Details

analyze2.6s (9%)

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)

sample210.0ms (0.7%)

Algorithm

1×

intervals

Results

49.0ms	80×	body	4096	valid
39.0ms	406×	body	128	nan
20.0ms	29×	body	8192	valid
20.0ms	42×	body	2048	valid
13.0ms	154×	body	128	invalid
7.0ms	18×	body	1024	valid
7.0ms	73×	body	128	valid
2.0ms	10×	body	512	valid
2.0ms	5×	body	2048	invalid
1.0ms	4×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

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

58.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.2b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
30.4b	(+.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))))

rewrite438.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

58.4b

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:

65.0ms	(+.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))))
16.0ms	(/.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)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series2.4s (8.4%)

Error

35.4b

Counts

4 → 71

Calls

4 calls:

664.0ms	(+.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))))
556.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
553.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
532.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify173.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5046	5195

prune356.0ms (1.2%)

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

36.3b

Counts

216 → 7

Compiler

Compiled 11194 to 2104 computations (81.2% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 d d) c0)
12.5b	(.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))))
15.2b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
18.1b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))

rewrite962.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

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:

32.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
30.0ms	(.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))))
15.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
6.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.9s (6.6%)

Error

31.7b

Counts

4 → 54

Calls

4 calls:

794.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
652.0ms	(.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))))
305.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
84.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify197.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5118	12573

prune572.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	365	11	376

Error

29.3b

Counts

376 → 11

Compiler

Compiled 11186 to 4298 computations (61.6% 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)))
7.0b	(.f64 (.f64 D D) h)
15.8b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
16.6b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

rewrite285.0ms (1%)

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:

29.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
21.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
12.0ms	(.f64 (.f64 D D) h)
10.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))

Compiler

Compiled 3728 to 727 computations (80.5% saved)

series1.1s (3.7%)

Error

29.3b

Counts

4 → 39

Calls

4 calls:

423.0ms	(.f64 1/4 (/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (.f64 d d)))
353.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
174.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
59.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1679 computations (4.3% saved)

simplify93.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4991	3238
1	4991	3238

prune219.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	165	11	176
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	169	18	187

Error

23.2b

Counts

187 → 18

Compiler

Compiled 3538 to 1253 computations (64.6% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

5.9b	(/.f64 (.f64 (.f64 D D) h) d)
7.0b	(.f64 (.f64 D D) h)
7.0b	(/.f64 (*.f64 M M) d)
13.6b	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))

rewrite217.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

19.1b

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` `*-un-lft-identity_binary64_1101` `times-frac_binary64_1107`
11×	`pow1_binary64_1162`
10×	`associate-r_binary64_1041`
8×	`associate-l_binary64_1042`
6×	`associate-/r*_binary64_1045`
4×	`pow-prod-down_binary64_1172` `add-log-exp_binary64_1140` `div-inv_binary64_1098`
3×	`unswap-sqr_binary64_1069`
2×	`-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046`
1×	`frac-times_binary64_1111` `associate-l/_binary64_1044` `associate-r/_binary64_1043`

Counts

4 → 115

Calls

4 calls:

25.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
13.0ms	(/.f64 (.f64 (.f64 D D) h) d)
12.0ms	(/.f64 (*.f64 M M) d)
11.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2699 to 609 computations (77.4% saved)

series695.0ms (2.4%)

Error

23.2b

Counts

4 → 33

Calls

4 calls:

360.0ms	(.f64 (/.f64 (.f64 M M) d) (/.f64 (.f64 (.f64 D D) h) d))
155.0ms	(/.f64 (.f64 (.f64 D D) h) d)
77.0ms	(/.f64 (*.f64 M M) d)
68.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1485 to 1322 computations (11% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4974	2151
1	4974	2151

prune124.0ms (0.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	139	9	148
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	147	19	166

Error

19.7b

Counts

166 → 19

Compiler

Compiled 2669 to 605 computations (77.3% saved)

regimes5.4s (19%)

Accuracy

Total 8.3b remaining (30.4%)

Threshold costs 0b (0%)

Compiler

Compiled 58088 to 41391 computations (28.7% saved)

bsearch14.0ms (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	42	60
1	42	60

end0.0ms (0%)

sample10.5s (36.5%)

Algorithm

1×

intervals

Results

1.2s	2099×	body	4096	valid
1.1s	11960×	body	128	nan
855.0ms	1138×	body	8192	valid
634.0ms	1310×	body	2048	valid
379.0ms	3995×	body	128	invalid
234.0ms	629×	body	1024	valid
221.0ms	2364×	body	128	valid
92.0ms	303×	body	512	valid
29.0ms	157×	body	256	valid
25.0ms	49×	body	2048	invalid
25.0ms	67×	body	1024	invalid
12.0ms	37×	body	512	invalid
9.0ms	16×	body	4096	invalid
5.0ms	8×	body	8192	exit
4.0ms	21×	body	256	invalid

Compiler

Compiled 5229 to 3739 computations (28.5% saved)

Details

analyze2.6s (9%)

sample210.0ms (0.7%)

simplify55.0ms (0.2%)

prune9.0ms (0%)

localize19.0ms (0.1%)

rewrite438.0ms (1.5%)

series2.4s (8.4%)

simplify173.0ms (0.6%)

prune356.0ms (1.2%)

localize26.0ms (0.1%)

rewrite962.0ms (3.4%)

series1.9s (6.6%)

simplify197.0ms (0.7%)

prune572.0ms (2%)

localize10.0ms (0%)

rewrite285.0ms (1%)

series1.1s (3.7%)

simplify93.0ms (0.3%)

prune219.0ms (0.8%)

localize10.0ms (0%)

rewrite217.0ms (0.8%)

series695.0ms (2.4%)

simplify118.0ms (0.4%)

prune124.0ms (0.4%)

regimes5.4s (19%)

bsearch14.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample10.5s (36.5%)

Profiling