Details

analyze2.0s (10.1%)

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

Symmetry

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample195.0ms (1%)

Algorithm

1×

intervals

Results

44.0ms	83×	body	4096	valid
31.0ms	371×	body	128	nan
23.0ms	35×	body	2048	valid
23.0ms	33×	body	8192	valid
12.0ms	135×	body	128	invalid
7.0ms	22×	body	1024	valid
6.0ms	75×	body	128	valid
1.0ms	4×	body	1024	invalid
1.0ms	6×	body	512	valid
1.0ms	2×	body	2048	invalid
0.0ms	2×	body	256	valid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune8.0ms (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

60.5b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.5b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.5b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.5b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.3b	(+.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))))

rewrite333.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

60.0b

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:

49.0ms	(+.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))))
17.0ms	(/.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 (9.9%)

Error

35.0b

Counts

4 → 71

Calls

4 calls:

554.0ms	(+.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))))
453.0ms	(/.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)))
421.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify101.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5046	5195

prune281.0ms (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

34.8b

Counts

216 → 6

Compiler

Compiled 11112 to 2081 computations (81.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (.f64 D D) h)
12.9b	(.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))))
13.1b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
17.6b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite861.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

29.0b

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))))
20.0ms	(/.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)

series1.5s (7.7%)

Error

30.1b

Counts

4 → 54

Calls

4 calls:

659.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
527.0ms	(.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))))
254.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
53.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3510 to 2973 computations (15.3% saved)

simplify161.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5016	12573

prune484.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	364	11	375

Error

28.1b

Counts

375 → 11

Compiler

Compiled 11158 to 4341 computations (61.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.4b	(.f64 (.f64 D D) h)
16.4b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.6b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
23.7b	(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))))

rewrite216.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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:

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 (.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)

series1.3s (6.7%)

Error

26.6b

Counts

4 → 51

Calls

4 calls:

636.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 (.f64 D D) h))) (.f64 c0 (*.f64 d d)))
440.0ms	(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))))
162.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
55.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3451 to 2874 computations (16.7% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5201	4071

prune184.0ms (0.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	182	9	191

Error

26.6b

Counts

191 → 9

Compiler

Compiled 5129 to 1448 computations (71.8% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 26.6b
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

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

26.6b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes2.8s (14%)

Accuracy

Total 5.1b remaining (16.2%)

Threshold costs 0b (0%)

Compiler

Compiled 39581 to 28184 computations (28.8% saved)

bsearch6.0ms (0%)

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

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	45
1	31	45

Removed

()

end0.0ms (0%)

sample7.3s (36.5%)

Algorithm

1×

intervals

Results

1.0s	2090×	body	4096	valid
907.0ms	11569×	body	128	nan
710.0ms	1156×	body	8192	valid
491.0ms	1258×	body	2048	valid
315.0ms	3970×	body	128	invalid
211.0ms	656×	body	1024	valid
187.0ms	2383×	body	128	valid
69.0ms	299×	body	512	valid
24.0ms	158×	body	256	valid
18.0ms	60×	body	1024	invalid
18.0ms	47×	body	2048	invalid
9.0ms	40×	body	512	invalid
7.0ms	36×	body	256	invalid
6.0ms	7×	body	8192	exit
3.0ms	7×	body	4096	invalid

Compiler

Compiled 3311 to 2361 computations (28.7% saved)

Details

analyze2.0s (10.1%)

sample195.0ms (1%)

simplify43.0ms (0.2%)

prune8.0ms (0%)

localize20.0ms (0.1%)

rewrite333.0ms (1.7%)

series2.0s (9.9%)

simplify101.0ms (0.5%)

prune281.0ms (1.4%)

localize17.0ms (0.1%)

rewrite861.0ms (4.3%)

series1.5s (7.7%)

simplify161.0ms (0.8%)

prune484.0ms (2.4%)

localize17.0ms (0.1%)

rewrite216.0ms (1.1%)

series1.3s (6.7%)

simplify74.0ms (0.4%)

prune184.0ms (0.9%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune1.0ms (0%)

regimes2.8s (14%)

bsearch6.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.3s (36.5%)

Profiling