Details

analyze256.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4872	32
1	4872	32
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	46.8%	3.2%	7
56.2%	37.5%	6.3%	8
62.4%	25.8%	11.8%	9
65.6%	20.3%	14.1%	10
68.7%	13.5%	17.9%	11
70.2%	10.5%	19.2%	12
71.8%	6.9%	21.3%	13
72.6%	5.4%	22%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify70.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

7.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
6.9b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite32.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
13×	`add-sqr-sqrt_binary64_21583`
12×	`flip3--_binary64_21565` `flip--_binary64_21536`
11×	`*-un-lft-identity_binary64_21561`
8×	`associate-/l/_binary64_21508` `frac-times_binary64_21571`
6×	`cancel-sign-sub-inv_binary64_21527` `add-cube-cbrt_binary64_21596` `associate-l_binary64_21502`
5×	`cbrt-unprod_binary64_21594` `associate-r_binary64_21501` `prod-exp_binary64_21610`
4×	`cbrt-undiv_binary64_21595` `distribute-lft-in_binary64_21510` `div-exp_binary64_21612` `distribute-rgt-in_binary64_21511` `associate-l/_binary64_21504` `associate-r/_binary64_21503` `pow1_binary64_21622`
3×	`difference-of-squares_binary64_21530`
2×	`sub-neg_binary64_21554` `add-log-exp_binary64_21600` `distribute-lft-out--_binary64_21513`
1×	`times-frac_binary64_21567` `associate-/l_binary64_21506` `frac-2neg_binary64_21572` `-commutative_binary64_21492` `div-inv_binary64_21558` `clear-num_binary64_21560` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `associate-/r*_binary64_21505`

Counts

2 → 68

Calls

2 calls:

14.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))
12.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

series40.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
11.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify72.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	1186
1	4943	1186

prune86.0ms (2.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	4	75

Error

0.0b

Counts

75 → 4

Compiler

Compiled 1335 to 976 computations (26.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.0b	(/.f64 (-.f64 1 x) y)
0.1b	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))

rewrite44.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64_21583`
78×	`*-un-lft-identity_binary64_21561`
70×	`times-frac_binary64_21567`
43×	`add-cube-cbrt_binary64_21596`
22×	`associate-l_binary64_21502`
21×	`difference-of-squares_binary64_21530`
19×	`associate-r_binary64_21501` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
14×	`distribute-lft-out--_binary64_21513`
11×	`associate-/l*_binary64_21506`
6×	`cbrt-undiv_binary64_21595` `div-exp_binary64_21612` `associate-/r*_binary64_21505`
5×	`pow1_binary64_21622`
4×	`cbrt-unprod_binary64_21594` `associate-/l/_binary64_21508` `prod-exp_binary64_21610` `div-inv_binary64_21558` `unswap-sqr_binary64_21529`
3×	`add-log-exp_binary64_21600`
2×	`flip3--_binary64_21565` `div-sub_binary64_21566` `frac-2neg_binary64_21572` `clear-num_binary64_21560` `flip--_binary64_21536`
1×	`associate-l/_binary64_21504` `frac-times_binary64_21571` `associate-r/_binary64_21503` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632`

Counts

3 → 145

Calls

3 calls:

20.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

series77.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
25.0ms	(/.f64 (-.f64 1 x) y)
22.0ms	(/.f64 (-.f64 3 x) 3)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4960	2486
1	4960	2486

prune167.0ms (5.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	3	154
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Error

Counts

158 → 6

Compiler

Compiled 2816 to 2057 computations (27% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 3 x) 3)
0.1b	(.f64 (.f64 (-.f64 1 x) (/.f64 1 y)) (/.f64 (-.f64 3 x) 3))
0.1b	(*.f64 (-.f64 1 x) (/.f64 1 y))

rewrite49.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_21583`
49×	`add-exp-log_binary64_21599`
48×	`*-un-lft-identity_binary64_21561`
41×	`times-frac_binary64_21567`
32×	`associate-r_binary64_21501`
31×	`add-cbrt-cube_binary64_21597`
30×	`add-cube-cbrt_binary64_21596`
22×	`prod-exp_binary64_21610`
12×	`cbrt-unprod_binary64_21594` `div-exp_binary64_21612` `associate-*l/_binary64_21504` `frac-times_binary64_21571`
10×	`pow1_binary64_21622`
9×	`difference-of-squares_binary64_21530`
8×	`distribute-lft-out--_binary64_21513`
7×	`cbrt-undiv_binary64_21595` `flip3--_binary64_21565` `associate-l_binary64_21502` `flip--_binary64_21536`
5×	`associate-/l*_binary64_21506`
4×	`associate-*r/_binary64_21503` `pow-prod-down_binary64_21632`
3×	`un-div-inv_binary64_21559` `1-exp_binary64_21605` `add-log-exp_binary64_21600` `div-inv_binary64_21558` `unswap-sqr_binary64_21529` `associate-/r*_binary64_21505` `rec-exp_binary64_21611`
2×	`associate-/l/_binary64_21508` `*-commutative_binary64_21492`
1×	`div-sub_binary64_21566` `frac-2neg_binary64_21572` `clear-num_binary64_21560`

Counts

3 → 140

Calls

3 calls:

17.0ms	(.f64 (.f64 (-.f64 1 x) (/.f64 1 y)) (/.f64 (-.f64 3 x) 3))
11.0ms	(*.f64 (-.f64 1 x) (/.f64 1 y))
6.0ms	(/.f64 (-.f64 3 x) 3)

series68.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

28.0ms	(.f64 (.f64 (-.f64 1 x) (/.f64 1 y)) (/.f64 (-.f64 3 x) 3))
20.0ms	(/.f64 (-.f64 3 x) 3)
19.0ms	(*.f64 (-.f64 1 x) (/.f64 1 y))

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5057	2171

prune146.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	149	6	155

Error

Counts

155 → 6

Compiler

Compiled 2635 to 2009 computations (23.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 x) y)
0.3b	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
0.3b	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))

rewrite43.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_21583`
52×	`*-un-lft-identity_binary64_21561`
40×	`times-frac_binary64_21567`
29×	`add-cube-cbrt_binary64_21596`
22×	`associate-l_binary64_21502`
19×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
15×	`difference-of-squares_binary64_21530`
8×	`distribute-lft-out--_binary64_21513`
7×	`associate-/l/_binary64_21508` `associate-/l*_binary64_21506`
6×	`cbrt-undiv_binary64_21595` `div-exp_binary64_21612` `cancel-sign-sub-inv_binary64_21527` `associate-/r*_binary64_21505`
5×	`flip3--_binary64_21565` `associate-r_binary64_21501` `pow1_binary64_21622` `flip--_binary64_21536`
4×	`cbrt-unprod_binary64_21594` `distribute-lft-in_binary64_21510` `distribute-rgt-in_binary64_21511` `frac-times_binary64_21571` `associate-*r/_binary64_21503` `prod-exp_binary64_21610`
3×	`add-log-exp_binary64_21600` `div-inv_binary64_21558`
2×	`associate-*l/_binary64_21504` `frac-2neg_binary64_21572` `sub-neg_binary64_21554` `clear-num_binary64_21560` `unswap-sqr_binary64_21529`
1×	`div-sub_binary64_21566` `*-commutative_binary64_21492` `pow-prod-down_binary64_21632`

Counts

3 → 125

Calls

3 calls:

14.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
13.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
6.0ms	(/.f64 (-.f64 1 x) y)

series80.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x))
28.0ms	(/.f64 (*.f64 (/.f64 (-.f64 1 x) y) (-.f64 3 x)) 3)
19.0ms	(/.f64 (-.f64 1 x) y)

simplify50.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5236	2124

prune119.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	135	5	140

Error

Counts

140 → 5

Compiler

Compiled 2318 to 1619 computations (30.2% saved)

regimes319.0ms (10.9%)

Accuracy

Total 0.1b remaining (99.9%)

Threshold costs 0.1b (99.9%)

Compiler

Compiled 3307 to 2818 computations (14.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample1.0s (34.9%)

Algorithm

1×

intervals

Results

248.0ms	8000×	body	128	valid
10.0ms	324×	body	128	invalid

Compiler

Compiled 639 to 544 computations (14.9% saved)

Details

analyze256.0ms (8.7%)

sample14.0ms (0.5%)

simplify70.0ms (2.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite32.0ms (1.1%)

series40.0ms (1.4%)

simplify72.0ms (2.5%)

prune86.0ms (2.9%)

localize7.0ms (0.2%)

rewrite44.0ms (1.5%)

series77.0ms (2.6%)

simplify75.0ms (2.6%)

prune167.0ms (5.7%)

localize8.0ms (0.3%)

rewrite49.0ms (1.7%)

series68.0ms (2.3%)

simplify69.0ms (2.4%)

prune146.0ms (5%)

localize8.0ms (0.3%)

rewrite43.0ms (1.5%)

series80.0ms (2.7%)

simplify50.0ms (1.7%)

prune119.0ms (4.1%)

regimes319.0ms (10.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (34.9%)

Profiling