Details

analyze180.0ms (2.8%)

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
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)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
6.0ms	10×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify214.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4957	16
1	4957	16

prune4.0ms (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

6.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 1 x) (-.f64 3 x))
6.1b	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))

rewrite58.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`add-sqr-sqrt_binary64_11012`
12×	`flip3--_binary64_10994` `flip--_binary64_10965`
11×	`*-un-lft-identity_binary64_10990`
8×	`associate-/l/_binary64_10937` `frac-times_binary64_11000`
6×	`add-cube-cbrt_binary64_11025` `associate-l_binary64_10931` `cancel-sign-sub-inv_binary64_10956`
5×	`prod-exp_binary64_11039` `associate-r_binary64_10930` `cbrt-unprod_binary64_11023`
4×	`pow1_binary64_11051` `associate-r/_binary64_10932` `div-exp_binary64_11041` `distribute-rgt-in_binary64_10940` `cbrt-undiv_binary64_11024` `associate-l/_binary64_10933` `distribute-lft-in_binary64_10939`
3×	`difference-of-squares_binary64_10959`
2×	`distribute-lft-out--_binary64_10942` `add-log-exp_binary64_11029` `sub-neg_binary64_10983`
1×	`times-frac_binary64_10996` `clear-num_binary64_10989` `unswap-sqr_binary64_10958` `associate-/l_binary64_10935` `associate-/r_binary64_10934` `frac-2neg_binary64_11001` `div-inv_binary64_10987` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

2 → 68

Calls

2 calls:

26.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
22.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

series78.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(/.f64 (.f64 (-.f64 1 x) (-.f64 3 x)) (.f64 y 3))
20.0ms	(*.f64 (-.f64 1 x) (-.f64 3 x))

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4943	1186
1	4943	1186

prune153.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Error

0.0b

Counts

75 → 6

Compiler

Compiled 1357 to 995 computations (26.7% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite168.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

1218×	`times-frac_binary64_10996`
808×	`*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
461×	`add-cube-cbrt_binary64_11025`
205×	`difference-of-squares_binary64_10959`
142×	`distribute-lft-out--_binary64_10942`
84×	`associate-/r*_binary64_10934`
35×	`div-inv_binary64_10987`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
14×	`associate-/l*_binary64_10935`
10×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
9×	`associate-/r/_binary64_10936`
4×	`associate-/l/_binary64_10937`
3×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `clear-num_binary64_10989` `frac-2neg_binary64_11001`
2×	`flip3--_binary64_10994` `div-sub_binary64_10995` `flip--_binary64_10965`

Counts

3 → 592

Calls

3 calls:

33.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
9.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
6.0ms	(/.f64 (-.f64 3 x) 3)

series103.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

52.0ms	(/.f64 y (/.f64 (-.f64 3 x) 3))
30.0ms	(/.f64 (-.f64 1 x) (/.f64 y (/.f64 (-.f64 3 x) 3)))
21.0ms	(/.f64 (-.f64 3 x) 3)

simplify355.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

601 → 601

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4964	20019
1	4964	20019

prune1.8s (27.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	598	3	601
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	601	6	607

Error

Counts

607 → 6

Compiler

Compiled 14911 to 10500 computations (29.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64_11012`
78×	`*-un-lft-identity_binary64_10990`
70×	`times-frac_binary64_10996`
43×	`add-cube-cbrt_binary64_11025`
22×	`associate-l_binary64_10931`
21×	`difference-of-squares_binary64_10959`
19×	`associate-r_binary64_10930` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
14×	`distribute-lft-out--_binary64_10942`
11×	`associate-/l*_binary64_10935`
6×	`div-exp_binary64_11041` `associate-/r*_binary64_10934` `cbrt-undiv_binary64_11024`
5×	`pow1_binary64_11051`
4×	`prod-exp_binary64_11039` `associate-/l/_binary64_10937` `unswap-sqr_binary64_10958` `cbrt-unprod_binary64_11023` `div-inv_binary64_10987`
3×	`add-log-exp_binary64_11029`
2×	`flip3--_binary64_10994` `div-sub_binary64_10995` `flip--_binary64_10965` `clear-num_binary64_10989` `frac-2neg_binary64_11001`
1×	`frac-times_binary64_11000` `associate-r/_binary64_10932` `-commutative_binary64_10921` `associate-*l/_binary64_10933` `pow-prod-down_binary64_11061`

Counts

3 → 145

Calls

3 calls:

25.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
7.0ms	(/.f64 (-.f64 1 x) y)
6.0ms	(/.f64 (-.f64 3 x) 3)

series70.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 (/.f64 (-.f64 1 x) y) (/.f64 (-.f64 3 x) 3))
21.0ms	(/.f64 (-.f64 3 x) 3)
20.0ms	(/.f64 (-.f64 1 x) y)

simplify102.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4960	2486
1	4960	2486

prune201.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	154	6	160

Error

Counts

160 → 6

Compiler

Compiled 2814 to 2052 computations (27.1% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite79.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_10996`
65×	`add-sqr-sqrt_binary64_11012`
63×	`*-un-lft-identity_binary64_10990`
31×	`add-cube-cbrt_binary64_11025`
21×	`difference-of-squares_binary64_10959`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
18×	`associate-*l/_binary64_10933`
17×	`associate-/r/_binary64_10936`
11×	`distribute-lft-out--_binary64_10942`
10×	`flip3--_binary64_10994` `flip--_binary64_10965` `associate-/r*_binary64_10934`
9×	`associate-/l*_binary64_10935` `div-inv_binary64_10987`
7×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
5×	`pow1_binary64_11051` `associate-l_binary64_10931`
3×	`prod-exp_binary64_11039` `add-log-exp_binary64_11029` `associate-r_binary64_10930` `cbrt-unprod_binary64_11023`
2×	`associate-/l/_binary64_10937` `clear-num_binary64_10989` `frac-2neg_binary64_11001`
1×	`div-sub_binary64_10995` `unswap-sqr_binary64_10958` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 134

Calls

3 calls:

26.0ms	(/.f64 (-.f64 1 x) (/.f64 y (*.f64 (-.f64 3 x) 1/3)))
16.0ms	(*.f64 (-.f64 3 x) 1/3)
14.0ms	(/.f64 y (*.f64 (-.f64 3 x) 1/3))

series128.0ms (2%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(/.f64 y (*.f64 (-.f64 3 x) 1/3))
44.0ms	(/.f64 (-.f64 1 x) (/.f64 y (*.f64 (-.f64 3 x) 1/3)))
37.0ms	(*.f64 (-.f64 3 x) 1/3)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5097	3022

prune234.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	143	6	149

Error

Counts

149 → 6

Compiler

Compiled 2627 to 1877 computations (28.5% saved)

regimes446.0ms (7%)

Accuracy

Total 0.1b remaining (99.2%)

Threshold costs 0.1b (99.2%)

Compiler

Compiled 3639 to 3079 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms (0%)

sample1.7s (26.2%)

Algorithm

1×

intervals

Results

396.0ms	8000×	body	128	valid
16.0ms	325×	body	128	invalid

Compiler

Compiled 711 to 602 computations (15.3% saved)

Details

analyze180.0ms (2.8%)

sample29.0ms (0.5%)

simplify214.0ms (3.4%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite58.0ms (0.9%)

series78.0ms (1.2%)

simplify89.0ms (1.4%)

prune153.0ms (2.4%)

localize15.0ms (0.2%)

rewrite168.0ms (2.7%)

series103.0ms (1.6%)

simplify355.0ms (5.6%)

prune1.8s (27.9%)

localize8.0ms (0.1%)

rewrite49.0ms (0.8%)

series70.0ms (1.1%)

simplify102.0ms (1.6%)

prune201.0ms (3.2%)

localize14.0ms (0.2%)

rewrite79.0ms (1.2%)

series128.0ms (2%)

simplify111.0ms (1.8%)

prune234.0ms (3.7%)

regimes446.0ms (7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (26.2%)

Profiling