Details

analyze1.8s (18.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

sample187.0ms (1.9%)

Algorithm

1×

intervals

Results

42.0ms	73×	body	5120	valid
32.0ms	430×	body	80	nan
25.0ms	44×	body	2560	valid
12.0ms	162×	body	80	invalid
11.0ms	26×	body	1280	valid
10.0ms	15×	body	5120	exit
6.0ms	81×	body	80	valid
6.0ms	19×	body	640	valid
2.0ms	5×	body	2560	invalid
2.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	invalid

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5515	42

prune17.0ms (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: 59.3b

Counts

2 → 2

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
26.2b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite99.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 143

Calls

4 calls:

47.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
16.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series236.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
39.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
38.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
37.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4954	2695
1	4954	2695

prune241.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	7	157

Merged error: 32.2b

Counts

157 → 7

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

5.2b	(.f64 (/.f64 c0 (.f64 2.0 w)) 0)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
3×	`pow1_binary64` `associate-r_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.f64 (/.f64 c0 (*.f64 2.0 w)) 0)

series1.0ms (0%)

Counts

1 → 3

Calls

1 calls:

1.0ms

(*.f64 (/.f64 c0 (*.f64 2.0 w)) 0)

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5176	78

prune72.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 30.8b

Counts

38 → 7

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune31.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 30.8b

Counts

7 → 7

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

26.1b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
26.1b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
26.1b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
33.1b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))))) (*.f64 M M))))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

46.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))))) (*.f64 M M))))
10.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
10.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
10.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

series364.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))))) (cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))))) (*.f64 M M))))
77.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
76.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
75.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5031	1742

prune87.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	69	6	75

Merged error: 30.8b

Counts

75 → 6

regimes1.0s (10.2%)

Accuracy

Total 4.0b remaining (11.4%)

Threshold costs 0b (0%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	66
1	58	66

end0.0ms (0%)

sample5.5s (54.5%)

Algorithm

1×

intervals

Results

1.3s	2316×	body	5120	valid
992.0ms	12722×	body	80	nan
784.0ms	1695×	body	2560	valid
345.0ms	562×	body	5120	exit
328.0ms	4173×	body	80	invalid
317.0ms	844×	body	1280	valid
190.0ms	2435×	body	80	valid
115.0ms	387×	body	640	valid
45.0ms	206×	body	320	valid
26.0ms	58×	body	2560	invalid
26.0ms	70×	body	1280	invalid
17.0ms	117×	body	160	valid
14.0ms	48×	body	640	invalid
4.0ms	18×	body	320	invalid
3.0ms	5×	body	5120	invalid
2.0ms	12×	body	160	invalid

Details

analyze1.8s (18.4%)

sample187.0ms (1.9%)

simplify44.0ms (0.4%)

prune17.0ms (0.2%)

localize20.0ms (0.2%)

rewrite99.0ms (1%)

series236.0ms (2.4%)

simplify65.0ms (0.7%)

prune241.0ms (2.4%)

localize5.0ms (0%)

rewrite8.0ms (0.1%)

series1.0ms (0%)

simplify49.0ms (0.5%)

prune72.0ms (0.7%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0%)

prune31.0ms (0.3%)

localize28.0ms (0.3%)

rewrite77.0ms (0.8%)

series364.0ms (3.6%)

simplify47.0ms (0.5%)

prune87.0ms (0.9%)

regimes1.0s (10.2%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.5s (54.5%)

Profiling