

Total 0.4b remaining (4.6%)

Threshold costs 0.4b (4.6%)

Compiler

Compiled 11556 to 7764 computations (32.8% saved)

bsearch49.0ms (1%)

Steps

Iters	Range		Point
3	1.2291184070666562e-11	0.4745905035287469	5.1726045598553944e-5
7	-103433626.88514052	-3564879.3712892393	-55446274.87776053

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-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	36	108
1	46	108
2	50	108
3	52	108
4	53	108
5	52	108

end3.0ms (0.1%)

Compiler: Compiled 70 to 50 computations (28.6% saved)

sample1.6s (33.3%)

Algorithm

1×

intervals

Results

444.0ms	1999×	body	1024	valid
232.0ms	4188×	body	128	valid
173.0ms	1078×	body	512	valid
71.0ms	217×	body	2048	valid
56.0ms	518×	body	256	valid

Compiler

Compiled 248 to 194 computations (21.8% saved)

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	30	11
5	47	11
6	72	11
7	92	11
8	109	11
9	119	11
10	123	11
11	125	11
12	111	11

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	30	11
5	47	11
6	72	11
7	92	11
8	109	11
9	119	11
10	123	11
11	125	11
12	111	11

Details

analyze22.0ms (0.5%)

sample28.0ms (0.6%)

simplify16.0ms (0.3%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite151.0ms (3.1%)

series71.0ms (1.5%)

simplify278.0ms (5.7%)

prune56.0ms (1.2%)

localize8.0ms (0.2%)

rewrite285.0ms (5.9%)

series105.0ms (2.2%)

simplify265.0ms (5.4%)

prune70.0ms (1.4%)

localize10.0ms (0.2%)

rewrite175.0ms (3.6%)

series68.0ms (1.4%)

simplify172.0ms (3.5%)

prune54.0ms (1.1%)

localize13.0ms (0.3%)

rewrite193.0ms (4%)

series65.0ms (1.3%)

simplify171.0ms (3.5%)

prune57.0ms (1.2%)

regimes836.0ms (17.2%)

bsearch49.0ms (1%)

simplify12.0ms (0.2%)

end3.0ms (0.1%)

sample1.6s (33.3%)

Profiling

Iter	Nodes	Cost
0	7	11
1	12	11
2	16	11
3	23	11
4	30	11
5	47	11
6	72	11
7	92	11
8	109	11
9	119	11
10	123	11
11	125	11
12	111	11