Details

analyze2.1s (4.1%)

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)

sample173.0ms (0.3%)

Algorithm

1×

intervals

Results

31.0ms	412×	body	128	nan
28.0ms	59×	body	4096	valid
21.0ms	47×	body	2048	valid
20.0ms	33×	body	8192	valid
10.0ms	131×	body	128	invalid
8.0ms	85×	body	128	valid
7.0ms	24×	body	1024	valid
1.0ms	3×	body	2048	invalid
1.0ms	5×	body	512	valid
1.0ms	2×	body	1024	invalid
1.0ms	1×	body	8192	exit
0.0ms	3×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify41.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5019	69

prune8.0ms (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

58.9b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize23.0ms (0%)

Local error

Found 4 expressions with local error:

17.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
25.8b	(+.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))))

rewrite650.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

58.8b

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

Compiler

Compiled 10014 to 1186 computations (88.2% saved)

series3.2s (6.3%)

Error

32.6b

Counts

4 → 71

Calls

4 calls:

917.0ms	(+.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))))
775.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
756.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
710.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 6232 to 3915 computations (37.2% saved)

simplify100.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5046	5195

prune191.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	209	5	214
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	211	5	216

Error

32.8b

Counts

216 → 5

Compiler

Compiled 3588 to 829 computations (76.9% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 D D) h)
9.5b	(.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))))
10.9b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
17.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite1.0s (2%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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:

33.0ms	(.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))))
19.0ms	(/.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)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 14850 to 3482 computations (76.6% saved)

series2.5s (4.9%)

Error

28.7b

Counts

4 → 54

Calls

4 calls:

1.1s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
910.0ms	(.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))))
409.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
86.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2430 to 2283 computations (6% saved)

simplify156.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5016	12573

prune239.0ms (0.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	363	11	374

Error

26.0b

Counts

374 → 11

Compiler

Compiled 3140 to 1315 computations (58.1% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
8.6b	(.f64 (.f64 D D) h)
12.5b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.9b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite334.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

22.2b

Rules

176×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
107×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
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-r_binary64_1041`
7×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
5×	`associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`times-frac_binary64_1107` `div-inv_binary64_1098` `unswap-sqr_binary64_1069`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-*r/_binary64_1043`

Counts

4 → 137

Calls

4 calls:

16.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
16.0ms	(.f64 1/4 (/.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 3558 to 677 computations (81% saved)

series1.4s (2.7%)

Error

26.0b

Counts

4 → 39

Calls

4 calls:

561.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
478.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
219.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
90.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1319 computations (-8.6% saved)

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4991	3238
1	4991	3238

prune146.0ms (0.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	166	10	176
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	170	17	187

Error

22.2b

Counts

187 → 17

Compiler

Compiled 1554 to 610 computations (60.7% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

7.8b	(/.f64 (*.f64 M M) d)
8.6b	(.f64 (.f64 D D) h)
8.8b	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
9.1b	(/.f64 (.f64 (.f64 D D) h) d)

rewrite299.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

19.9b

Rules

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

Counts

4 → 115

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
6.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)
4.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2631 to 589 computations (77.6% saved)

series884.0ms (1.8%)

Error

22.2b

Counts

4 → 33

Calls

4 calls:

498.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
197.0ms	(/.f64 (.f64 (.f64 D D) h) d)
95.0ms	(/.f64 (*.f64 M M) d)
86.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1035 to 1073 computations (-3.7% saved)

simplify84.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4974	2151
1	4974	2151

prune161.0ms (0.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	135	13	148
Fresh	7	9	16
Picked	1	0	1
Done	0	0	0
Total	143	22	165

Error

19.9b

Counts

165 → 22

Compiler

Compiled 1415 to 382 computations (73% saved)

regimes30.9s (61.4%)

Accuracy

Total 6.8b remaining (26.2%)

Threshold costs 0b (0%)

Compiler

Compiled 369550 to 223102 computations (39.6% saved)

bsearch58.0ms (0.1%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	75
1	39	75

end2.0ms (0%)

Compiler: Compiled 50 to 32 computations (36% saved)

sample5.6s (11.1%)

Algorithm

1×

intervals

Results

1.0s	2130×	body	4096	valid
910.0ms	11950×	body	128	nan
702.0ms	1133×	body	8192	valid
503.0ms	1288×	body	2048	valid
313.0ms	4050×	body	128	invalid
187.0ms	631×	body	1024	valid
186.0ms	2384×	body	128	valid
67.0ms	305×	body	512	valid
21.0ms	57×	body	2048	invalid
19.0ms	129×	body	256	valid
17.0ms	50×	body	1024	invalid
11.0ms	39×	body	512	invalid
8.0ms	13×	body	8192	exit
6.0ms	12×	body	4096	invalid
4.0ms	24×	body	256	invalid

Compiler

Compiled 585 to 461 computations (21.2% saved)

Details

analyze2.1s (4.1%)

sample173.0ms (0.3%)

simplify41.0ms (0.1%)

prune8.0ms (0%)

localize23.0ms (0%)

rewrite650.0ms (1.3%)

series3.2s (6.3%)

simplify100.0ms (0.2%)

prune191.0ms (0.4%)

localize18.0ms (0%)

rewrite1.0s (2%)

series2.5s (4.9%)

simplify156.0ms (0.3%)

prune239.0ms (0.5%)

localize10.0ms (0%)

rewrite334.0ms (0.7%)

series1.4s (2.7%)

simplify89.0ms (0.2%)

prune146.0ms (0.3%)

localize10.0ms (0%)

rewrite299.0ms (0.6%)

series884.0ms (1.8%)

simplify84.0ms (0.2%)

prune161.0ms (0.3%)

regimes30.9s (61.4%)

bsearch58.0ms (0.1%)

simplify3.0ms (0%)

end2.0ms (0%)

sample5.6s (11.1%)

Profiling