Details

analyze687.0ms (28.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample27.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	80×	body	80	invalid

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	1063	9
1	1063	9

prune16.0ms (0.7%)

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: 0.0b

Counts

2 → 2

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
5.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series23.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
10.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify56.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5444	279

prune44.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize8.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 (-.f64 d2 d3) d4))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

11.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) d4))

series12.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 (-.f64 d2 d3) d4))

simplify46.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5310	212

prune34.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0.0b

Counts

30 → 3

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

rewrite25.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

series184.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
43.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
43.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
41.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

simplify63.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4919	794
1	4919	794

prune88.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

regimes254.0ms (10.5%)

Accuracy

Total 0.0b remaining (44.3%)

Threshold costs 0.0b (44.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	15
1	51	15

end0.0ms (0%)

sample728.0ms (30.2%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	80	valid
104.0ms	2400×	body	80	invalid

Details

analyze687.0ms (28.5%)

sample27.0ms (1.1%)

simplify70.0ms (2.9%)

prune16.0ms (0.7%)

localize10.0ms (0.4%)

rewrite13.0ms (0.5%)

series23.0ms (0.9%)

simplify56.0ms (2.3%)

prune44.0ms (1.8%)

localize8.0ms (0.3%)

rewrite11.0ms (0.5%)

series12.0ms (0.5%)

simplify46.0ms (1.9%)

prune34.0ms (1.4%)

localize13.0ms (0.5%)

rewrite25.0ms (1%)

series184.0ms (7.6%)

simplify63.0ms (2.6%)

prune88.0ms (3.7%)

regimes254.0ms (10.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample728.0ms (30.2%)

Profiling