Details

analyze68.0ms (5.9%)

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample14.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify5.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune10.0ms (0.9%)

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

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2.0))

rewrite14.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 x 2.0))

series14.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 x 2.0))

simplify44.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4972	350
1	4972	350

prune47.0ms (4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))
0.0b	(+.f64 (.f64 x 2.0) (.f64 x x))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2.0) (.f64 x x))

series15.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x 2.0) (.f64 x x))
7.0ms	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))

simplify47.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5263	302

prune34.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

34 → 3

localize14.0ms (1.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2.0))
0.1b	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)
39.6b	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2.0)) 3))

rewrite26.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
4×	`flip3-+_binary64` `associate-r_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

7.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3)) (.f64 y y))
7.0ms	(*.f64 x (+.f64 x 2.0))
6.0ms	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2.0)) 3))

series32.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3)) (.f64 y y))
9.0ms	(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2.0)) 3))
6.0ms	(*.f64 x (+.f64 x 2.0))
4.0ms	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)

simplify66.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5013	769

prune127.0ms (10.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes200.0ms (17.2%)

Accuracy

Total 0.0b remaining (63.2%)

Threshold costs 0.0b (63.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms (0%)

sample356.0ms (30.8%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze68.0ms (5.9%)

sample14.0ms (1.2%)

simplify5.0ms (0.4%)

prune10.0ms (0.9%)

localize5.0ms (0.5%)

rewrite14.0ms (1.2%)

series14.0ms (1.2%)

simplify44.0ms (3.8%)

prune47.0ms (4%)

localize6.0ms (0.6%)

rewrite12.0ms (1%)

series15.0ms (1.3%)

simplify47.0ms (4.1%)

prune34.0ms (3%)

localize14.0ms (1.2%)

rewrite26.0ms (2.2%)

series32.0ms (2.7%)

simplify66.0ms (5.7%)

prune127.0ms (10.9%)

regimes200.0ms (17.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample356.0ms (30.8%)

Profiling