Details

analyze2.1s (6.4%)

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)

sample180.0ms (0.6%)

Algorithm

1×

intervals

Results

38.0ms	79×	body	4096	valid
31.0ms	389×	body	128	nan
23.0ms	37×	body	8192	valid
14.0ms	38×	body	2048	valid
9.0ms	120×	body	128	invalid
8.0ms	16×	body	512	valid
5.0ms	65×	body	128	valid
5.0ms	16×	body	1024	valid
1.0ms	3×	body	1024	invalid
1.0ms	5×	body	256	valid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

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

59.2b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.3b	(+.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))))

rewrite439.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

58.9b

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:

51.0ms	(+.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))))
20.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 10068 to 1192 computations (88.2% saved)

series3.5s (10.6%)

Error

33.1b

Counts

4 → 71

Calls

4 calls:

1.1s	(+.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))))
804.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
733.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
714.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5046	5195

prune371.0ms (1.1%)

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

33.3b

Counts

216 → 7

Compiler

Compiled 11164 to 2105 computations (81.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

9.6b	(.f64 (.f64 D D) h)
12.6b	(.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))))
13.0b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
16.8b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite855.0ms (2.6%)

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:

34.0ms	(.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))))
20.0ms	(/.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)))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 15201 to 3600 computations (76.3% saved)

series2.6s (7.9%)

Error

28.5b

Counts

4 → 54

Calls

4 calls:

1.2s	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
844.0ms	(.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))))
404.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
90.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 3510 to 2973 computations (15.3% saved)

simplify159.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5016	12573

prune554.0ms (1.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	362	7	369
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	363	13	376

Error

26.6b

Counts

376 → 13

Compiler

Compiled 11254 to 4392 computations (61% saved)

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

9.6b	(.f64 (.f64 D D) h)
13.2b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
17.0b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite164.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

19.4b

Rules

94×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
55×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
29×	`pow1_binary64_1162`
18×	`pow-prod-down_binary64_1172`
14×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
5×	`add-sqr-sqrt_binary64_1123`
4×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
3×	`add-log-exp_binary64_1140`
2×	`associate-l_binary64_1042` `*-commutative_binary64_1032`
1×	`frac-2neg_binary64_1112` `times-frac_binary64_1107` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `unswap-sqr_binary64_1069`

Counts

3 → 88

Calls

3 calls:

14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
13.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2222 to 466 computations (79% saved)

series825.0ms (2.5%)

Error

26.6b

Counts

3 → 27

Calls

3 calls:

462.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
246.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
92.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1139 computations (6.3% saved)

simplify79.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5061	1808

prune142.0ms (0.4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	106	9	115
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	110	18	128

Error

19.0b

Counts

128 → 18

Compiler

Compiled 2457 to 896 computations (63.5% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

3.2b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
6.2b	(/.f64 (.f64 (.f64 D D) h) d)
9.6b	(.f64 (.f64 D D) h)
13.3b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite299.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

16.4b

Rules

92×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
42×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
24×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
14×	`pow1_binary64_1162`
13×	`add-sqr-sqrt_binary64_1123`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
10×	`associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow-prod-down_binary64_1172` `associate-/r*_binary64_1045`
4×	`add-log-exp_binary64_1140`
3×	`div-inv_binary64_1098`
2×	`unswap-sqr_binary64_1069` `associate-r/_binary64_1043` `associate-l_binary64_1042` `-commutative_binary64_1032` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l*_binary64_1046`
1×	`associate-/l/_binary64_1048`

Counts

4 → 114

Calls

4 calls:

13.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
13.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
7.0ms	(/.f64 (.f64 (.f64 D D) h) d)
6.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2759 to 658 computations (76.2% saved)

series2.0s (6.1%)

Error

18.7b

Counts

4 → 39

Calls

4 calls:

805.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
638.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
321.0ms	(/.f64 (.f64 (.f64 D D) h) d)
151.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1621 computations (7.6% saved)

simplify177.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4966	2377
1	4966	2377

prune248.0ms (0.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	141	12	153
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	147	24	171

Error

15.5b

Counts

171 → 24

Compiler

Compiled 2699 to 741 computations (72.5% saved)

regimes6.0s (18.5%)

Accuracy

Total 9.0b remaining (33.2%)

Threshold costs 0b (0%)

Compiler

Compiled 62508 to 39502 computations (36.8% saved)

bsearch449.0ms (1.4%)

Steps

Iters	Range	Point
10	6.183053046081429e+144	1.0789979528833688e+155	5.81954129307857e+153
7	-2.412287446108245e+86	-4.875436952307378e+84	-1.2162146492768503e+85
7	-3.7913550379714712e+155	-6.2751409040874826e+153	-1.0014621651146908e+154

Iters

Range

Point

6.183053046081429e+144

1.0789979528833688e+155

5.81954129307857e+153

-2.412287446108245e+86

-4.875436952307378e+84

-1.2162146492768503e+85

-3.7913550379714712e+155

-6.2751409040874826e+153

-1.0014621651146908e+154

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	73	130
1	73	130

end0.0ms (0%)

sample11.3s (34.6%)

Algorithm

1×

intervals

Results

1.3s	2175×	body	4096	valid
1.1s	11799×	body	128	nan
852.0ms	1124×	body	8192	valid
612.0ms	1274×	body	2048	valid
367.0ms	3895×	body	128	invalid
229.0ms	2355×	body	128	valid
225.0ms	612×	body	1024	valid
85.0ms	310×	body	512	valid
31.0ms	150×	body	256	valid
28.0ms	58×	body	2048	invalid
19.0ms	51×	body	1024	invalid
16.0ms	54×	body	512	invalid
8.0ms	12×	body	4096	invalid
5.0ms	8×	body	8192	exit
5.0ms	22×	body	256	invalid

Compiler

Compiled 5195 to 3318 computations (36.1% saved)

Details

analyze2.1s (6.4%)

sample180.0ms (0.6%)

simplify42.0ms (0.1%)

prune8.0ms (0%)

localize24.0ms (0.1%)

rewrite439.0ms (1.3%)

series3.5s (10.6%)

simplify105.0ms (0.3%)

prune371.0ms (1.1%)

localize23.0ms (0.1%)

rewrite855.0ms (2.6%)

series2.6s (7.9%)

simplify159.0ms (0.5%)

prune554.0ms (1.7%)

localize11.0ms (0%)

rewrite164.0ms (0.5%)

series825.0ms (2.5%)

simplify79.0ms (0.2%)

prune142.0ms (0.4%)

localize10.0ms (0%)

rewrite299.0ms (0.9%)

series2.0s (6.1%)

simplify177.0ms (0.5%)

prune248.0ms (0.8%)

regimes6.0s (18.5%)

bsearch449.0ms (1.4%)

simplify4.0ms (0%)

end0.0ms (0%)

sample11.3s (34.6%)

Profiling