Details

analyze729.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample27.0ms

Algorithm

intervals

Results

13.0ms	248×	body	80	valid
3.0ms	73×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune4.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 y z) 2) t)
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 46

Calls

3 calls:

7.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)
11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series103.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)
50.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
37.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify65.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4979	974
1	4979	974

prune49.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
0.0b	(.f64 x (.f64 (+.f64 y z) 2))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64`
1×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

11.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
7.0ms	(.f64 x (.f64 (+.f64 y z) 2))
12.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))

series121.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
32.0ms	(.f64 x (.f64 (+.f64 y z) 2))
50.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))

simplify89.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5039	933

prune42.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2))) (cbrt.f64 (.f64 x (*.f64 (+.f64 y z) 2))))
3.6b	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
3.6b	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
3.6b	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-r/_binary64` `associate-l/_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`
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 (+.f64 y z) 2))) (cbrt.f64 (.f64 x (*.f64 (+.f64 y z) 2))))
6.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
6.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
6.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))

series663.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2))) (cbrt.f64 (.f64 x (*.f64 (+.f64 y z) 2))))
148.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
145.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))
148.0ms	(cbrt.f64 (.f64 x (.f64 (+.f64 y z) 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5079	1573

prune110.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite57.0ms

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:

24.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series1.4s

Counts

4 → 12

Calls

4 calls:

590.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
254.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
253.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
259.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify119.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4950	3884
1	4950	3884

prune192.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

regimes83.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms

sample642.0ms

Algorithm

intervals

Results

293.0ms	7740×	body	80	valid
69.0ms	1837×	body	80	invalid
14.0ms	105×	body	640	valid
12.0ms	70×	body	1280	valid
6.0ms	56×	body	320	valid
2.0ms	29×	body	160	valid

Details

analyze729.0ms

sample27.0ms

simplify21.0ms

prune4.0ms

localize9.0ms

rewrite29.0ms

series103.0ms

simplify65.0ms

prune49.0ms

localize11.0ms

rewrite32.0ms

series121.0ms

simplify89.0ms

prune42.0ms

localize18.0ms

rewrite28.0ms

series663.0ms

simplify55.0ms

prune110.0ms

localize14.0ms

rewrite57.0ms

series1.4s

simplify119.0ms

prune192.0ms

regimes83.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample642.0ms

Profiling