Details

analyze569.0ms

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample25.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
2.0ms	59×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune7.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series27.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
10.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4974	377
1	4974	377

prune64.0ms

Filtered

28 candidates to 37 candidates (-32.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	28	9	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	10	38

Merged error: 0.0b

Counts

38 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite26.0ms

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:

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

series161.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
36.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
39.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
36.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4859	1017
1	4859	1017

prune103.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (*.f64 y x) z))
0.6b	(cbrt.f64 y)
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (*.f64 y x) z))
1.0ms	(cbrt.f64 y)
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 (+.f64 (*.f64 y x) z))
14.0ms	(cbrt.f64 y)
39.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
36.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4902	510
1	4902	510

prune80.0ms

Filtered

54 candidates to 58 candidates (-7.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (*.f64 y x) z))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.8b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (*.f64 y x) z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (+.f64 (*.f64 y x) z))
16.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)
36.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4902	414
1	4902	414

prune54.0ms

Filtered

51 candidates to 58 candidates (-13.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

regimes462.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample541.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
58.0ms	1857×	body	80	invalid

Details

analyze569.0ms

sample25.0ms

simplify6.0ms

prune7.0ms

localize7.0ms

rewrite16.0ms

series27.0ms

simplify42.0ms

prune64.0ms

localize13.0ms

rewrite26.0ms

series161.0ms

simplify67.0ms

prune103.0ms

localize18.0ms

rewrite17.0ms

series119.0ms

simplify53.0ms

prune80.0ms

localize16.0ms

rewrite13.0ms

series95.0ms

simplify52.0ms

prune54.0ms

regimes462.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample541.0ms

Profiling