Details

analyze65.0ms (7%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

sample13.0ms (1.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify15.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune5.0ms (0.6%)

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 → 1

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1.0) y) x)
0.0b	(*.f64 (+.f64 x 1.0) y)

rewrite14.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(-.f64 (*.f64 (+.f64 x 1.0) y) x)
6.0ms	(*.f64 (+.f64 x 1.0) y)

series12.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 (+.f64 x 1.0) y)
6.0ms	(-.f64 (*.f64 (+.f64 x 1.0) y) x)

simplify55.0ms (6%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5065	302

prune44.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	2	39

Merged error: 0.0b

Counts

39 → 2

localize8.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 x 1.0))
0.2b	(cbrt.f64 (+.f64 x 1.0))
0.2b	(cbrt.f64 (+.f64 x 1.0))
0.2b	(*.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))

rewrite26.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
3.0ms	(cbrt.f64 (+.f64 x 1.0))
3.0ms	(cbrt.f64 (+.f64 x 1.0))

series32.0ms (3.4%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (cbrt.f64 (+.f64 x 1.0)) (cbrt.f64 (+.f64 x 1.0)))
8.0ms	(cbrt.f64 (+.f64 x 1.0))
8.0ms	(cbrt.f64 (+.f64 x 1.0))
7.0ms	(cbrt.f64 (+.f64 x 1.0))

simplify64.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4898	1103
1	4898	1103

prune158.0ms (17%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0.0b

Counts

109 → 2

regimes106.0ms (11.5%)

Accuracy

Total 0.0b remaining (20.9%)

Threshold costs 0.0b (20.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample305.0ms (32.8%)

Algorithm

1×

intervals

Results

177.0ms	8000×	body	80	valid
1.0ms	70×	body	80	invalid

Details

analyze65.0ms (7%)

sample13.0ms (1.4%)

simplify15.0ms (1.6%)

prune5.0ms (0.6%)

localize4.0ms (0.5%)

rewrite14.0ms (1.5%)

series12.0ms (1.3%)

simplify55.0ms (6%)

prune44.0ms (4.7%)

localize8.0ms (0.9%)

rewrite26.0ms (2.8%)

series32.0ms (3.4%)

simplify64.0ms (6.9%)

prune158.0ms (17%)

regimes106.0ms (11.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample305.0ms (32.8%)

Profiling