Details

analyze1.9s (11.2%)

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)

sample164.0ms (1%)

Algorithm

1×

intervals

Results

30.0ms	64×	body	4096	valid
29.0ms	391×	body	128	nan
27.0ms	39×	body	8192	valid
14.0ms	37×	body	2048	valid
11.0ms	147×	body	128	invalid
7.0ms	25×	body	1024	valid
6.0ms	75×	body	128	valid
2.0ms	9×	body	512	valid
1.0ms	3×	body	2048	invalid
1.0ms	7×	body	256	valid
1.0ms	2×	body	4096	invalid
1.0ms	1×	body	8192	exit
1.0ms	2×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify214.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5500	63

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

Merged error: 59.0b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.4b	(.f64 (.f64 w h) (*.f64 D D))
14.4b	(.f64 (.f64 w h) (*.f64 D D))
15.5b	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
30.1b	(+.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))))

rewrite157.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
30×	`pow1_binary64_1483`
20×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
17×	`pow-prod-down_binary64_1493`
11×	`*-un-lft-identity_binary64_1425`
9×	`associate-l_binary64_1368` `add-sqr-sqrt_binary64_1446`
7×	`add-cube-cbrt_binary64_1457`
6×	`sqrt-div_binary64_1441` `associate-r_binary64_1367` `frac-add_binary64_1433` `add-log-exp_binary64_1461`
4×	`associate-*r/_binary64_1369` `frac-times_binary64_1435`
3×	`flip--_binary64_1400` `times-frac_binary64_1431` `flip3-+_binary64_1428` `flip-+_binary64_1399` `flip3--_binary64_1429` `*-commutative_binary64_1358`
2×	`distribute-lft-out_binary64_1378` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
1×	`distribute-lft-in_binary64_1376` `unswap-sqr_binary64_1393` `distribute-rgt-in_binary64_1377` `div-inv_binary64_1422` `sum-log_binary64_1513` `+-commutative_binary64_1357` `associate-*l/_binary64_1370`

Counts

4 → 96

Calls

4 calls:

66.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
55.0ms	(+.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))))
8.0ms	(.f64 (.f64 w h) (*.f64 D D))
8.0ms	(.f64 (.f64 w h) (*.f64 D D))

series1.9s (11.6%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.f64 (/.f64 c0 (.f64 2 w)) (+.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)))))
532.0ms	(+.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))))
102.0ms	(.f64 (.f64 w h) (*.f64 D D))
93.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5043	5421

prune190.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	103	7	110

Merged error: 29.3b

Counts

110 → 7

Compiler

Compiled 7325 to 1082 computations (85.2% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune11.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 29.3b

Counts

7 → 7

Compiler

Compiled 354 to 141 computations (60.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.4b	(.f64 (.f64 w h) (*.f64 D D))
14.4b	(.f64 (.f64 w h) (*.f64 D D))
14.4b	(.f64 (.f64 w h) (*.f64 D D))
19.0b	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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)))) (*.f64 w 2)))

rewrite115.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
42×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
40×	`pow1_binary64_1483`
24×	`pow-prod-down_binary64_1493`
9×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
4×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `associate-/r/_binary64_1373` `associate-l/_binary64_1370` `add-log-exp_binary64_1461` `-un-lft-identity_binary64_1425`
3×	`associate-l_binary64_1368` `associate-r_binary64_1367` `*-commutative_binary64_1358`
2×	`flip--_binary64_1400` `sqrt-div_binary64_1441` `frac-sub_binary64_1434` `flip3--_binary64_1429`
1×	`times-frac_binary64_1431` `frac-2neg_binary64_1436` `associate-/r_binary64_1371` `clear-num_binary64_1424` `div-inv_binary64_1422` `associate-/l_binary64_1372`

Counts

4 → 101

Calls

4 calls:

67.0ms	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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)))) (*.f64 w 2)))
8.0ms	(.f64 (.f64 w h) (*.f64 D D))
8.0ms	(.f64 (.f64 w h) (*.f64 D D))
8.0ms	(.f64 (.f64 w h) (*.f64 D D))

series2.7s (16.2%)

Counts

4 → 12

Calls

4 calls:

2.4s	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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)))) (*.f64 w 2)))
99.0ms	(.f64 (.f64 w h) (*.f64 D D))
92.0ms	(.f64 (.f64 w h) (*.f64 D D))
87.0ms	(.f64 (.f64 w h) (*.f64 D D))

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4993	3998
1	4993	3998

prune168.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	111	9	120

Merged error: 29.3b

Counts

120 → 9

Compiler

Compiled 7476 to 1068 computations (85.7% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.3b	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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 (cbrt.f64 (.f64 (.f64 w h) (.f64 D D))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))))) (.f64 M M)))) (*.f64 w 2)))
27.2b	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
27.2b	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
27.2b	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))

rewrite105.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
18×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
9×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
4×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `associate-/r/_binary64_1373` `pow1_binary64_1483` `associate-l/_binary64_1370` `add-log-exp_binary64_1461` `-un-lft-identity_binary64_1425`
3×	`cbrt-prod_binary64_1453` `pow1/3_binary64_1504`
2×	`flip--_binary64_1400` `sqrt-div_binary64_1441` `frac-sub_binary64_1434` `flip3--_binary64_1429`
1×	`times-frac_binary64_1431` `frac-2neg_binary64_1436` `associate-/r_binary64_1371` `clear-num_binary64_1424` `div-inv_binary64_1422` `associate-/l_binary64_1372`

Counts

4 → 62

Calls

4 calls:

67.0ms	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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 (cbrt.f64 (.f64 (.f64 w h) (.f64 D D))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))))) (.f64 M M)))) (*.f64 w 2)))
7.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
6.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
6.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))

series3.2s (19.2%)

Counts

4 → 12

Calls

4 calls:

2.4s	(/.f64 (.f64 c0 (.f64 M M)) (.f64 (-.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 (cbrt.f64 (.f64 (.f64 w h) (.f64 D D))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))) (cbrt.f64 (.f64 (.f64 w h) (.f64 D D)))))) (.f64 M M)))) (*.f64 w 2)))
384.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
195.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))
194.0ms	(cbrt.f64 (.f64 (.f64 w h) (*.f64 D D)))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4941	3827
1	4941	3827

prune126.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	74	9	83

Merged error: 29.3b

Counts

83 → 9

Compiler

Compiled 5726 to 776 computations (86.4% saved)

regimes253.0ms (1.5%)

Compiler: Compiled 4440 to 1887 computations (57.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.1s (30.8%)

Algorithm

1×

intervals

Results

1.0s	2102×	body	4096	valid
894.0ms	11719×	body	128	nan
740.0ms	1155×	body	8192	valid
484.0ms	1239×	body	2048	valid
317.0ms	4041×	body	128	invalid
200.0ms	644×	body	1024	valid
186.0ms	2404×	body	128	valid
71.0ms	310×	body	512	valid
22.0ms	146×	body	256	valid
21.0ms	55×	body	2048	invalid
14.0ms	49×	body	1024	invalid
10.0ms	39×	body	512	invalid
7.0ms	15×	body	4096	invalid
5.0ms	8×	body	8192	exit
2.0ms	16×	body	256	invalid

Compiler

Compiled 544 to 232 computations (57.4% saved)

Details

analyze1.9s (11.2%)

sample164.0ms (1%)

simplify214.0ms (1.3%)

prune6.0ms (0%)

localize20.0ms (0.1%)

rewrite157.0ms (1%)

series1.9s (11.6%)

simplify79.0ms (0.5%)

prune190.0ms (1.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0%)

prune11.0ms (0.1%)

localize21.0ms (0.1%)

rewrite115.0ms (0.7%)

series2.7s (16.2%)

simplify71.0ms (0.4%)

prune168.0ms (1%)

localize31.0ms (0.2%)

rewrite105.0ms (0.6%)

series3.2s (19.2%)

simplify72.0ms (0.4%)

prune126.0ms (0.8%)

regimes253.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.1s (30.8%)

Profiling