Details

analyze2.0s (8.1%)

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)

sample171.0ms (0.7%)

Algorithm

1×

intervals

Results

36.0ms	72×	body	4096	valid
31.0ms	360×	body	128	nan
21.0ms	36×	body	8192	valid
14.0ms	39×	body	2048	valid
10.0ms	134×	body	128	invalid
6.0ms	20×	body	1024	valid
6.0ms	73×	body	128	valid
2.0ms	10×	body	512	valid
1.0ms	6×	body	256	valid
1.0ms	3×	body	512	invalid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune9.0ms (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

60.5b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.5b	(+.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))))

rewrite368.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

60.4b

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:

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))))
18.0ms	(/.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 10068 to 1192 computations (88.2% saved)

series2.1s (8.4%)

Error

34.2b

Counts

4 → 71

Calls

4 calls:

589.0ms	(+.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))))
483.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
477.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
452.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify112.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5046	5195

prune298.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	208	6	214
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	209	7	216

Error

34.9b

Counts

216 → 7

Compiler

Compiled 11187 to 2109 computations (81.1% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.5b	(.f64 (.f64 d d) c0)
12.7b	(.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))))
13.8b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
15.0b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite899.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

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:

31.0ms	(.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))
14.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
10.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.6s (6.4%)

Error

29.2b

Counts

4 → 54

Calls

4 calls:

685.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
539.0ms	(.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))))
265.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
64.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify171.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5118	12573

prune506.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	360	9	369
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	362	14	376

Error

27.3b

Counts

376 → 14

Compiler

Compiled 11292 to 4379 computations (61.2% saved)

localize11.0ms (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)))
6.0b	(.f64 (.f64 D D) h)
13.5b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.3b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite213.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

22.8b

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:

20.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
11.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3728 to 727 computations (80.5% saved)

series886.0ms (3.5%)

Error

27.3b

Counts

4 → 39

Calls

4 calls:

349.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
296.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
147.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
61.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1679 computations (4.3% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4991	3238
1	4991	3238

prune163.0ms (0.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	5	8	13
Picked	1	0	1
Done	0	0	0
Total	171	19	190

Error

23.8b

Counts

190 → 19

Compiler

Compiled 3601 to 1191 computations (66.9% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

5.2b	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
6.0b	(/.f64 (*.f64 M M) d)
6.0b	(.f64 (.f64 D D) h)
14.0b	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))

rewrite167.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

21.8b

Rules

97×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
46×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
18×	`pow1_binary64_1162`
12×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`pow-prod-down_binary64_1172` `times-frac_binary64_1107`
8×	`associate-l_binary64_1042`
6×	`associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140` `associate-r_binary64_1041`
3×	`div-inv_binary64_1098`
2×	`associate-l/_binary64_1044` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`unswap-sqr_binary64_1069` `associate-/l/_binary64_1048`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
12.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)
5.0ms	(/.f64 (*.f64 M M) d)

Compiler

Compiled 2800 to 644 computations (77% saved)

series757.0ms (3%)

Error

23.8b

Counts

4 → 36

Calls

4 calls:

316.0ms	(/.f64 (.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h)) d)
279.0ms	(.f64 (/.f64 (.f64 M M) d) (.f64 (.f64 D D) h))
72.0ms	(/.f64 (*.f64 M M) d)
62.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1620 to 1498 computations (7.5% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5038	2319

prune131.0ms (0.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	8	10	18
Picked	1	0	1
Done	0	0	0
Total	150	21	171

Error

21.0b

Counts

171 → 21

Compiler

Compiled 2690 to 678 computations (74.8% saved)

regimes5.1s (20.4%)

Accuracy

Total 8.9b remaining (32.9%)

Threshold costs 0b (0%)

Compiler

Compiled 76198 to 52079 computations (31.7% saved)

bsearch10.0ms (0%)

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	45	96
1	45	96

end0.0ms (0%)

sample9.1s (36.1%)

Algorithm

1×

intervals

Results

1.0s	2099×	body	4096	valid
889.0ms	11570×	body	128	nan
711.0ms	1152×	body	8192	valid
494.0ms	1281×	body	2048	valid
308.0ms	3970×	body	128	invalid
192.0ms	621×	body	1024	valid
191.0ms	2386×	body	128	valid
64.0ms	294×	body	512	valid
24.0ms	167×	body	256	valid
22.0ms	60×	body	2048	invalid
17.0ms	49×	body	1024	invalid
7.0ms	32×	body	512	invalid
5.0ms	11×	body	4096	invalid
3.0ms	23×	body	256	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 6343 to 4356 computations (31.3% saved)

Details

analyze2.0s (8.1%)

sample171.0ms (0.7%)

simplify44.0ms (0.2%)

prune9.0ms (0%)

localize20.0ms (0.1%)

rewrite368.0ms (1.5%)

series2.1s (8.4%)

simplify112.0ms (0.4%)

prune298.0ms (1.2%)

localize17.0ms (0.1%)

rewrite899.0ms (3.6%)

series1.6s (6.4%)

simplify171.0ms (0.7%)

prune506.0ms (2%)

localize11.0ms (0%)

rewrite213.0ms (0.8%)

series886.0ms (3.5%)

simplify96.0ms (0.4%)

prune163.0ms (0.6%)

localize10.0ms (0%)

rewrite167.0ms (0.7%)

series757.0ms (3%)

simplify100.0ms (0.4%)

prune131.0ms (0.5%)

regimes5.1s (20.4%)

bsearch10.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample9.1s (36.1%)

Profiling