Details

analyze62.0ms

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune4.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
6.0ms	(+.f64 (*.f64 x y) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5115	268

prune25.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
17.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5440	1288

prune87.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
1×	`unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) 2))

series73.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
22.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x y))) 2))

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4964	880
1	4964	880

prune73.0ms

Filtered

62 candidates to 70 candidates (-12.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

regimes99.0ms

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	8	7
1	8	7

end0.0ms

sample310.0ms

Algorithm

intervals

Results

179.0ms	7999×	body	80	valid
1.0ms	70×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze62.0ms

sample16.0ms

simplify6.0ms

prune4.0ms

localize4.0ms

rewrite11.0ms

series11.0ms

simplify35.0ms

prune25.0ms

localize11.0ms

rewrite19.0ms

series74.0ms

simplify69.0ms

prune87.0ms

localize17.0ms

rewrite15.0ms

series73.0ms

simplify62.0ms

prune73.0ms

regimes99.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample310.0ms

Profiling