Details

analyze101.0ms

Algorithm

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

sample16.0ms

Algorithm

intervals

Results

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

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	38	9
1	38	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

localize10.0ms

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)

rewrite20.0ms

Algorithm

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:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
11.0ms	(.f64 (.f64 y y) 3)

series15.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 y y) 3))
7.0ms	(.f64 (.f64 y y) 3)

simplify42.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4939	289
1	4939	289

prune45.0ms

Filtered

22 candidates to 36 candidates (-63.6%)

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

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

Algorithm

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x x) (.f64 y (*.f64 y 3)))
4.0ms	(.f64 y (.f64 y 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4926	279
1	4926	279

prune38.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

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

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))

rewrite37.0ms

Algorithm

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:

5.0ms

(+.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)))

17.0ms

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

series40.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms

(+.f64 (*.f64 x x) (*.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)))

13.0ms

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

simplify66.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4972	585
1	4972	585

prune54.0ms

Filtered

38 candidates to 79 candidates (-107.9%)

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

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)))

rewrite45.0ms

Algorithm

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:

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))))
12.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
15.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
9.0ms	(.f64 (.f64 y y) (cbrt.f64 (sqrt.f64 3)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.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))))
37.0ms	(.f64 (pow.f64 (cbrt.f64 3) 2) (.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
43.0ms	(.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)))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4983	1294
1	4983	1294

prune100.0ms

Filtered

64 candidates to 115 candidates (-79.7%)

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

regimes212.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample337.0ms

Algorithm

intervals

Results

220.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze101.0ms

sample16.0ms

simplify9.0ms

prune11.0ms

localize10.0ms

rewrite20.0ms

series15.0ms

simplify42.0ms

prune45.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify55.0ms

prune38.0ms

localize9.0ms

rewrite37.0ms

series40.0ms

simplify66.0ms

prune54.0ms

localize14.0ms

rewrite45.0ms

series144.0ms

simplify63.0ms

prune100.0ms

regimes212.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample337.0ms

Profiling