Details

analyze535.0ms (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	190×	body	128	valid
6.0ms	30×	body	1024	valid
5.0ms	37×	body	1024	nan
3.0ms	22×	body	512	valid
1.0ms	14×	body	512	nan
1.0ms	14×	body	256	valid
1.0ms	16×	body	128	nan
0.0ms	6×	body	256	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify470.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (302.0ms)

Iter	Nodes	Cost
0	5118	18

prune2.0ms (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

Merged error: 16.6b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
1.8b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.8b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite85.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-sqr-sqrt_binary64_10882`
67×	`*-un-lft-identity_binary64_10861`
36×	`times-frac_binary64_10867`
33×	`difference-of-squares_binary64_10830`
19×	`add-cube-cbrt_binary64_10893`
18×	`distribute-lft-out--_binary64_10815`
16×	`log-prod_binary64_10944`
8×	`associate--r+_binary64_10799`
7×	`add-log-exp_binary64_10897` `add-exp-log_binary64_10896`
6×	`pow1_binary64_10919` `flip--_binary64_10836` `associate-/r*_binary64_10807` `flip3--_binary64_10865` `add-cbrt-cube_binary64_10894`
5×	`associate-/l*_binary64_10808`
4×	`log-div_binary64_10945`
3×	`associate--r-_binary64_10802`
2×	`associate-/r/_binary64_10809` `sub-neg_binary64_10854` `diff-log_binary64_10950` `log-pow_binary64_10947` `div-sub_binary64_10866` `associate-/l/_binary64_10810`
1×	`cbrt-undiv_binary64_10892` `div-inv_binary64_10858` `frac-2neg_binary64_10872` `clear-num_binary64_10860` `div-exp_binary64_10909` `rem-log-exp_binary64_10899`

Counts

4 → 119

Calls

4 calls:

23.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
19.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
18.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series385.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
126.0ms	(-.f64 1 (log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
78.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
55.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5518	2791

prune180.0ms (3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

Compiler

Compiled 2759 to 1792 computations (35% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.0b	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
0.1b	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
1.8b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite92.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`add-sqr-sqrt_binary64_10882`
106×	`*-un-lft-identity_binary64_10861`
94×	`times-frac_binary64_10867`
51×	`difference-of-squares_binary64_10830`
42×	`add-cube-cbrt_binary64_10893`
30×	`log-prod_binary64_10944`
21×	`distribute-lft-out--_binary64_10815`
14×	`associate-/r*_binary64_10807`
13×	`add-exp-log_binary64_10896`
8×	`associate-/l*_binary64_10808` `add-cbrt-cube_binary64_10894`
6×	`associate-/r/_binary64_10809` `add-log-exp_binary64_10897`
5×	`pow1_binary64_10919` `flip--_binary64_10836` `div-exp_binary64_10909` `flip3--_binary64_10865`
3×	`div-inv_binary64_10858` `rem-log-exp_binary64_10899`
2×	`cbrt-undiv_binary64_10892` `e-exp-1_binary64_10903` `frac-2neg_binary64_10872` `clear-num_binary64_10860` `div-sub_binary64_10866` `associate-/l/_binary64_10810`
1×	`log-div_binary64_10945` `sub-neg_binary64_10854` `diff-log_binary64_10950` `log-pow_binary64_10947` `associate--r-_binary64_10802`

Counts

4 → 167

Calls

4 calls:

24.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
21.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series418.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

154.0ms	(log.f64 (/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))
117.0ms	(/.f64 E.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
91.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
55.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify96.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5001	4580

prune189.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	179	4	183

Merged error: 0.0b

Counts

183 → 4

Compiler

Compiled 3900 to 2308 computations (40.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
0.2b	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_10861` `add-exp-log_binary64_10896`
7×	`pow1_binary64_10919`
6×	`add-sqr-sqrt_binary64_10882`
5×	`associate-r_binary64_10803`
4×	`prod-exp_binary64_10907` `associate-*r/_binary64_10805` `add-cube-cbrt_binary64_10893` `add-cbrt-cube_binary64_10894`
3×	`rem-log-exp_binary64_10899` `associate-l_binary64_10804`
2×	`log-div_binary64_10945` `pow-prod-down_binary64_10929` `e-exp-1_binary64_10903` `flip3-+_binary64_10864` `add-log-exp_binary64_10897` `log-pow_binary64_10947` `flip-+_binary64_10835` `distribute-lft-out_binary64_10814`
1×	`distribute-lft-out--_binary64_10815` `cbrt-unprod_binary64_10891` `*-commutative_binary64_10794` `unswap-sqr_binary64_10829` `log-prod_binary64_10944` `distribute-rgt-in_binary64_10813` `distribute-lft-in_binary64_10812`

Counts

2 → 40

Calls

2 calls:

9.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))
7.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))

series91.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(log.f64 (*.f64 E.f64 (+.f64 1 (-.f64 x y))))
31.0ms	(*.f64 E.f64 (+.f64 1 (-.f64 x y)))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	612
1	4943	612

prune36.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

Compiler

Compiled 627 to 370 computations (41% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))
1.7b	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
2.5b	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
4.8b	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite106.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

284×	`*-un-lft-identity_binary64_10861`
204×	`add-sqr-sqrt_binary64_10882`
176×	`times-frac_binary64_10867`
82×	`distribute-lft-out--_binary64_10815`
80×	`difference-of-squares_binary64_10830`
62×	`swap-sqr_binary64_10828` `add-cube-cbrt_binary64_10893`
36×	`associate-r_binary64_10803` `associate-l_binary64_10804`
18×	`add-exp-log_binary64_10896`
16×	`add-cbrt-cube_binary64_10894`
13×	`pow1_binary64_10919`
9×	`log-prod_binary64_10944`
8×	`associate-/r/_binary64_10809`
6×	`flip--_binary64_10836` `add-log-exp_binary64_10897` `flip3--_binary64_10865`
4×	`prod-exp_binary64_10907` `log-div_binary64_10945` `cbrt-undiv_binary64_10892` `cbrt-unprod_binary64_10891` `div-inv_binary64_10858` `unswap-sqr_binary64_10829` `div-exp_binary64_10909`
2×	`log-pow_binary64_10947` `rem-log-exp_binary64_10899`
1×	`associate-r/_binary64_10805` `sub-neg_binary64_10854` `pow-prod-down_binary64_10929` `pow-plus_binary64_10921` `frac-times_binary64_10871` `pow-sqr_binary64_10834` `diff-log_binary64_10950` `pow2_binary64_10939` `-commutative_binary64_10794` `flip3-+_binary64_10864` `associate-*l/_binary64_10806` `pow-prod-up_binary64_10928` `flip-+_binary64_10835` `distribute-lft-out_binary64_10814`

Counts

4 → 206

Calls

4 calls:

44.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))
16.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))

series899.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

450.0ms	(log.f64 (-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))))
249.0ms	(-.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y))))
108.0ms	(log.f64 (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
92.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5738	5824

prune472.0ms (8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	218	4	222

Merged error: 0.0b

Counts

222 → 4

Compiler

Compiled 8342 to 5194 computations (37.7% saved)

regimes102.0ms (1.7%)

Compiler: Compiled 361 to 293 computations (18.8% saved)

bsearch81.0ms (1.4%)

Steps

Iters	Range		Point
6	3003821.5334400334	15122767.406312425	14967418.208870608
9	-205499890146.077	-5294.120622247828	-152142793.2786643

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	57
1	104	57

end0.0ms (0%)

sample1.3s (22.4%)

Algorithm

1×

intervals

Results

313.0ms	5829×	body	128	valid
205.0ms	1036×	body	1024	valid
147.0ms	1009×	body	1024	nan
101.0ms	711×	body	512	valid
74.0ms	667×	body	512	nan
34.0ms	372×	body	256	valid
28.0ms	379×	body	256	nan
18.0ms	503×	body	128	nan
16.0ms	52×	body	2048	valid
1.0ms	4×	body	2048	nan

Compiler

Compiled 170 to 130 computations (23.5% saved)

Details

analyze535.0ms (9.1%)

sample37.0ms (0.6%)

simplify470.0ms (8%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite85.0ms (1.4%)

series385.0ms (6.5%)

simplify83.0ms (1.4%)

prune180.0ms (3%)

localize9.0ms (0.2%)

rewrite92.0ms (1.6%)

series418.0ms (7.1%)

simplify96.0ms (1.6%)

prune189.0ms (3.2%)

localize7.0ms (0.1%)

rewrite19.0ms (0.3%)

series91.0ms (1.5%)

simplify59.0ms (1%)

prune36.0ms (0.6%)

localize13.0ms (0.2%)

rewrite106.0ms (1.8%)

series899.0ms (15.3%)

simplify94.0ms (1.6%)

prune472.0ms (8%)

regimes102.0ms (1.7%)

bsearch81.0ms (1.4%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (22.4%)

Profiling