Details

analyze426.0ms (20.9%)

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%	99.9%	0.1%	6
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	38×	body	80	invalid

simplify297.0ms (14.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (294.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	9

prune9.0ms (0.4%)

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: 11.4b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
10.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z x))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series22.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
9.0ms	(*.f64 y (-.f64 z x))

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5652	608

prune70.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Merged error: 2.8b

Counts

60 → 3

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
2.7b	(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 41

Calls

2 calls:

8.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)
4.0ms	(-.f64 (*.f64 x y) x)

series16.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 (*.f64 x y) x) z)
6.0ms	(-.f64 (*.f64 x y) x)

simplify52.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5425	465

prune49.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 2.8b

Counts

50 → 3

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.2b	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
10.7b	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

rewrite25.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
61×	`add-sqr-sqrt_binary64`
59×	`*-un-lft-identity_binary64`
57×	`add-cube-cbrt_binary64`
18×	`associate-/r*_binary64` `add-exp-log_binary64`
12×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`div-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `1-exp_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 137

Calls

3 calls:

8.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))

series50.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 z (+.f64 x (*.f64 y (-.f64 z x))))
16.0ms	(/.f64 1 (/.f64 z (+.f64 x (*.f64 y (-.f64 z x)))))
9.0ms	(*.f64 y (-.f64 z x))

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5054	2139

prune130.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	146	3	149

Merged error: 2.8b

Counts

149 → 3

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
10.9b	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64`
12×	`add-cube-cbrt_binary64`
11×	`times-frac_binary64`
9×	`add-cbrt-cube_binary64`
6×	`pow1_binary64` `associate-l_binary64`
5×	`prod-exp_binary64`
4×	`unswap-sqr_binary64`
3×	`cbrt-unprod_binary64` `associate-*r/_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `sub-neg_binary64` `div-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `un-div-inv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `flip--_binary64`

Counts

2 → 64

Calls

2 calls:

9.0ms	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))
7.0ms	(*.f64 y (-.f64 z x))

series21.0ms (1%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(.f64 (+.f64 x (.f64 y (-.f64 z x))) (/.f64 1 z))
8.0ms	(*.f64 y (-.f64 z x))

simplify52.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5330	693

prune64.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 2.8b

Counts

73 → 3

regimes123.0ms (6%)

Accuracy

Total 0.0b remaining (0.6%)

Threshold costs 0.0b (0.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	160	9
1	160	9

end0.0ms (0%)

sample442.0ms (21.6%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	80	valid
35.0ms	1093×	body	80	invalid

Details

analyze426.0ms (20.9%)

sample17.0ms (0.8%)

simplify297.0ms (14.5%)

prune9.0ms (0.4%)

localize6.0ms (0.3%)

rewrite14.0ms (0.7%)

series22.0ms (1.1%)

simplify49.0ms (2.4%)

prune70.0ms (3.4%)

localize6.0ms (0.3%)

rewrite13.0ms (0.6%)

series16.0ms (0.8%)

simplify52.0ms (2.6%)

prune49.0ms (2.4%)

localize7.0ms (0.3%)

rewrite25.0ms (1.2%)

series50.0ms (2.4%)

simplify49.0ms (2.4%)

prune130.0ms (6.4%)

localize7.0ms (0.3%)

rewrite20.0ms (1%)

series21.0ms (1%)

simplify52.0ms (2.5%)

prune64.0ms (3.1%)

regimes123.0ms (6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample442.0ms (21.6%)

Profiling