Details

analyze751.0ms (21.1%)

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

sample48.0ms (1.3%)

Algorithm

1×

intervals

Results

9.0ms	181×	body	80	valid
8.0ms	26×	body	640	valid
7.0ms	25×	body	1280	valid
5.0ms	28×	body	1280	nan
4.0ms	26×	body	640	nan
2.0ms	16×	body	320	valid
1.0ms	13×	body	320	nan
1.0ms	8×	body	160	valid
0.0ms	4×	body	160	nan
0.0ms	5×	body	80	nan

simplify156.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	5039	12

prune6.0ms (0.2%)

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: 18.6b

Counts

2 → 1

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1.0 (log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1.0 y))
1.8b	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))
4.9b	(log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))

rewrite66.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
18×	`add-cube-cbrt_binary64`
17×	`distribute-lft-out--_binary64`
12×	`log-prod_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64`
6×	`pow1_binary64` `associate--r+_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`log-div_binary64`
3×	`associate--r-_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `log-pow_binary64` `associate-/r/_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `rem-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 106

Calls

4 calls:

23.0ms	(-.f64 1.0 (log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
15.0ms	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))
15.0ms	(log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1.0 y))

series54.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 1.0 (log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
16.0ms	(log.f64 (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))
12.0ms	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))
7.0ms	(/.f64 (-.f64 x y) (-.f64 1.0 y))

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5161	1660

prune200.0ms (5.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Merged error: 0.1b

Counts

119 → 5

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
0.0b	(/.f64 (-.f64 x y) (-.f64 1.0 y))
0.2b	(/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))
1.8b	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))

rewrite66.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`add-sqr-sqrt_binary64`
77×	`*-un-lft-identity_binary64`
69×	`times-frac_binary64`
37×	`add-cube-cbrt_binary64`
28×	`difference-of-squares_binary64`
24×	`log-prod_binary64`
20×	`distribute-lft-out--_binary64`
11×	`associate-/r*_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
5×	`pow1_binary64` `flip3--_binary64` `flip--_binary64`
3×	`div-inv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate--r-_binary64` `log-pow_binary64` `log-div_binary64`

Counts

4 → 143

Calls

4 calls:

18.0ms	(/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))
18.0ms	(log.f64 (/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
15.0ms	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1.0 y))

series69.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(log.f64 (/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))))
24.0ms	(/.f64 (exp.f64 1.0) (-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y))))
12.0ms	(-.f64 1.0 (/.f64 (-.f64 x y) (-.f64 1.0 y)))
8.0ms	(/.f64 (-.f64 x y) (-.f64 1.0 y))

simplify57.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5513	2584

prune224.0ms (6.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	156	4	160

Merged error: 0.0b

Counts

160 → 4

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (.f64 1.0 (.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))))
0.2b	(*.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64`
9×	`*-un-lft-identity_binary64`
8×	`add-exp-log_binary64` `add-sqr-sqrt_binary64`
6×	`associate-r_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
3×	`rem-log-exp_binary64` `log-pow_binary64` `associate-l_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `log-div_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-prod_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

14.0ms	(log.f64 (.f64 1.0 (.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))))
11.0ms	(*.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))

series22.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(log.f64 (.f64 1.0 (.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))))
6.0ms	(*.f64 (exp.f64 1.0) (-.f64 (+.f64 x 1) y))

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	503
1	4967	503

prune71.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.0b	(log.f64 (-.f64 (+.f64 x 1) y))

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`log-prod_binary64`
4×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `distribute-lft-out--_binary64` `log-div_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 17

Calls

1 calls:

7.0ms

(log.f64 (-.f64 (+.f64 x 1) y))

series8.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(log.f64 (-.f64 (+.f64 x 1) y))

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4999	207
1	4999	207

prune27.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0b

Counts

24 → 4

regimes256.0ms (7.2%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	341	41
1	341	41

end0.0ms (0%)

sample1.3s (35.2%)

Algorithm

1×

intervals

Results

279.0ms	5662×	body	80	valid
197.0ms	771×	body	1280	valid
157.0ms	836×	body	640	valid
137.0ms	743×	body	1280	nan
112.0ms	762×	body	640	nan
63.0ms	485×	body	320	valid
48.0ms	448×	body	320	nan
21.0ms	246×	body	160	valid
16.0ms	223×	body	160	nan
14.0ms	334×	body	80	nan

Details

analyze751.0ms (21.1%)

sample48.0ms (1.3%)

simplify156.0ms (4.4%)

prune6.0ms (0.2%)

localize9.0ms (0.2%)

rewrite66.0ms (1.9%)

series54.0ms (1.5%)

simplify50.0ms (1.4%)

prune200.0ms (5.6%)

localize13.0ms (0.4%)

rewrite66.0ms (1.9%)

series69.0ms (1.9%)

simplify57.0ms (1.6%)

prune224.0ms (6.3%)

localize9.0ms (0.2%)

rewrite26.0ms (0.7%)

series22.0ms (0.6%)

simplify49.0ms (1.4%)

prune71.0ms (2%)

localize8.0ms (0.2%)

rewrite7.0ms (0.2%)

series8.0ms (0.2%)

simplify50.0ms (1.4%)

prune27.0ms (0.8%)

regimes256.0ms (7.2%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.3s (35.2%)

Profiling