Details

analyze232.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

sample76.0ms (1.8%)

Algorithm

1×

intervals

Results

33.0ms	62×	body	1280	valid
15.0ms	36×	body	640	valid
10.0ms	130×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	6×	body	160	valid
1.0ms	9×	body	80	invalid
0.0ms	6×	body	80	overflowed

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4915	27
1	4915	27

prune9.0ms (0.2%)

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: 29.2b

Counts

2 → 2

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
0.0b	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))
0.0b	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))
0.2b	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64`
78×	`exp-neg_binary64`
76×	`frac-times_binary64`
59×	`neg-sub0_binary64` `exp-diff_binary64`
38×	`associate-r/_binary64` `associate-l/_binary64`
30×	`flip3-+_binary64` `flip-+_binary64`
28×	`flip3--_binary64` `flip--_binary64`
19×	`un-div-inv_binary64`
12×	`exp-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`associate-l_binary64` `rem-exp-log_binary64`
3×	`associate-r_binary64`
2×	`neg-mul-1_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `neg-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 154

Calls

4 calls:

19.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))
13.0ms	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
4.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))
3.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))

series89.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(-.f64 (.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x)))) (.f64 (-.f64 (/.f64 1.0 eps) 1.0) (exp.f64 (neg.f64 (.f64 (+.f64 1.0 eps) x)))))
16.0ms	(.f64 (+.f64 1.0 (/.f64 1.0 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1.0 eps) x))))
8.0ms	(exp.f64 (neg.f64 (*.f64 (+.f64 1.0 eps) x)))
7.0ms	(exp.f64 (neg.f64 (*.f64 (-.f64 1.0 eps) x)))

simplify132.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4950	6540
1	4950	6540

prune560.0ms (13.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	163	3	166
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	165	3	168

Merged error: 0.2b

Counts

168 → 3

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 0.6666666666666667 (pow.f64 x 3))
6.4b	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `diff-log_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 44

Calls

2 calls:

9.0ms	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))
7.0ms	(*.f64 0.6666666666666667 (pow.f64 x 3))

series12.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(-.f64 (+.f64 (.f64 0.6666666666666667 (pow.f64 x 3)) 2.0) (.f64 1.0 (*.f64 x x)))
5.0ms	(*.f64 0.6666666666666667 (pow.f64 x 3))

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4924	450
1	4924	450

prune75.0ms (1.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.2b

Counts

53 → 4

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
0.0b	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
7.0ms	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

series19.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (.f64 x (-.f64 (*.f64 0.6666666666666667 x) 1.0)))
8.0ms	(.f64 x (-.f64 (.f64 0.6666666666666667 x) 1.0))

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5235	490

prune68.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.2b

Counts

56 → 4

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 0.6666666666666667 (.f64 x x))
0.6b	(cbrt.f64 x)
0.8b	(pow.f64 (cbrt.f64 x) 3)
6.4b	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 73

Calls

4 calls:

14.0ms	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))
6.0ms	(.f64 0.6666666666666667 (.f64 x x))
5.0ms	(pow.f64 (cbrt.f64 x) 3)
1.0ms	(cbrt.f64 x)

series62.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow.f64 (cbrt.f64 x) 3)
18.0ms	(cbrt.f64 x)
9.0ms	(-.f64 (+.f64 (.f64 (.f64 0.6666666666666667 (.f64 x x)) (pow.f64 (cbrt.f64 x) 3)) 2.0) (.f64 1.0 (*.f64 x x)))
4.0ms	(.f64 0.6666666666666667 (.f64 x x))

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4908	531
1	4908	531

prune101.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	85	4	89

Merged error: 0.2b

Counts

89 → 4

regimes120.0ms (2.9%)

Accuracy

Total 0.6b remaining (60%)

Threshold costs 0.6b (60%)

bsearch68.0ms (1.7%)

Steps

Iters	Range		Point
9	69.96252274476456	299340061.5779964	312.8937051629594

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	499	44
1	499	44

end0.0ms (0%)

sample2.1s (51.4%)

Algorithm

1×

intervals

Results

909.0ms	1667×	body	1280	valid
437.0ms	1263×	body	640	valid
328.0ms	4089×	body	80	valid
154.0ms	644×	body	320	valid
54.0ms	337×	body	160	valid
20.0ms	249×	body	80	invalid
17.0ms	194×	body	80	overflowed
9.0ms	17×	body	1280	invalid
6.0ms	16×	body	640	invalid
2.0ms	8×	body	320	invalid
1.0ms	4×	body	160	invalid

Details

analyze232.0ms (5.6%)

sample76.0ms (1.8%)

simplify72.0ms (1.7%)

prune9.0ms (0.2%)

localize18.0ms (0.4%)

rewrite51.0ms (1.2%)

series89.0ms (2.2%)

simplify132.0ms (3.2%)

prune560.0ms (13.6%)

localize11.0ms (0.3%)

rewrite17.0ms (0.4%)

series12.0ms (0.3%)

simplify43.0ms (1%)

prune75.0ms (1.8%)

localize7.0ms (0.2%)

rewrite20.0ms (0.5%)

series19.0ms (0.5%)

simplify38.0ms (0.9%)

prune68.0ms (1.7%)

localize11.0ms (0.3%)

rewrite28.0ms (0.7%)

series62.0ms (1.5%)

simplify52.0ms (1.3%)

prune101.0ms (2.5%)

regimes120.0ms (2.9%)

bsearch68.0ms (1.7%)

simplify10.0ms (0.3%)

end0.0ms (0%)

sample2.1s (51.4%)

Profiling