Details

analyze1.2s (16.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5367	148
0	3	3
1	3	3

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	96.7%	3.3%	9
16.4%	74.9%	8.7%	10
17.6%	71.8%	10.7%	11
26.3%	59.5%	14.2%	12
30.7%	45.7%	23.5%	13
31.7%	43.5%	24.7%	14

Compiler

Compiled 30 to 25 computations (16.7% saved)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
10.0ms	147×	body	128	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	37
1	4999	37

prune8.0ms (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: 9.8b

Counts

2 → 2

Compiler

Compiled 79 to 64 computations (19% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.2b	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
3.5b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
6.6b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.4b	(.f64 r (.f64 w w))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

109×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
71×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
44×	`add-cube-cbrt_binary64`
36×	`associate-r_binary64`
18×	`difference-of-squares_binary64`
17×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
11×	`associate-/r*_binary64` `pow1_binary64`
10×	`div-inv_binary64`
9×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `associate-*r/_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

22.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
12.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
10.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
8.0ms	(.f64 r (.f64 w w))

series199.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))))
54.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 r (.f64 w w))))
41.0ms	(/.f64 (-.f64 1 v) (.f64 r (.f64 w w)))
40.0ms	(.f64 r (.f64 w w))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5250	4089

prune329.0ms (4.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	182	7	189
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	183	8	191

Merged error: 3.7b

Counts

191 → 8

Compiler

Compiled 6298 to 3653 computations (42% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 2 (*.f64 r r))
1.2b	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
3.5b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
6.6b	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`times-frac_binary64`
77×	`add-sqr-sqrt_binary64`
72×	`*-un-lft-identity_binary64`
52×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
45×	`add-cube-cbrt_binary64`
35×	`associate-r_binary64`
19×	`cbrt-undiv_binary64` `div-exp_binary64`
18×	`difference-of-squares_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-/r_binary64` `associate-/l_binary64`
11×	`div-inv_binary64`
9×	`distribute-lft-out--_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 179

Calls

4 calls:

23.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
11.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
9.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
4.0ms	(/.f64 2 (*.f64 r r))

series189.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))))
54.0ms	(/.f64 (-.f64 1 v) (.f64 (.f64 r w) w))
49.0ms	(/.f64 r (/.f64 (-.f64 1 v) (.f64 (.f64 r w) w)))
17.0ms	(/.f64 2 (*.f64 r r))

simplify131.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4950	4154
1	4950	4154

prune356.0ms (4.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	179	12	191
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	186	13	199

Merged error: 0.0b

Counts

199 → 13

Compiler

Compiled 6476 to 3841 computations (40.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 w (.f64 r w))
0.2b	(/.f64 2 (*.f64 r r))
3.5b	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 1 (-.f64 1 v)) (.f64 r (.f64 w (.f64 r w)))))
5.7b	(.f64 r (.f64 w (*.f64 r w)))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-exp-log_binary64`
67×	`prod-exp_binary64`
65×	`add-cbrt-cube_binary64`
39×	`cbrt-unprod_binary64`
38×	`pow1_binary64`
24×	`pow-prod-down_binary64`
10×	`div-exp_binary64`
9×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-undiv_binary64`
5×	`associate-*l/_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-r_binary64` `associate-/l_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 108

Calls

4 calls:

20.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 1 (-.f64 1 v)) (.f64 r (.f64 w (.f64 r w)))))
10.0ms	(.f64 r (.f64 w (*.f64 r w)))
5.0ms	(.f64 w (.f64 r w))
4.0ms	(/.f64 2 (*.f64 r r))

series131.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (+.f64 3/8 (.f64 v -1/4)) (.f64 (/.f64 1 (-.f64 1 v)) (.f64 r (.f64 w (.f64 r w)))))
29.0ms	(.f64 r (.f64 w (*.f64 r w)))
22.0ms	(/.f64 2 (*.f64 r r))
14.0ms	(.f64 w (.f64 r w))

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5129	1974

prune182.0ms (2.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	120	13	133

Merged error: 0.0b

Counts

133 → 13

Compiler

Compiled 3882 to 2409 computations (37.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 r w) w)
0.2b	(/.f64 2 (*.f64 r r))
0.4b	(/.f64 1 (.f64 (.f64 r w) w))
5.9b	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-exp-log_binary64`
39×	`times-frac_binary64`
37×	`add-cbrt-cube_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`div-exp_binary64`
22×	`prod-exp_binary64`
15×	`pow1_binary64`
12×	`cbrt-undiv_binary64`
10×	`cbrt-unprod_binary64`
9×	`associate-/r_binary64` `associate-/l_binary64`
7×	`div-inv_binary64`
6×	`pow-prod-down_binary64` `1-exp_binary64` `rec-exp_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-flip_binary64`
1×	`associate-/r/_binary64` `associate-l_binary64` `inv-pow_binary64` `*-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

11.0ms	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))
6.0ms	(/.f64 1 (.f64 (.f64 r w) w))
5.0ms	(.f64 (.f64 r w) w)
4.0ms	(/.f64 2 (*.f64 r r))

series96.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 r (/.f64 1 (.f64 (.f64 r w) w)))
26.0ms	(.f64 (.f64 r w) w)
21.0ms	(/.f64 1 (.f64 (.f64 r w) w))
19.0ms	(/.f64 2 (*.f64 r r))

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4961	1607
1	4961	1607

prune200.0ms (2.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	9	11
Picked	0	1	1
Done	1	0	1
Total	141	12	153

Merged error: 0.0b

Counts

153 → 12

Compiler

Compiled 4152 to 2559 computations (38.4% saved)

regimes930.0ms (12.6%)

Compiler: Compiled 14382 to 11186 computations (22.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	34
1	92	34

end0.0ms (0%)

sample2.8s (37.6%)

Algorithm

1×

intervals

Results

543.0ms	8000×	body	128	valid
329.0ms	4878×	body	128	invalid

Compiler

Compiled 2275 to 1773 computations (22.1% saved)

Details

analyze1.2s (16.8%)

sample43.0ms (0.6%)

simplify52.0ms (0.7%)

prune8.0ms (0.1%)

localize25.0ms (0.3%)

rewrite72.0ms (1%)

series199.0ms (2.7%)

simplify77.0ms (1%)

prune329.0ms (4.5%)

localize15.0ms (0.2%)

rewrite67.0ms (0.9%)

series189.0ms (2.6%)

simplify131.0ms (1.8%)

prune356.0ms (4.8%)

localize17.0ms (0.2%)

rewrite51.0ms (0.7%)

series131.0ms (1.8%)

simplify50.0ms (0.7%)

prune182.0ms (2.5%)

localize20.0ms (0.3%)

rewrite38.0ms (0.5%)

series96.0ms (1.3%)

simplify88.0ms (1.2%)

prune200.0ms (2.7%)

regimes930.0ms (12.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (37.6%)

Profiling