Details

analyze69.0ms (4.3%)

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%	50%	25.1%	6
25%	31.2%	43.8%	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

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite11.0ms (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 y y) 3)
5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))

series14.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
5.0ms	(.f64 (.f64 y y) 3)

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4939	289
1	4939	289

prune59.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.0b

Counts

37 → 7

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.6%)

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:

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

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
4.0ms	(.f64 y (.f64 y 3))

simplify56.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4926	279
1	4926	279

prune51.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	34	8	42

Merged error: 0.0b

Counts

42 → 8

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.3b

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite34.0ms (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:

15.0ms

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

11.0ms

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

5.0ms

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

series42.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

16.0ms

(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

14.0ms

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

12.0ms

(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify65.0ms (4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4972	585
1	4972	585

prune92.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
0.2b	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
0.2b	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
0.2b	(.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))

rewrite43.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`add-exp-log_binary64`
49×	`prod-exp_binary64`
22×	`add-cbrt-cube_binary64`
19×	`cbrt-unprod_binary64` `associate-r_binary64`
17×	`cbrt-prod_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
11×	`pow1_binary64`
7×	`sqrt-prod_binary64`
6×	`pow-to-exp_binary64` `add-log-exp_binary64` `unpow-prod-down_binary64` `pow-exp_binary64`
4×	`pow-prod-down_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `unpow2_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 103

Calls

4 calls:

14.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
11.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
8.0ms	(.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))
6.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))

series152.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
39.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
37.0ms	(+.f64 (.f64 x x) (.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
29.0ms	(.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))

simplify60.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4983	1294
1	4983	1294

prune161.0ms (9.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	114	7	121

Merged error: 0b

Counts

121 → 7

regimes218.0ms (13.5%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

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%)

sample360.0ms (22.3%)

Algorithm

1×

intervals

Results

235.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze69.0ms (4.3%)

sample15.0ms (0.9%)

simplify6.0ms (0.4%)

prune6.0ms (0.4%)

localize6.0ms (0.3%)

rewrite11.0ms (0.7%)

series14.0ms (0.9%)

simplify42.0ms (2.6%)

prune59.0ms (3.7%)

localize6.0ms (0.3%)

rewrite10.0ms (0.6%)

series13.0ms (0.8%)

simplify56.0ms (3.4%)

prune51.0ms (3.1%)

localize9.0ms (0.5%)

rewrite34.0ms (2.1%)

series42.0ms (2.6%)

simplify65.0ms (4%)

prune92.0ms (5.7%)

localize14.0ms (0.8%)

rewrite43.0ms (2.6%)

series152.0ms (9.4%)

simplify60.0ms (3.7%)

prune161.0ms (9.9%)

regimes218.0ms (13.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample360.0ms (22.3%)

Profiling