Details

analyze580.0ms

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

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	68×	body	128	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms

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 3 expressions with local error:

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

rewrite26.0ms

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×	`+-commutative_binary64` `associate-*l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series203.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+.f64 (*.f64 x y) z)
103.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
64.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5301	719

prune38.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	43	8	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	9	52

Merged error: 0.0b

Counts

52 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.3b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.3b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.3b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite33.0ms

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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

331.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
253.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
242.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
251.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4961	1545
1	4961	1545

prune83.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (+.f64 (*.f64 y x) z))
6.3b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.3b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite21.0ms

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:

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

series852.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt.f64 y)
192.0ms	(cbrt.f64 (+.f64 (*.f64 y x) z))
258.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
256.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4944	785
1	4944	785

prune67.0ms

Filtered

54 candidates to 58 candidates (-7.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	8	8
Picked	1	0	1
Done	0	2	2
Total	58	11	69

Merged error: 0.0b

Counts

69 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series643.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
152.0ms	(cbrt.f64 y)
156.0ms	(cbrt.f64 y)
165.0ms	(cbrt.f64 y)

simplify63.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune54.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	3	5	8
Picked	0	1	1
Done	0	2	2
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

regimes128.0ms

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	13	13
1	13	13

end0.0ms

sample527.0ms

Algorithm

intervals

Results

226.0ms	8000×	body	128	valid
56.0ms	1884×	body	128	invalid

Details

analyze580.0ms

sample19.0ms

simplify9.0ms

prune2.0ms

localize7.0ms

rewrite26.0ms

series203.0ms

simplify38.0ms

prune38.0ms

localize13.0ms

rewrite33.0ms

series1.1s

simplify94.0ms

prune83.0ms

localize17.0ms

rewrite21.0ms

series852.0ms

simplify106.0ms

prune67.0ms

localize11.0ms

rewrite18.0ms

series643.0ms

simplify63.0ms

prune54.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample527.0ms

Profiling