Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample13.0ms (1.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

valid

simplify35.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	739	11
1	739	11

prune5.0ms (0.4%)

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

Merged error: 0.1b

Counts

2 → 1

localize12.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3.0) x) (*.f64 x 4.0))
0.1b	(.f64 3.0 (+.f64 (-.f64 (.f64 (.f64 x 3.0) x) (.f64 x 4.0)) 1.0))
0.2b	(.f64 (.f64 x 3.0) x)

rewrite24.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`associate-r/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 52

Calls

3 calls:

11.0ms	(.f64 3.0 (+.f64 (-.f64 (.f64 (.f64 x 3.0) x) (.f64 x 4.0)) 1.0))
6.0ms	(.f64 (.f64 x 3.0) x)
5.0ms	(-.f64 (.f64 (.f64 x 3.0) x) (*.f64 x 4.0))

series19.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (.f64 (.f64 x 3.0) x) (*.f64 x 4.0))
5.0ms	(.f64 (.f64 x 3.0) x)
5.0ms	(.f64 3.0 (+.f64 (-.f64 (.f64 (.f64 x 3.0) x) (.f64 x 4.0)) 1.0))

simplify34.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5342	593

prune95.0ms (7.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Merged error: 0b

Counts

62 → 6

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(.f64 x (-.f64 (.f64 x 9.0) 12.0))

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 (*.f64 x 9.0) 12.0))

series8.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 (*.f64 x 9.0) 12.0))

simplify49.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5282	218

prune40.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0b

Counts

31 → 6

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x 3.0) 4.0)
0.1b	(.f64 x (-.f64 (.f64 x 3.0) 4.0))
0.1b	(.f64 3.0 (.f64 x (-.f64 (*.f64 x 3.0) 4.0)))

rewrite25.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`sub-neg_binary64`
6×	`-un-lft-identity_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64` `associate-l_binary64`
5×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`*-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 57

Calls

3 calls:

12.0ms	(.f64 3.0 (.f64 x (-.f64 (*.f64 x 3.0) 4.0)))
7.0ms	(.f64 x (-.f64 (.f64 x 3.0) 4.0))
4.0ms	(-.f64 (*.f64 x 3.0) 4.0)

series24.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(.f64 3.0 (.f64 x (-.f64 (*.f64 x 3.0) 4.0)))
8.0ms	(.f64 x (-.f64 (.f64 x 3.0) 4.0))
5.0ms	(-.f64 (*.f64 x 3.0) 4.0)

simplify54.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5075	590

prune89.0ms (7.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 0b

Counts

72 → 6

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x 3.0) 4.0)
0.1b	(.f64 (.f64 3.0 x) (-.f64 (*.f64 x 3.0) 4.0))

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

9.0ms	(.f64 (.f64 3.0 x) (-.f64 (*.f64 x 3.0) 4.0))
4.0ms	(-.f64 (*.f64 x 3.0) 4.0)

series15.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 (.f64 3.0 x) (-.f64 (*.f64 x 3.0) 4.0))
5.0ms	(-.f64 (*.f64 x 3.0) 4.0)

simplify49.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4917	357
1	4917	357

prune46.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0b

Counts

45 → 6

regimes35.0ms (2.8%)

Accuracy

Total 0.1b remaining (82.6%)

Threshold costs 0.1b (82.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample534.0ms (42.6%)

Algorithm

1×

intervals

Results

443.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms (0.3%)

sample13.0ms (1.1%)

simplify35.0ms (2.8%)

prune5.0ms (0.4%)

localize12.0ms (0.9%)

rewrite24.0ms (1.9%)

series19.0ms (1.5%)

simplify34.0ms (2.7%)

prune95.0ms (7.6%)

localize6.0ms (0.4%)

rewrite7.0ms (0.6%)

series8.0ms (0.7%)

simplify49.0ms (3.9%)

prune40.0ms (3.2%)

localize8.0ms (0.6%)

rewrite25.0ms (2%)

series24.0ms (1.9%)

simplify54.0ms (4.3%)

prune89.0ms (7.1%)

localize7.0ms (0.6%)

rewrite14.0ms (1.1%)

series15.0ms (1.2%)

simplify49.0ms (3.9%)

prune46.0ms (3.7%)

regimes35.0ms (2.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample534.0ms (42.6%)

Profiling