Details

analyze1.9s (9.5%)

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)

sample172.0ms (0.9%)

Algorithm

1×

intervals

Results

35.0ms	63×	body	4096	valid
31.0ms	394×	body	128	nan
23.0ms	38×	body	8192	valid
13.0ms	34×	body	2048	valid
9.0ms	124×	body	128	invalid
7.0ms	25×	body	1024	valid
6.0ms	85×	body	128	valid
2.0ms	7×	body	512	valid
1.0ms	3×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	4096	invalid
0.0ms	3×	body	256	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

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

58.7b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.9b	(+.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))))

rewrite354.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

58.6b

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:

52.0ms	(+.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))))
14.0ms	(/.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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.0s (10.4%)

Error

35.4b

Counts

4 → 71

Calls

4 calls:

572.0ms	(+.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))))
463.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
461.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
451.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5046	5195

prune293.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	208	8	216

Error

35.6b

Counts

216 → 8

Compiler

Compiled 11239 to 2133 computations (81% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (.f64 d d) c0)
12.3b	(.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))))
12.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.2b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite676.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

26.9b

Rules

917×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
623×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
166×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
46×	`pow1_binary64_1162`
30×	`pow-prod-down_binary64_1172`
9×	`associate-l_binary64_1042`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
3×	`-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` `unswap-sqr_binary64_1069`

Counts

4 → 315

Calls

4 calls:

31.0ms	(.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))))
19.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
14.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.6s (8.1%)

Error

29.5b

Counts

4 → 54

Calls

4 calls:

656.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
536.0ms	(.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))))
262.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
62.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5118	12573

prune478.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	363	14	377

Error

25.8b

Counts

377 → 14

Compiler

Compiled 11333 to 4385 computations (61.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 c0 (.f64 d d))
13.5b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
15.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
20.9b	(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))))

rewrite210.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

25.1b

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-l_binary64_1042`
3×	`unpow-prod-down_binary64_1180` `pow-pow_binary64_1173`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098` `associate-r_binary64_1041` `*-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:

19.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
11.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 c0 (.f64 d d))
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 1097 computations (78.2% saved)

series1.4s (7.1%)

Error

25.0b

Counts

4 → 51

Calls

4 calls:

668.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
443.0ms	(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))))
163.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
58.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 3451 to 2866 computations (17% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5117	4069

prune194.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	182	12	194

Error

25.0b

Counts

194 → 12

Compiler

Compiled 5306 to 1498 computations (71.8% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

25.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 25.0b
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

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Error

25.0b

Counts

12 → 12

Compiler

Compiled 0 to 0 computations (0% saved)

regimes2.5s (12.9%)

Accuracy

Total 5.1b remaining (16.6%)

Threshold costs 0b (0%)

Compiler

Compiled 33962 to 22077 computations (35% saved)

bsearch6.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms (0%)

sample7.2s (36.9%)

Algorithm

1×

intervals

Results

1.0s	2083×	body	4096	valid
934.0ms	11949×	body	128	nan
694.0ms	1114×	body	8192	valid
531.0ms	1365×	body	2048	valid
313.0ms	4021×	body	128	invalid
199.0ms	2387×	body	128	valid
187.0ms	612×	body	1024	valid
69.0ms	309×	body	512	valid
26.0ms	68×	body	2048	invalid
20.0ms	130×	body	256	valid
19.0ms	63×	body	1024	invalid
9.0ms	42×	body	512	invalid
7.0ms	14×	body	4096	invalid
3.0ms	21×	body	256	invalid
3.0ms	5×	body	8192	exit

Compiler

Compiled 3450 to 2236 computations (35.2% saved)

Details

analyze1.9s (9.5%)

sample172.0ms (0.9%)

simplify136.0ms (0.7%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite354.0ms (1.8%)

series2.0s (10.4%)

simplify109.0ms (0.6%)

prune293.0ms (1.5%)

localize20.0ms (0.1%)

rewrite676.0ms (3.5%)

series1.6s (8.1%)

simplify162.0ms (0.8%)

prune478.0ms (2.4%)

localize20.0ms (0.1%)

rewrite210.0ms (1.1%)

series1.4s (7.1%)

simplify74.0ms (0.4%)

prune194.0ms (1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune1.0ms (0%)

regimes2.5s (12.9%)

bsearch6.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.2s (36.9%)

Profiling