Details

analyze283.0ms (15.6%)

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
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample19.0ms (1.1%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
0.0ms	17×	body	80	invalid

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune9.0ms (0.5%)

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: 0.1b

Counts

2 → 2

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
0.2b	(.f64 (.f64 z z) 3)

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-l_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) 3)
4.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))

series19.0ms (1%)

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))
4.0ms	(.f64 (.f64 z z) 3)

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune56.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.1b	(.f64 z (.f64 z 3))

rewrite13.0ms (0.7%)

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` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

7.0ms	(.f64 z (.f64 z 3))
5.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))

series19.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

simplify42.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5454	285

prune48.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
0.0b	(+.f64 (.f64 x y) (.f64 z z))
0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
10×	`sum-log_binary64`
3×	`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`
2×	`associate-+l+_binary64`

Counts

3 → 38

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
4.0ms	(+.f64 (.f64 x y) (.f64 z z))

series41.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
14.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
12.0ms	(+.f64 (.f64 x y) (.f64 z z))

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4862	519
1	4862	519

prune53.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite38.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`pow1_binary64`
33×	`add-exp-log_binary64`
27×	`pow-prod-down_binary64`
21×	`cbrt-unprod_binary64` `prod-exp_binary64`
20×	`add-cbrt-cube_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`cbrt-prod_binary64`
2×	`associate-l_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 70

Calls

3 calls:

18.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

12.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

5.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series44.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

20.0ms

(+.f64 (*.f64 x y) (*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

13.0ms

(*.f64 (*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

11.0ms

(*.f64 (*.f64 z z) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify50.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	591
1	4968	591

prune87.0ms (4.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

regimes375.0ms (20.7%)

Accuracy

Total 0.1b remaining (84.6%)

Threshold costs 0.1b (84.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample430.0ms (23.8%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	80	valid
13.0ms	454×	body	80	invalid

Details

analyze283.0ms (15.6%)

sample19.0ms (1.1%)

simplify6.0ms (0.3%)

prune9.0ms (0.5%)

localize7.0ms (0.4%)

rewrite12.0ms (0.7%)

series19.0ms (1%)

simplify56.0ms (3.1%)

prune56.0ms (3.1%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series19.0ms (1.1%)

simplify42.0ms (2.3%)

prune48.0ms (2.7%)

localize7.0ms (0.4%)

rewrite22.0ms (1.2%)

series41.0ms (2.2%)

simplify58.0ms (3.2%)

prune53.0ms (2.9%)

localize9.0ms (0.5%)

rewrite38.0ms (2.1%)

series44.0ms (2.4%)

simplify50.0ms (2.8%)

prune87.0ms (4.8%)

regimes375.0ms (20.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample430.0ms (23.8%)

Profiling