Details

analyze1.9s (9.2%)

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)

sample169.0ms (0.8%)

Algorithm

1×

intervals

Results

36.0ms	67×	body	4096	valid
33.0ms	442×	body	128	nan
25.0ms	39×	body	8192	valid
15.0ms	40×	body	2048	valid
10.0ms	131×	body	128	invalid
6.0ms	76×	body	128	valid
4.0ms	14×	body	1024	valid
3.0ms	13×	body	512	valid
1.0ms	7×	body	256	valid
1.0ms	3×	body	512	invalid
1.0ms	1×	body	8192	exit
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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

Merged error: 61.5b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (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)))
30.7b	(+.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))))

rewrite122.0ms (0.6%)

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:

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))))
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)))
12.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series2.1s (10.3%)

Counts

4 → 68

Calls

4 calls:

718.0ms	(+.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))))
457.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
454.0ms	(/.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)))

Compiler

Compiled 5848 to 3670 computations (37.2% saved)

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4988	5193
1	4988	5193

prune294.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	202	9	211
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	204	9	213

Merged error: 34.9b

Counts

213 → 9

Compiler

Compiled 11263 to 1886 computations (83.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.6b	(.f64 h (.f64 D D))
7.2b	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 -1/2 (/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (.f64 d d))))
12.4b	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
16.7b	(/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (*.f64 d d))

rewrite129.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

633×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
431×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
112×	`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 → 237

Calls

4 calls:

31.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 -1/2 (/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (.f64 d d))))
23.0ms	(/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (*.f64 d d))
11.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
6.0ms	(.f64 h (.f64 D D))

series1.5s (7.4%)

Counts

4 → 51

Calls

4 calls:

668.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (.f64 -1/2 (/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (.f64 d d))))
624.0ms	(/.f64 (.f64 w (.f64 c0 (.f64 (.f64 M M) (.f64 h (.f64 D D))))) (*.f64 d d))
143.0ms	(.f64 (.f64 M M) (.f64 h (.f64 D D)))
60.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 2354 to 2216 computations (5.9% saved)

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5207	8119

prune296.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	281	7	288
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	285	12	297

Merged error: 27.8b

Counts

297 → 12

Compiler

Compiled 7935 to 2255 computations (71.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M)))
6.1b	(/.f64 (.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M))) d)
6.6b	(.f64 h (.f64 D D))
12.4b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))

rewrite57.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
62×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
59×	`pow1_binary64_1162`
40×	`pow-prod-down_binary64_1172`
9×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
7×	`associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140`
3×	`-commutative_binary64_1032` `times-frac_binary64_1107` `associate-r_binary64_1041` `associate-/r_binary64_1045`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046` `unswap-sqr_binary64_1069`

Counts

4 → 113

Calls

4 calls:

15.0ms	(/.f64 (.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M))) d)
13.0ms	(.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M)))
11.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
6.0ms	(.f64 h (.f64 D D))

series838.0ms (4.1%)

Counts

4 → 42

Calls

4 calls:

382.0ms	(/.f64 (.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M))) d)
249.0ms	(.f64 c0 (.f64 (.f64 h (.f64 D D)) (*.f64 M M)))
150.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
56.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1624 to 1528 computations (5.9% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5003	2489

prune150.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	157	10	167

Merged error: 25.6b

Counts

167 → 10

Compiler

Compiled 3568 to 1333 computations (62.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.3b	(/.f64 c0 (/.f64 d (/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)))
6.6b	(.f64 h (.f64 D D))
6.7b	(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)
12.4b	(.f64 (.f64 h (.f64 D D)) (.f64 M M))

rewrite227.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

2175×	`times-frac_binary64_1107`
869×	`add-sqr-sqrt_binary64_1123`
868×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
280×	`distribute-rgt-neg-in_binary64_1059` `distribute-lft-neg-in_binary64_1058`
182×	`associate-/r*_binary64_1045`
98×	`div-inv_binary64_1098`
41×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
40×	`neg-mul-1_binary64_1097`
30×	`pow1_binary64_1162`
21×	`associate-/l*_binary64_1046`
18×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
7×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`associate-/r/_binary64_1047`
4×	`add-log-exp_binary64_1140` `associate-l_binary64_1042`
2×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-r*_binary64_1041`
1×	`distribute-neg-frac_binary64_1065` `neg-sub0_binary64_1096` `associate-/l/_binary64_1048` `distribute-frac-neg_binary64_1064` `unswap-sqr_binary64_1069` `div-sub_binary64_1106`

Counts

4 → 873

Calls

4 calls:

39.0ms	(/.f64 c0 (/.f64 d (/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)))
13.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
7.0ms	(.f64 h (.f64 D D))
7.0ms	(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)

series1.1s (5.3%)

Counts

4 → 45

Calls

4 calls:

431.0ms	(/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)
428.0ms	(/.f64 c0 (/.f64 d (/.f64 (neg.f64 (/.f64 (.f64 (.f64 h (.f64 D D)) (.f64 M M)) c0)) d)))
155.0ms	(.f64 (.f64 h (.f64 D D)) (.f64 M M))
61.0ms	(.f64 h (.f64 D D))

Compiler

Compiled 1732 to 1720 computations (0.7% saved)

simplify363.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

918 → 918

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4998	40946
1	4998	40946

prune1.0s (5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	904	14	918
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	907	21	928

Merged error: 22.4b

Counts

928 → 21

Compiler

Compiled 32965 to 5346 computations (83.8% saved)

regimes2.5s (12.3%)

Compiler: Compiled 39529 to 25736 computations (34.9% saved)

bsearch11.0ms (0.1%)

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	153	396
1	153	396

end0.0ms (0%)

sample7.0s (34.9%)

Algorithm

1×

intervals

Results

1.0s	2158×	body	4096	valid
924.0ms	11853×	body	128	nan
720.0ms	1160×	body	8192	valid
485.0ms	1242×	body	2048	valid
323.0ms	4111×	body	128	invalid
199.0ms	2389×	body	128	valid
182.0ms	607×	body	1024	valid
70.0ms	298×	body	512	valid
22.0ms	146×	body	256	valid
18.0ms	61×	body	1024	invalid
18.0ms	47×	body	2048	invalid
10.0ms	42×	body	512	invalid
7.0ms	14×	body	4096	invalid
4.0ms	7×	body	8192	exit
3.0ms	21×	body	256	invalid

Compiler

Compiled 4127 to 2577 computations (37.6% saved)

Details

analyze1.9s (9.2%)

sample169.0ms (0.8%)

simplify132.0ms (0.7%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite122.0ms (0.6%)

series2.1s (10.3%)

simplify84.0ms (0.4%)

prune294.0ms (1.5%)

localize17.0ms (0.1%)

rewrite129.0ms (0.6%)

series1.5s (7.4%)

simplify136.0ms (0.7%)

prune296.0ms (1.5%)

localize13.0ms (0.1%)

rewrite57.0ms (0.3%)

series838.0ms (4.1%)

simplify67.0ms (0.3%)

prune150.0ms (0.7%)

localize13.0ms (0.1%)

rewrite227.0ms (1.1%)

series1.1s (5.3%)

simplify363.0ms (1.8%)

prune1.0s (5%)

regimes2.5s (12.3%)

bsearch11.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample7.0s (34.9%)

Profiling