Details

analyze2.4s (8.3%)

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)

sample209.0ms (0.7%)

Algorithm

1×

intervals

Results

42.0ms	67×	body	4096	valid
33.0ms	368×	body	128	nan
30.0ms	43×	body	8192	valid
18.0ms	41×	body	2048	valid
15.0ms	79×	body	128	valid
12.0ms	135×	body	128	invalid
4.0ms	11×	body	1024	valid
3.0ms	5×	body	2048	invalid
3.0ms	10×	body	512	valid
1.0ms	5×	body	256	valid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

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

Error

59.6b

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)))
29.6b	(+.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))))

rewrite396.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

59.6b

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:

59.0ms	(+.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))))
15.0ms	(/.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)

series2.5s (8.7%)

Error

35.8b

Counts

4 → 71

Calls

4 calls:

667.0ms	(+.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))))
603.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
564.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
500.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

Compiler

Compiled 8794 to 4804 computations (45.4% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5046	5195

prune327.0ms (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

35.8b

Counts

216 → 7

Compiler

Compiled 11193 to 2106 computations (81.2% saved)

localize33.0ms (0.1%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 (.f64 d d) c0)
11.5b	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
11.9b	(.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))))
15.7b	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))

rewrite969.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

26.1b

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×	`associate-r/_binary64_1043` `-commutative_binary64_1032`
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:

35.0ms	(.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))))
21.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
19.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
9.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 15201 to 3559 computations (76.6% saved)

series1.9s (6.8%)

Error

27.3b

Counts

4 → 54

Calls

4 calls:

784.0ms	(/.f64 (.f64 (.f64 M M) (.f64 w (.f64 (.f64 D D) h))) (.f64 (*.f64 d d) c0))
653.0ms	(.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))))
314.0ms	(.f64 (.f64 M M) (.f64 w (.f64 (*.f64 D D) h)))
86.0ms	(.f64 (.f64 d d) c0)

Compiler

Compiled 3510 to 2965 computations (15.5% saved)

simplify190.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5118	12573

prune578.0ms (2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	364	5	369
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	366	10	376

Error

23.7b

Counts

376 → 10

Compiler

Compiled 11187 to 4288 computations (61.7% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

7.8b	(.f64 (.f64 D D) h)
12.0b	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.2b	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))

rewrite156.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

18.7b

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:

15.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
14.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
11.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2222 to 466 computations (79% saved)

series674.0ms (2.4%)

Error

23.7b

Counts

3 → 27

Calls

3 calls:

372.0ms	(/.f64 (.f64 (.f64 M M) (.f64 (.f64 D D) h)) (*.f64 d d))
210.0ms	(.f64 (.f64 M M) (.f64 (.f64 D D) h))
67.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1215 to 1139 computations (6.3% saved)

simplify91.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5061	1808

prune129.0ms (0.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	107	8	115
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	110	15	125

Error

19.7b

Counts

125 → 15

Compiler

Compiled 2324 to 818 computations (64.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

3.1b	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
7.0b	(/.f64 (.f64 (.f64 D D) h) d)
7.8b	(.f64 (.f64 D D) h)
10.4b	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))

rewrite208.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

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:

12.0ms	(/.f64 (.f64 (.f64 D D) h) d)
12.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
12.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
8.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 2759 to 658 computations (76.2% saved)

series944.0ms (3.3%)

Error

19.7b

Counts

4 → 39

Calls

4 calls:

379.0ms	(/.f64 (.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d)) d)
290.0ms	(.f64 (.f64 M M) (/.f64 (.f64 (.f64 D D) h) d))
155.0ms	(/.f64 (.f64 (.f64 D D) h) d)
72.0ms	(.f64 (.f64 D D) h)

Compiler

Compiled 1755 to 1621 computations (7.6% saved)

simplify107.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4966	2377
1	4966	2377

prune124.0ms (0.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	141	12	153
Fresh	5	9	14
Picked	1	0	1
Done	0	0	0
Total	147	21	168

Error

17.1b

Counts

168 → 21

Compiler

Compiled 2699 to 741 computations (72.5% saved)

regimes5.6s (20%)

Accuracy

Total 9.3b remaining (33.9%)

Threshold costs 0b (0%)

Compiler

Compiled 52362 to 38382 computations (26.7% saved)

bsearch316.0ms (1.1%)

Steps

Iters	Range		Point
9	7.623857359328402e+25	2.812108842566095e+32	1.3156926054711427e+29
8	-1.0389786772393533e+141	-1.5219777594855414e+137	-1.0200332322299009e+141

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	58
1	38	58

end0.0ms (0%)

sample10.1s (35.7%)

Algorithm

1×

intervals

Results

1.3s	2098×	body	4096	valid
1.1s	11890×	body	128	nan
898.0ms	1163×	body	8192	valid
644.0ms	1336×	body	2048	valid
392.0ms	3972×	body	128	invalid
249.0ms	634×	body	1024	valid
228.0ms	2351×	body	128	valid
76.0ms	271×	body	512	valid
38.0ms	72×	body	2048	invalid
27.0ms	147×	body	256	valid
19.0ms	54×	body	1024	invalid
13.0ms	46×	body	512	invalid
9.0ms	17×	body	4096	invalid
6.0ms	8×	body	8192	exit
3.0ms	16×	body	256	invalid

Compiler

Compiled 4414 to 3244 computations (26.5% saved)

Details

analyze2.4s (8.3%)

sample209.0ms (0.7%)

simplify158.0ms (0.6%)

prune6.0ms (0%)

localize19.0ms (0.1%)

rewrite396.0ms (1.4%)

series2.5s (8.7%)

simplify135.0ms (0.5%)

prune327.0ms (1.2%)

localize33.0ms (0.1%)

rewrite969.0ms (3.4%)

series1.9s (6.8%)

simplify190.0ms (0.7%)

prune578.0ms (2%)

localize12.0ms (0%)

rewrite156.0ms (0.6%)

series674.0ms (2.4%)

simplify91.0ms (0.3%)

prune129.0ms (0.5%)

localize11.0ms (0%)

rewrite208.0ms (0.7%)

series944.0ms (3.3%)

simplify107.0ms (0.4%)

prune124.0ms (0.4%)

regimes5.6s (20%)

bsearch316.0ms (1.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample10.1s (35.7%)

Profiling