Details

analyze2.0s (18%)

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

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample178.0ms (1.6%)

Algorithm

1×

intervals

Results

36.0ms	417×	body	128	nan
34.0ms	66×	body	4096	valid
24.0ms	37×	body	8192	valid
21.0ms	52×	body	2048	valid
10.0ms	123×	body	128	invalid
6.0ms	72×	body	128	valid
5.0ms	16×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	3×	body	1024	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify126.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (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: 59.8b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.8b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.4b	(+.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))))

rewrite126.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
45×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 143

Calls

4 calls:

50.0ms	(+.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))))
19.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.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)))

series607.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

315.0ms	(+.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))))
98.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
98.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
97.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5013	4040

prune236.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	152	3	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	153	4	157

Merged error: 35.6b

Counts

157 → 4

Compiler

Compiled 8769 to 1759 computations (79.9% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

8.2b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`associate-l_binary64_1042`
6×	`add-sqr-sqrt_binary64_1123`
4×	`cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136`
3×	`pow1_binary64_1162` `times-frac_binary64_1107` `associate-r_binary64_1041`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `mul0-rgt_binary64_1084` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series2.0ms (0%)

Counts

1 → 3

Calls

1 calls:

2.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5033	110

prune30.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	31	4	35

Merged error: 32.0b

Counts

35 → 4

Compiler

Compiled 355 to 237 computations (33.2% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 32.0b

Counts

4 → 4

Compiler

Compiled 182 to 80 computations (56% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

24.0b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
24.0b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
24.0b	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
38.8b	(+.f64 (.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))))) (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))))

rewrite100.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-div_binary64_1133`
15×	`cbrt-prod_binary64_1132`
14×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
10×	`frac-times_binary64_1111` `associate-*l/_binary64_1044`
7×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cube-cbrt_binary64_1136`
6×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
3×	`pow1/3_binary64_1183` `div-inv_binary64_1098` `times-frac_binary64_1107`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 67

Calls

4 calls:

52.0ms	(+.f64 (.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))))) (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))))
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))))
9.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

series1.0s (9.4%)

Counts

4 → 12

Calls

4 calls:

348.0ms	(+.f64 (.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))))) (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))))
233.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
224.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
224.0ms	(cbrt.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5044	5187

prune154.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	77	6	83

Merged error: 31.2b

Counts

83 → 6

Compiler

Compiled 7501 to 1125 computations (85% saved)

regimes432.0ms (4%)

Compiler: Compiled 7234 to 4286 computations (40.8% saved)

bsearch3.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	162
1	51	162

end0.0ms (0%)

sample5.6s (51.2%)

Algorithm

1×

intervals

Results

1.1s	2129×	body	4096	valid
936.0ms	11791×	body	128	nan
725.0ms	1152×	body	8192	valid
525.0ms	1303×	body	2048	valid
338.0ms	4088×	body	128	invalid
203.0ms	2384×	body	128	valid
188.0ms	599×	body	1024	valid
71.0ms	302×	body	512	valid
23.0ms	57×	body	2048	invalid
21.0ms	62×	body	1024	invalid
21.0ms	131×	body	256	valid
11.0ms	42×	body	512	invalid
8.0ms	17×	body	4096	invalid
3.0ms	5×	body	8192	exit
3.0ms	18×	body	256	invalid

Compiler

Compiled 871 to 470 computations (46% saved)

Details

analyze2.0s (18%)

sample178.0ms (1.6%)

simplify126.0ms (1.2%)

prune7.0ms (0.1%)

localize25.0ms (0.2%)

rewrite126.0ms (1.2%)

series607.0ms (5.6%)

simplify95.0ms (0.9%)

prune236.0ms (2.2%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify72.0ms (0.7%)

prune30.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize25.0ms (0.2%)

rewrite100.0ms (0.9%)

series1.0s (9.4%)

simplify89.0ms (0.8%)

prune154.0ms (1.4%)

regimes432.0ms (4%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (51.2%)

Profiling