Details

analyze4.2s (11%)

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)

sample354.0ms (0.9%)

Algorithm

1×

intervals

Results

79.0ms	76×	body	4096	valid
61.0ms	392×	body	128	nan
52.0ms	36×	body	8192	valid
27.0ms	33×	body	2048	valid
20.0ms	126×	body	128	invalid
16.0ms	25×	body	1024	valid
11.0ms	71×	body	128	valid
6.0ms	12×	body	512	valid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	invalid
1.0ms	3×	body	256	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify236.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5019	69

prune11.0ms (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

60.9b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.8b	(+.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))))

rewrite623.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

60.9b

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:

98.0ms	(+.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))))
26.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
25.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series3.8s (10%)

Error

33.8b

Counts

4 → 71

Calls

4 calls:

1.0s	(+.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))))
852.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
850.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
840.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify210.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5046	5195

prune522.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	210	6	216

Error

34.3b

Counts

216 → 6

Compiler

Compiled 11105 to 2087 computations (81.2% saved)

localize43.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.3b	(.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))))
9.3b	(.f64 w (.f64 (*.f64 D D) h))
13.4b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite1.3s (3.3%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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:

66.0ms	(.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))))
41.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
29.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
16.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 15289 to 3598 computations (76.5% saved)

series3.2s (8.4%)

Error

29.0b

Counts

4 → 57

Calls

4 calls:

1.3s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
1.1s	(.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))))
468.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
263.0ms	(.f64 w (.f64 (*.f64 D D) h))

Compiler

Compiled 3735 to 3135 computations (16.1% saved)

simplify351.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

374 → 374

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4985	12705
1	4985	12705

prune1.0s (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	368	6	374
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	370	10	380

Error

25.7b

Counts

380 → 10

Compiler

Compiled 11268 to 4359 computations (61.3% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.1b	(.f64 (.f64 D D) h)
15.4b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.8b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
20.7b	(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))))

rewrite430.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

23.8b

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:

42.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
28.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
13.0ms	(.f64 (.f64 D D) h)
10.0ms	(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)

series2.6s (6.8%)

Error

23.8b

Counts

4 → 51

Calls

4 calls:

1.2s	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
889.0ms	(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))))
295.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
108.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3451 to 2874 computations (16.7% saved)

simplify156.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5201	4071

prune338.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	181	9	190

Error

23.8b

Counts

190 → 9

Compiler

Compiled 5122 to 1454 computations (71.6% saved)

localize3.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

23.8b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 23.8b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Error

23.8b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes4.3s (11.3%)

Accuracy

Total 4.6b remaining (15.1%)

Threshold costs 0b (0%)

Compiler

Compiled 29134 to 20016 computations (31.3% saved)

bsearch11.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	45
1	29	45

end0.0ms (0%)

sample14.2s (37.4%)

Algorithm

1×

intervals

Results

2.1s	2166×	body	4096	valid
1.8s	11815×	body	128	nan
1.5s	1164×	body	8192	valid
1.0s	1263×	body	2048	valid
635.0ms	3961×	body	128	invalid
372.0ms	588×	body	1024	valid
372.0ms	2350×	body	128	valid
140.0ms	305×	body	512	valid
53.0ms	164×	body	256	valid
40.0ms	50×	body	2048	invalid
30.0ms	48×	body	1024	invalid
22.0ms	42×	body	512	invalid
14.0ms	15×	body	4096	invalid
6.0ms	18×	body	256	invalid
5.0ms	4×	body	8192	exit

Compiler

Compiled 2983 to 2037 computations (31.7% saved)

Details

analyze4.2s (11%)

sample354.0ms (0.9%)

simplify236.0ms (0.6%)

prune11.0ms (0%)

localize39.0ms (0.1%)

rewrite623.0ms (1.6%)

series3.8s (10%)

simplify210.0ms (0.6%)

prune522.0ms (1.4%)

localize43.0ms (0.1%)

rewrite1.3s (3.3%)

series3.2s (8.4%)

simplify351.0ms (0.9%)

prune1.0s (2.7%)

localize39.0ms (0.1%)

rewrite430.0ms (1.1%)

series2.6s (6.8%)

simplify156.0ms (0.4%)

prune338.0ms (0.9%)

localize3.0ms (0%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify13.0ms (0%)

prune1.0ms (0%)

regimes4.3s (11.3%)

bsearch11.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample14.2s (37.4%)

Profiling