Details

analyze1.9s (9.2%)

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)

sample179.0ms (0.9%)

Algorithm

1×

intervals

Results

33.0ms	67×	body	4096	valid
30.0ms	35×	body	8192	valid
29.0ms	382×	body	128	nan
17.0ms	41×	body	2048	valid
11.0ms	134×	body	128	invalid
6.0ms	82×	body	128	valid
5.0ms	15×	body	1024	valid
3.0ms	12×	body	512	valid
1.0ms	4×	body	256	valid
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify134.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune6.0ms (0%)

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

Error

58.5b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.4b	(+.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))))

rewrite330.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

58.4b

Rules

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

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))))
13.0ms	(/.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)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.0s (9.7%)

Error

32.0b

Counts

4 → 71

Calls

4 calls:

552.0ms	(+.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))))
456.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
455.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
453.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5046	5195

prune282.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

32.8b

Counts

216 → 7

Compiler

Compiled 11158 to 2108 computations (81.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.6b	(.f64 w (.f64 (*.f64 D D) h))
9.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
13.4b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
17.3b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite668.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

Rules

921×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
626×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
166×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
50×	`pow1_binary64_1162`
33×	`pow-prod-down_binary64_1172`
11×	`associate-l_binary64_1042`
7×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
4×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
3×	`associate-r_binary64_1041` `-commutative_binary64_1032` `associate-r/_binary64_1043`
2×	`div-inv_binary64_1098`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `frac-times_binary64_1111` `associate-*l/_binary64_1044`

Counts

4 → 317

Calls

4 calls:

30.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
18.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
12.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
7.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 15289 to 3598 computations (76.5% saved)

series1.6s (7.7%)

Error

27.0b

Counts

4 → 57

Calls

4 calls:

634.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
519.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (.f64 d d) c0))))
252.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
124.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 3735 to 3135 computations (16.1% saved)

simplify165.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

374 → 374

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4985	12705
1	4985	12705

prune476.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	369	5	374
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	371	10	381

Error

23.9b

Counts

381 → 10

Compiler

Compiled 11292 to 4356 computations (61.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.2b	(.f64 (.f64 D D) h)
14.7b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.3b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
19.9b	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))

rewrite216.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

22.9b

Rules

168×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
108×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
31×	`pow1_binary64_1162`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
18×	`pow-prod-down_binary64_1172`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`pow-unpow_binary64_1178` `add-log-exp_binary64_1140`
4×	`associate-r_binary64_1041`
3×	`unpow-prod-down_binary64_1180` `pow-pow_binary64_1173`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098` `associate-l_binary64_1042` `*-commutative_binary64_1032`
1×	`exp-to-pow_binary64_1163` `exp-prod_binary64_1153` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `sqr-pow_binary64_1073` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

4 → 129

Calls

4 calls:

22.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))

Compiler

Compiled 5029 to 1136 computations (77.4% saved)

series1.4s (6.7%)

Error

22.9b

Counts

4 → 51

Calls

4 calls:

663.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
464.0ms	(pow.f64 (exp.f64 (.f64 (/.f64 c0 w) 1/4)) (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (.f64 d d))))
150.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
62.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3451 to 2874 computations (16.7% saved)

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5201	4071

prune178.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	182	8	190

Error

22.9b

Counts

190 → 8

Compiler

Compiled 5121 to 1431 computations (72.1% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

22.9b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 22.9b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Error

22.9b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes3.2s (15.3%)

Accuracy

Total 5.8b remaining (18.5%)

Threshold costs 0b (0%)

Compiler

Compiled 40839 to 27534 computations (32.6% saved)

bsearch405.0ms (2%)

Steps

Iters	Range		Point
6	7.566435474293305e-53	5.486380436130398e-52	1.2136475211320043e-52
8	1.0167774424923423e-117	6.322389660260444e-115	1.6799941372297761e-115
8	-4.4833271943417094e-128	-1.150836123632247e-132	-5.029253008332105e-129
8	-6.738274057130604e+137	-1.542009843128831e+134	-1.7784595151432426e+134

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	53
1	52	53

end0.0ms (0%)

sample7.4s (35.5%)

Algorithm

1×

intervals

Results

1.0s	2134×	body	4096	valid
946.0ms	11922×	body	128	nan
726.0ms	1155×	body	8192	valid
508.0ms	1294×	body	2048	valid
321.0ms	4021×	body	128	invalid
186.0ms	2409×	body	128	valid
182.0ms	598×	body	1024	valid
67.0ms	279×	body	512	valid
22.0ms	131×	body	256	valid
22.0ms	57×	body	2048	invalid
16.0ms	53×	body	1024	invalid
9.0ms	19×	body	4096	invalid
8.0ms	34×	body	512	invalid
4.0ms	7×	body	8192	exit
4.0ms	27×	body	256	invalid

Compiler

Compiled 3374 to 2286 computations (32.2% saved)

Details

analyze1.9s (9.2%)

sample179.0ms (0.9%)

simplify134.0ms (0.6%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite330.0ms (1.6%)

series2.0s (9.7%)

simplify104.0ms (0.5%)

prune282.0ms (1.4%)

localize20.0ms (0.1%)

rewrite668.0ms (3.2%)

series1.6s (7.7%)

simplify165.0ms (0.8%)

prune476.0ms (2.3%)

localize17.0ms (0.1%)

rewrite216.0ms (1%)

series1.4s (6.7%)

simplify77.0ms (0.4%)

prune178.0ms (0.9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune1.0ms (0%)

regimes3.2s (15.3%)

bsearch405.0ms (2%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.4s (35.5%)

Profiling