Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	74×	body	1024	valid
4.0ms	139×	body	128	valid
2.0ms	24×	body	512	valid
1.0ms	16×	body	256	valid
0.0ms	3×	body	2048	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify168.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (0.1%)

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

Merged error: 29.9b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.2b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_442`
14×	`*-un-lft-identity_binary64_414`
13×	`add-sqr-sqrt_binary64_435`
5×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450`
4×	`difference-of-squares_binary64_383`
3×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
2×	`cbrt-div_binary64_443` `distribute-lft-out_binary64_367` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `flip3-+_binary64_417` `diff-log_binary64_503` `sub-neg_binary64_407` `flip-+_binary64_388` `flip--_binary64_389`

Counts

3 → 43

Calls

3 calls:

11.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series307.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(cbrt.f64 x)
109.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
43.0ms	(cbrt.f64 (+.f64 x 1))

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4976	720
1	4976	720

prune61.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Merged error: 0.3b

Counts

53 → 5

Compiler

Compiled 759 to 511 computations (32.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
0.6b	(cbrt.f64 x)
9.3b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`cbrt-div_binary64_443`
8×	`cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414`
7×	`flip3-+_binary64_417` `flip-+_binary64_388`
6×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450` `add-sqr-sqrt_binary64_435`
4×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `frac-times_binary64_424`
3×	`pow1/3_binary64_493`
2×	`associate-l/_binary64_359` `associate-r/_binary64_358`
1×	`flip3--_binary64_418` `diff-log_binary64_503` `sub-neg_binary64_407` `distribute-lft-out_binary64_367` `flip--_binary64_389`

Counts

4 → 53

Calls

4 calls:

14.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
12.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

series355.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 x)
108.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 (cbrt.f64 (+.f64 x 1)))) (cbrt.f64 x))
49.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))
40.0ms	(cbrt.f64 (+.f64 x 1))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5347	1049

prune84.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Merged error: 0.3b

Counts

70 → 5

Compiler

Compiled 1580 to 1169 computations (26% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 x 1))
0.6b	(cbrt.f64 x)
15.6b	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
16.1b	(cbrt.f64 (-.f64 (*.f64 x x) 1))

rewrite71.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_435`
29×	`cbrt-prod_binary64_442`
14×	`difference-of-squares_binary64_383`
13×	`*-un-lft-identity_binary64_414`
8×	`times-frac_binary64_420`
7×	`add-cube-cbrt_binary64_446`
6×	`add-log-exp_binary64_450`
4×	`pow1_binary64_472` `cbrt-div_binary64_443` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
3×	`flip3--_binary64_418` `flip--_binary64_389` `pow1/3_binary64_493`
2×	`distribute-lft-out--_binary64_368` `difference-of-sqr-1_binary64_384`
1×	`diff-log_binary64_503` `sub-neg_binary64_407`

Counts

4 → 66

Calls

4 calls:

56.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))
4.0ms	(cbrt.f64 (-.f64 x 1))
1.0ms	(cbrt.f64 x)

series415.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 x)
139.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
81.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))
53.0ms	(cbrt.f64 (-.f64 x 1))

simplify104.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4853	1742
1	4853	1742

prune96.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	77	6	83

Merged error: 0.3b

Counts

83 → 6

Compiler

Compiled 1859 to 1196 computations (35.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
4.6b	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))))
15.6b	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
16.1b	(cbrt.f64 (-.f64 (*.f64 x x) 1))

rewrite118.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64_435`
35×	`cbrt-prod_binary64_442`
22×	`difference-of-squares_binary64_383`
16×	`times-frac_binary64_420`
15×	`log-pow_binary64_500`
14×	`exp-prod_binary64_463`
13×	`*-un-lft-identity_binary64_414`
8×	`add-cube-cbrt_binary64_446`
6×	`add-log-exp_binary64_450`
5×	`pow1_binary64_472`
4×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `log-prod_binary64_497`
2×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `cbrt-div_binary64_443` `sub-neg_binary64_407` `flip--_binary64_389` `pow1/3_binary64_493`
1×	`rem-log-exp_binary64_452` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `difference-of-sqr-1_binary64_384`

Counts

4 → 77

Calls

4 calls:

52.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))))
51.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))
1.0ms	(cbrt.f64 x)

series622.0ms (16.9%)

Counts

4 → 12

Calls

4 calls:

228.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))))
162.0ms	(cbrt.f64 x)
144.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))
88.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))

simplify94.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4924	2304
1	4924	2304

prune114.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	89	6	95

Merged error: 0.3b

Counts

95 → 6

Compiler

Compiled 2298 to 1494 computations (35% saved)

regimes29.0ms (0.8%)

Compiler: Compiled 113 to 92 computations (18.6% saved)

bsearch35.0ms (0.9%)

Steps

Iters	Range		Point
9	971.6087017875745	5628074198.880996	77290.66097568852
10	-483066211776726.06	-698.7433761946063	-125571.14809576281

Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	65
1	60	65

end0.0ms (0%)

sample732.0ms (19.8%)

Algorithm

1×

intervals

Results

206.0ms	2017×	body	1024	valid
118.0ms	4342×	body	128	valid
68.0ms	941×	body	512	valid
31.0ms	221×	body	2048	valid
23.0ms	479×	body	256	valid

Compiler

Compiled 160 to 126 computations (21.3% saved)

Details

analyze2.0ms (0%)

sample25.0ms (0.7%)

simplify168.0ms (4.5%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite21.0ms (0.6%)

series307.0ms (8.3%)

simplify85.0ms (2.3%)

prune61.0ms (1.6%)

localize10.0ms (0.3%)

rewrite37.0ms (1%)

series355.0ms (9.6%)

simplify73.0ms (2%)

prune84.0ms (2.3%)

localize10.0ms (0.3%)

rewrite71.0ms (1.9%)

series415.0ms (11.2%)

simplify104.0ms (2.8%)

prune96.0ms (2.6%)

localize14.0ms (0.4%)

rewrite118.0ms (3.2%)

series622.0ms (16.9%)

simplify94.0ms (2.5%)

prune114.0ms (3.1%)

regimes29.0ms (0.8%)

bsearch35.0ms (0.9%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample732.0ms (19.8%)

Profiling