Details

analyze289.0ms (18.4%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

sample18.0ms (1.1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	76	7
1	76	7

prune6.0ms (0.4%)

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

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`distribute-lft-out_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 (+.f64 x y) (+.f64 z 1.0))

series10.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (+.f64 z 1.0))

simplify59.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5035	368

prune45.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-*l/_binary64`
6×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `frac-add_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64`
2×	`distribute-lft-out_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

8.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) 1.0))
6.0ms	(*.f64 (+.f64 x y) z)

series21.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 (+.f64 x y) z) (.f64 (+.f64 x y) 1.0))
8.0ms	(*.f64 (+.f64 x y) z)

simplify56.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4928	461
1	4928	461

prune48.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite25.0ms (1.6%)

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 y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series164.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
38.0ms	(cbrt.f64 (+.f64 x y))
37.0ms	(cbrt.f64 (+.f64 x y))
36.0ms	(cbrt.f64 (+.f64 x y))

simplify41.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5175	995

prune112.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes249.0ms (15.8%)

Accuracy

Total 0.0b remaining (62.6%)

Threshold costs 0.0b (62.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample377.0ms (24%)

Algorithm

1×

intervals

Results

187.0ms	7998×	body	80	valid
16.0ms	617×	body	80	invalid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

Details

analyze289.0ms (18.4%)

sample18.0ms (1.1%)

simplify6.0ms (0.4%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

rewrite10.0ms (0.6%)

series10.0ms (0.6%)

simplify59.0ms (3.7%)

prune45.0ms (2.8%)

localize7.0ms (0.4%)

rewrite16.0ms (1%)

series21.0ms (1.4%)

simplify56.0ms (3.6%)

prune48.0ms (3%)

localize9.0ms (0.6%)

rewrite25.0ms (1.6%)

series164.0ms (10.4%)

simplify41.0ms (2.6%)

prune112.0ms (7.1%)

regimes249.0ms (15.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample377.0ms (24%)

Profiling