Details

analyze3.7s (12.1%)

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)

sample319.0ms (1.1%)

Algorithm

1×

intervals

Results

66.0ms	70×	body	4096	valid
65.0ms	391×	body	128	nan
41.0ms	35×	body	8192	valid
28.0ms	38×	body	2048	valid
23.0ms	139×	body	128	invalid
11.0ms	76×	body	128	valid
10.0ms	18×	body	1024	valid
7.0ms	15×	body	512	valid
2.0ms	2×	body	2048	invalid
2.0ms	1×	body	8192	exit
1.0ms	1×	body	4096	invalid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify224.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5019	69

prune12.0ms (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

58.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.0b	(+.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))))

rewrite227.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
45×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 143

Calls

4 calls:

96.0ms	(+.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))))
25.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series4.1s (13.7%)

Counts

4 → 78

Calls

4 calls:

1.7s	(+.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))))
820.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
810.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
801.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6441 to 4160 computations (35.4% saved)

simplify207.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5027	5571

prune517.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	216	7	223

Error

31.3b

Counts

223 → 7

Compiler

Compiled 11481 to 2151 computations (81.3% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.9b	(.f64 c0 (.f64 d d))
9.9b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
12.7b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
16.7b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))

rewrite276.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

819×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
557×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
148×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
35×	`pow1_binary64_1162`
21×	`pow-prod-down_binary64_1172`
11×	`associate-l_binary64_1042`
8×	`add-sqr-sqrt_binary64_1123`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `times-frac_binary64_1107`
3×	`-commutative_binary64_1032` `associate-r/_binary64_1043` `associate-r_binary64_1041`
2×	`div-inv_binary64_1098`
1×	`frac-times_binary64_1111` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044` `associate-/r*_binary64_1045`

Counts

4 → 285

Calls

4 calls:

63.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
37.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
21.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
11.0ms	(.f64 c0 (.f64 d d))

series2.4s (8.1%)

Counts

4 → 51

Calls

4 calls:

1.1s	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
949.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 1/2 (/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (.f64 d d)))))
275.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
98.0ms	(.f64 c0 (.f64 d d))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify264.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5464	9642

prune604.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	330	6	336
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	331	12	343

Error

23.6b

Counts

343 → 12

Compiler

Compiled 9156 to 2649 computations (71.1% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

7.7b	(.f64 h (.f64 D D))
12.9b	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
16.7b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))

rewrite75.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
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×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-l*_binary64_1042`
3×	`add-log-exp_binary64_1140`
2×	`-commutative_binary64_1032` `associate-r*_binary64_1041`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`

Counts

3 → 88

Calls

3 calls:

30.0ms	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
19.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
10.0ms	(.f64 h (.f64 D D))

series1.2s (4.2%)

Counts

3 → 27

Calls

3 calls:

890.0ms	(/.f64 (.f64 (.f64 M M) (.f64 h (.f64 D D))) (*.f64 d d))
267.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
92.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 810 to 876 computations (-8.1% saved)

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5026	1803

prune200.0ms (0.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	108	7	115
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	114	13	127

Error

18.8b

Counts

127 → 13

Compiler

Compiled 2339 to 836 computations (64.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.5b	(.f64 M (.f64 M (.f64 h (.f64 D D))))
6.7b	(.f64 M (.f64 h (*.f64 D D)))
7.7b	(.f64 h (.f64 D D))
12.9b	(/.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (*.f64 d d))

rewrite93.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
44×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
32×	`pow1_binary64_1162`
19×	`pow-prod-down_binary64_1172`
10×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
9×	`associate-l_binary64_1042`
8×	`add-sqr-sqrt_binary64_1123`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `associate-r*_binary64_1041`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`

Counts

4 → 97

Calls

4 calls:

30.0ms	(/.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (*.f64 d d))
20.0ms	(.f64 M (.f64 M (.f64 h (.f64 D D))))
14.0ms	(.f64 M (.f64 h (*.f64 D D)))
11.0ms	(.f64 h (.f64 D D))

series1.1s (3.6%)

Counts

4 → 36

Calls

4 calls:

524.0ms	(/.f64 (.f64 M (.f64 M (.f64 h (.f64 D D)))) (*.f64 d d))
256.0ms	(.f64 M (.f64 M (.f64 h (.f64 D D))))
199.0ms	(.f64 M (.f64 h (*.f64 D D)))
95.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1080 to 1146 computations (-6.1% saved)

simplify149.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5091	1912

prune168.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	124	9	133
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	128	18	146

Error

15.5b

Counts

146 → 18

Compiler

Compiled 2318 to 647 computations (72.1% saved)

regimes2.7s (9%)

Accuracy

Total 6.8b remaining (26.7%)

Threshold costs 0b (0%)

Compiler

Compiled 20770 to 13640 computations (34.3% saved)

bsearch6.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	53
1	32	53

end0.0ms (0%)

sample11.3s (37.5%)

Algorithm

1×

intervals

Results

2.0s	2194×	body	4096	valid
1.8s	11976×	body	128	nan
1.4s	1169×	body	8192	valid
978.0ms	1294×	body	2048	valid
612.0ms	4079×	body	128	invalid
350.0ms	2335×	body	128	valid
329.0ms	558×	body	1024	valid
130.0ms	302×	body	512	valid
43.0ms	58×	body	2048	invalid
43.0ms	148×	body	256	valid
41.0ms	66×	body	1024	invalid
15.0ms	16×	body	4096	invalid
13.0ms	30×	body	512	invalid
7.0ms	23×	body	256	invalid
6.0ms	5×	body	8192	exit

Compiler

Compiled 1786 to 1161 computations (35% saved)

Details

analyze3.7s (12.1%)

sample319.0ms (1.1%)

simplify224.0ms (0.7%)

prune12.0ms (0%)

localize39.0ms (0.1%)

rewrite227.0ms (0.8%)

series4.1s (13.7%)

simplify207.0ms (0.7%)

prune517.0ms (1.7%)

localize33.0ms (0.1%)

rewrite276.0ms (0.9%)

series2.4s (8.1%)

simplify264.0ms (0.9%)

prune604.0ms (2%)

localize20.0ms (0.1%)

rewrite75.0ms (0.2%)

series1.2s (4.2%)

simplify139.0ms (0.5%)

prune200.0ms (0.7%)

localize19.0ms (0.1%)

rewrite93.0ms (0.3%)

series1.1s (3.6%)

simplify149.0ms (0.5%)

prune168.0ms (0.6%)

regimes2.7s (9%)

bsearch6.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.3s (37.5%)

Profiling