Details

analyze68.0ms

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%	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

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite13.0ms

Algorithm

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:

5.0ms	(+.f64 (.f64 x 2) (.f64 x x))
7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+.f64 (.f64 x 2) (.f64 x x))
7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify50.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5201	298

prune34.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2)))))
22.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
25.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
22.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4936	1700
1	4936	1700

prune128.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
21.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
21.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
21.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))

simplify67.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4938	980
1	4938	980

prune171.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))) 4)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64`
9×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
5.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))) 4)

series108.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))
21.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
23.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))))
42.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))))) 4)

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5205	1306

prune120.0ms

Filtered

67 candidates to 81 candidates (-20.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Merged error: 0b

Counts

85 → 4

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample415.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze68.0ms

sample18.0ms

simplify6.0ms

prune6.0ms

localize7.0ms

rewrite13.0ms

series13.0ms

simplify50.0ms

prune34.0ms

localize10.0ms

rewrite29.0ms

series97.0ms

simplify65.0ms

prune128.0ms

localize18.0ms

rewrite18.0ms

series85.0ms

simplify67.0ms

prune171.0ms

localize15.0ms

rewrite22.0ms

series108.0ms

simplify35.0ms

prune120.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample415.0ms

Profiling