Details

analyze505.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 z y))
7.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	327
1	4949	327

prune39.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
3.3b	(cbrt.f64 (*.f64 x (-.f64 z y)))
3.3b	(cbrt.f64 (*.f64 x (-.f64 z y)))
3.3b	(cbrt.f64 (*.f64 x (-.f64 z y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
32.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
35.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))
32.0ms	(cbrt.f64 (*.f64 x (-.f64 z y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4955	794
1	4955	794

prune75.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

2.2b	(+.f64 (.f64 y y) (.f64 z y))
2.9b	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
6.9b	(*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
36.6b	(/.f64 (.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt_binary64`
32×	`difference-of-squares_binary64`
28×	`*-un-lft-identity_binary64`
25×	`associate-r_binary64`
24×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`sqr-pow_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`distribute-lft-out--_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`pow1_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-l*_binary64` `times-frac_binary64` `flip--_binary64`
2×	`difference-cubes_binary64` `flip3-+_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-rgt-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

4.0ms	(+.f64 (.f64 y y) (.f64 z y))
11.0ms	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
19.0ms	(*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
20.0ms	(/.f64 (.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 (.f64 y y) (.f64 z y))
8.0ms	(-.f64 (pow.f64 z 3) (pow.f64 y 3))
27.0ms	(*.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3)))
45.0ms	(/.f64 (.f64 x (-.f64 (pow.f64 z 3) (pow.f64 y 3))) (+.f64 (.f64 z z) (+.f64 (.f64 y y) (.f64 z y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4976	1545
1	4976	1545

prune105.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 z y))
0.0b	(+.f64 y (*.f64 x (-.f64 z y)))
0.1b	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
42.1b	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
4.0ms	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))

series52.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 x (-.f64 z y))
9.0ms	(+.f64 y (*.f64 x (-.f64 z y)))
27.0ms	(pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3)
8.0ms	(cbrt.f64 (pow.f64 (+.f64 y (*.f64 x (-.f64 z y))) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5048	1002

prune61.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0b

Counts

101 → 4

regimes144.0ms

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	18	7
1	18	7

end0.0ms

sample431.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
21.0ms	664×	body	80	invalid

Details

analyze505.0ms

sample17.0ms

simplify15.0ms

prune9.0ms

localize5.0ms

rewrite14.0ms

series15.0ms

simplify59.0ms

prune39.0ms

localize11.0ms

rewrite23.0ms

series144.0ms

simplify54.0ms

prune75.0ms

localize15.0ms

rewrite59.0ms

series85.0ms

simplify67.0ms

prune105.0ms

localize9.0ms

rewrite21.0ms

series52.0ms

simplify46.0ms

prune61.0ms

regimes144.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample431.0ms

Profiling