Details

analyze2.4s (8.7%)

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)

sample172.0ms (0.6%)

Algorithm

1×

intervals

Results

31.0ms	60×	body	4096	valid
28.0ms	343×	body	128	nan
20.0ms	48×	body	2048	valid
17.0ms	26×	body	8192	valid
12.0ms	79×	body	128	valid
9.0ms	120×	body	128	invalid
7.0ms	22×	body	1024	valid
3.0ms	14×	body	512	valid
2.0ms	7×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

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

57.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.2b	(+.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))))

rewrite401.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

57.1b

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))))
19.0ms	(/.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.5s (9%)

Error

34.2b

Counts

4 → 71

Calls

4 calls:

677.0ms	(+.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))))
582.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
578.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
513.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5046	5195

prune338.0ms (1.2%)

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

34.6b

Counts

216 → 8

Compiler

Compiled 11208 to 2129 computations (81% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.8b	(.f64 (.f64 d d) c0)
10.5b	(.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))))
12.3b	(.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))

rewrite809.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

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:

40.0ms	(.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))))
28.0ms	(/.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)))
11.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.8s (6.7%)

Error

30.6b

Counts

4 → 54

Calls

4 calls:

772.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
595.0ms	(.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))))
313.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
91.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify200.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5118	12573

prune611.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	365	12	377

Error

28.2b

Counts

377 → 12

Compiler

Compiled 11205 to 4330 computations (61.4% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

6.4b	(.f64 (.f64 D D) h)
12.1b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.4b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite139.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

21.1b

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
29×	`pow1_binary64_1162`
18×	`pow-prod-down_binary64_1172`
14×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`add-sqr-sqrt_binary64_1123`
4×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
3×	`add-log-exp_binary64_1140`
2×	`associate-l_binary64_1042` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

3 → 88

Calls

3 calls:

14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2222 to 466 computations (79% saved)

series604.0ms (2.2%)

Error

28.2b

Counts

3 → 27

Calls

3 calls:

332.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
189.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
55.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1139 computations (6.3% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5061	1808

prune124.0ms (0.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	111	16	127

Error

21.7b

Counts

127 → 16

Compiler

Compiled 2370 to 847 computations (64.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

4.6b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
6.4b	(/.f64 (.f64 (.f64 D D) h) d)
6.4b	(.f64 (.f64 D D) h)
13.5b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite185.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

18.8b

Rules

92×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
42×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
14×	`pow1_binary64_1162`
13×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow-prod-down_binary64_1172` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`div-inv_binary64_1098`
2×	`unswap-sqr_binary64_1069` `associate-r/_binary64_1043` `associate-l_binary64_1042` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`associate-/l/_binary64_1048`

Counts

4 → 114

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
12.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
7.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2759 to 658 computations (76.2% saved)

series956.0ms (3.5%)

Error

21.7b

Counts

4 → 39

Calls

4 calls:

361.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
335.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
148.0ms	(/.f64 (.f64 (.f64 D D) h) d)
78.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1621 computations (7.6% saved)

simplify116.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4966	2377
1	4966	2377

prune165.0ms (0.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	140	13	153
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	146	23	169

Error

18.5b

Counts

169 → 23

Compiler

Compiled 2699 to 741 computations (72.5% saved)

regimes5.4s (19.7%)

Accuracy

Total 10.1b remaining (36.2%)

Threshold costs 0b (0%)

Compiler

Compiled 60895 to 42044 computations (31% saved)

bsearch26.0ms (0.1%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	82	291
1	82	291

end0.0ms (0%)

sample10.2s (37.1%)

Algorithm

1×

intervals

Results

1.3s	2147×	body	4096	valid
1.1s	11915×	body	128	nan
878.0ms	1172×	body	8192	valid
590.0ms	1249×	body	2048	valid
391.0ms	4124×	body	128	invalid
240.0ms	640×	body	1024	valid
226.0ms	2370×	body	128	valid
76.0ms	277×	body	512	valid
27.0ms	145×	body	256	valid
26.0ms	59×	body	2048	invalid
17.0ms	52×	body	1024	invalid
10.0ms	34×	body	512	invalid
9.0ms	14×	body	4096	invalid
5.0ms	7×	body	8192	exit
4.0ms	26×	body	256	invalid

Compiler

Compiled 5225 to 3556 computations (31.9% saved)

Details

analyze2.4s (8.7%)

sample172.0ms (0.6%)

simplify51.0ms (0.2%)

prune6.0ms (0%)

localize20.0ms (0.1%)

rewrite401.0ms (1.5%)

series2.5s (9%)

simplify126.0ms (0.5%)

prune338.0ms (1.2%)

localize16.0ms (0.1%)

rewrite809.0ms (2.9%)

series1.8s (6.7%)

simplify200.0ms (0.7%)

prune611.0ms (2.2%)

localize10.0ms (0%)

rewrite139.0ms (0.5%)

series604.0ms (2.2%)

simplify102.0ms (0.4%)

prune124.0ms (0.5%)

localize13.0ms (0%)

rewrite185.0ms (0.7%)

series956.0ms (3.5%)

simplify116.0ms (0.4%)

prune165.0ms (0.6%)

regimes5.4s (19.7%)

bsearch26.0ms (0.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.2s (37.1%)

Profiling