Details

analyze2.0s (11.9%)

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)

sample179.0ms (1%)

Algorithm

1×

intervals

Results

41.0ms	69×	body	4096	valid
31.0ms	368×	body	128	nan
26.0ms	39×	body	8192	valid
17.0ms	37×	body	2048	valid
12.0ms	134×	body	128	invalid
7.0ms	79×	body	128	valid
6.0ms	19×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	4×	body	256	valid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

57.7b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.7b	(+.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))))

rewrite121.0ms (0.7%)

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:

47.0ms	(+.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))))
15.0ms	(/.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)))

series2.0s (11.5%)

Counts

4 → 71

Calls

4 calls:

581.0ms	(+.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)))
460.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
453.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 5972 to 3782 computations (36.7% saved)

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5046	5195

prune305.0ms (1.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	207	7	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

37.4b

Counts

216 → 7

Compiler

Compiled 11201 to 2117 computations (81.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.0b	(.f64 h (.f64 D D))
12.5b	(.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)))))
15.7b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
16.2b	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))

rewrite142.0ms (0.8%)

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:

33.0ms	(.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)))))
20.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
11.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
6.0ms	(.f64 h (.f64 D D))

series1.4s (8.3%)

Counts

4 → 51

Calls

4 calls:

641.0ms	(/.f64 (.f64 w (.f64 (.f64 M M) (.f64 h (.f64 D D)))) (.f64 c0 (*.f64 d d)))
558.0ms	(.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)))))
159.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
55.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 2190 to 2088 computations (4.7% saved)

simplify145.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5474	9642

prune343.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	331	5	336
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	332	11	343

Error

26.1b

Counts

343 → 11

Compiler

Compiled 9144 to 2691 computations (70.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
8.0b	(.f64 h (.f64 D D))
15.7b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
16.2b	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))

rewrite64.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
107×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
32×	`pow1_binary64_1162`
28×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
19×	`pow-prod-down_binary64_1172`
10×	`add-sqr-sqrt_binary64_1123`
9×	`associate-l_binary64_1042`
7×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`div-inv_binary64_1098` `times-frac_binary64_1107` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-l/_binary64_1044` `associate-/r*_binary64_1045`

Counts

4 → 137

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
14.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
10.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
8.0ms	(.f64 h (.f64 D D))

series846.0ms (4.9%)

Counts

4 → 39

Calls

4 calls:

341.0ms	(.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (.f64 d d)) 1/4)
306.0ms	(/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) (*.f64 d d))
150.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
49.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1170 to 1284 computations (-9.7% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5013	3193

prune160.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	167	9	176
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	170	17	187

Error

20.8b

Counts

187 → 17

Compiler

Compiled 3538 to 1192 computations (66.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
5.7b	(.f64 M (.f64 h (*.f64 D D)))
8.0b	(.f64 h (.f64 D D))
16.2b	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))

rewrite44.0ms (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`
8×	`add-sqr-sqrt_binary64_1123`
7×	`-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `associate-l*_binary64_1042`
5×	`associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
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:

13.0ms	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))
10.0ms	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
7.0ms	(.f64 M (.f64 h (*.f64 D D)))
5.0ms	(.f64 h (.f64 D D))

series610.0ms (3.6%)

Counts

4 → 36

Calls

4 calls:

280.0ms	(/.f64 (.f64 (.f64 M (.f64 h (.f64 D D))) M) (*.f64 d d))
149.0ms	(.f64 (.f64 M (.f64 h (.f64 D D))) M)
124.0ms	(.f64 M (.f64 h (*.f64 D D)))
58.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1080 to 1146 computations (-6.1% saved)

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5021	1927

prune99.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	127	6	133
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	131	19	150

Error

18.8b

Counts

150 → 19

Compiler

Compiled 2332 to 572 computations (75.5% saved)

regimes1.4s (8.4%)

Accuracy

Total 8.6b remaining (31%)

Threshold costs 0b (0%)

Compiler

Compiled 19671 to 13335 computations (32.2% saved)

bsearch5.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	183
1	61	183

end0.0ms (0%)

sample6.7s (39.3%)

Algorithm

1×

intervals

Results

1.2s	2183×	body	4096	valid
1.1s	12184×	body	128	nan
791.0ms	1178×	body	8192	valid
561.0ms	1303×	body	2048	valid
421.0ms	601×	body	1024	valid
359.0ms	4096×	body	128	invalid
200.0ms	2300×	body	128	valid
75.0ms	295×	body	512	valid
23.0ms	140×	body	256	valid
21.0ms	63×	body	1024	invalid
20.0ms	49×	body	2048	invalid
12.0ms	47×	body	512	invalid
4.0ms	24×	body	256	invalid
4.0ms	5×	body	8192	exit
3.0ms	6×	body	4096	invalid

Compiler

Compiled 1819 to 1166 computations (35.9% saved)

Details

analyze2.0s (11.9%)

sample179.0ms (1%)

simplify129.0ms (0.8%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite121.0ms (0.7%)

series2.0s (11.5%)

simplify112.0ms (0.7%)

prune305.0ms (1.8%)

localize19.0ms (0.1%)

rewrite142.0ms (0.8%)

series1.4s (8.3%)

simplify145.0ms (0.8%)

prune343.0ms (2%)

localize11.0ms (0.1%)

rewrite64.0ms (0.4%)

series846.0ms (4.9%)

simplify92.0ms (0.5%)

prune160.0ms (0.9%)

localize14.0ms (0.1%)

rewrite44.0ms (0.3%)

series610.0ms (3.6%)

simplify66.0ms (0.4%)

prune99.0ms (0.6%)

regimes1.4s (8.4%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.7s (39.3%)

Profiling