Details

analyze66.0ms

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

sample13.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	44	7
1	44	7

prune5.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

7.0ms	(+.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)

simplify36.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5115	268

prune35.0ms

Filtered

23 candidates to 31 candidates (-34.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Merged error: 0b

Counts

32 → 5

localize8.0ms

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)))

rewrite20.0ms

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)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
18.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
16.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5440	1288

prune88.0ms

Filtered

79 candidates to 99 candidates (-25.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0b

Counts

104 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
2.9b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
7.1b	(.f64 x (.f64 y y))
25.3b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(-.f64 (*.f64 x y) x)
9.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))
14.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

series58.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (*.f64 x y) x)
16.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
9.0ms	(.f64 x (.f64 y y))
27.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5937	868

prune62.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)
0.0b	(+.f64 x (*.f64 x y))
0.1b	(pow.f64 (+.f64 x (*.f64 x y)) 3)
36.3b	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)
3.0ms	(+.f64 x (*.f64 x y))
4.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3)) y)
6.0ms	(+.f64 x (*.f64 x y))
8.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)
6.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5017	768

prune53.0ms

Filtered

50 candidates to 83 candidates (-66.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	83	5	88

Merged error: 0b

Counts

88 → 5

regimes120.0ms

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

sample308.0ms

Algorithm

intervals

Results

173.0ms	7997×	body	80	valid
2.0ms	78×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze66.0ms

sample13.0ms

simplify7.0ms

prune5.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify36.0ms

prune35.0ms

localize8.0ms

rewrite20.0ms

series72.0ms

simplify75.0ms

prune88.0ms

localize11.0ms

rewrite35.0ms

series58.0ms

simplify50.0ms

prune62.0ms

localize7.0ms

rewrite24.0ms

series25.0ms

simplify55.0ms

prune53.0ms

regimes120.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample308.0ms

Profiling