Details

analyze2.1s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5624	1248
0	6	6
1	6	6

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)

sample171.0ms (0.9%)

Algorithm

1×

intervals

Results

42.0ms	75×	body	4096	valid
28.0ms	361×	body	128	nan
22.0ms	37×	body	8192	valid
14.0ms	36×	body	2048	valid
8.0ms	98×	body	128	invalid
6.0ms	19×	body	1024	valid
6.0ms	72×	body	128	valid
3.0ms	12×	body	512	valid
2.0ms	6×	body	2048	invalid
1.0ms	5×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify42.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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

59.0b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
32.0b	(+.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))))

rewrite362.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

59.0b

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

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.0s (10.2%)

Error

33.6b

Counts

4 → 71

Calls

4 calls:

574.0ms	(+.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))))
468.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
458.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
432.0ms	(/.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

prune493.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

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

Error

33.7b

Counts

216 → 7

Compiler

Compiled 11174 to 2107 computations (81.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.5b	(.f64 (.f64 D D) h)
10.9b	(.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))))
13.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
14.3b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite653.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

25.2b

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:

33.0ms	(.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))
13.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 15201 to 3600 computations (76.3% saved)

series1.6s (7.8%)

Error

28.1b

Counts

4 → 54

Calls

4 calls:

646.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
534.0ms	(.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)))
63.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3510 to 2973 computations (15.3% saved)

simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5016	12573

prune508.0ms (2.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	364	12	376

Error

25.1b

Counts

376 → 12

Compiler

Compiled 11265 to 4372 computations (61.2% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.5b	(.f64 (.f64 D D) h)
13.9b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.3b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
21.2b	(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))))

rewrite218.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

24.4b

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:

20.0ms	(/.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 (.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 (6.9%)

Error

24.4b

Counts

4 → 51

Calls

4 calls:

643.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
455.0ms	(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))))
161.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
65.0ms	(.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

prune190.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	182	10	192

Error

24.4b

Counts

192 → 10

Compiler

Compiled 5236 to 1479 computations (71.8% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

24.4b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 24.4b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	1	1
Total	10	10

Error

24.4b

Counts

10 → 10

Compiler

Compiled 0 to 0 computations (0% saved)

regimes2.4s (11.9%)

Accuracy

Total 5.1b remaining (17%)

Threshold costs 0b (0%)

Compiler

Compiled 38614 to 24016 computations (37.8% saved)

bsearch7.0ms (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	29	45
1	29	45

end0.0ms (0%)

sample7.5s (37.5%)

Algorithm

1×

intervals

Results

1.1s	2158×	body	4096	valid
923.0ms	11374×	body	128	nan
739.0ms	1155×	body	8192	valid
531.0ms	1322×	body	2048	valid
318.0ms	3863×	body	128	invalid
195.0ms	622×	body	1024	valid
191.0ms	2309×	body	128	valid
74.0ms	300×	body	512	valid
24.0ms	61×	body	2048	invalid
20.0ms	134×	body	256	valid
18.0ms	57×	body	1024	invalid
7.0ms	12×	body	8192	exit
6.0ms	13×	body	4096	invalid
6.0ms	26×	body	512	invalid
6.0ms	36×	body	256	invalid

Compiler

Compiled 3931 to 2437 computations (38% saved)

Details

analyze2.1s (10.3%)

sample171.0ms (0.9%)

simplify42.0ms (0.2%)

prune6.0ms (0%)

localize21.0ms (0.1%)

rewrite362.0ms (1.8%)

series2.0s (10.2%)

simplify104.0ms (0.5%)

prune493.0ms (2.5%)

localize18.0ms (0.1%)

rewrite653.0ms (3.3%)

series1.6s (7.8%)

simplify162.0ms (0.8%)

prune508.0ms (2.5%)

localize19.0ms (0.1%)

rewrite218.0ms (1.1%)

series1.4s (6.9%)

simplify77.0ms (0.4%)

prune190.0ms (1%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune1.0ms (0%)

regimes2.4s (11.9%)

bsearch7.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.5s (37.5%)

Profiling