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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	268	10
1	268	10

prune1.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(.f64 (.f64 x y) (-.f64 1 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

12.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(*.f64 (*.f64 x y) (-.f64 1 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4998	312
1	4998	312

prune22.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

50×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`flip3--_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_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 → 107

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))

series183.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(*.f64 (cbrt.f64 (-.f64 1 y)) (cbrt.f64 (-.f64 1 y)))
45.0ms	(cbrt.f64 (-.f64 1 y))
42.0ms	(cbrt.f64 (-.f64 1 y))
47.0ms	(cbrt.f64 (-.f64 1 y))

simplify77.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4832	1690
1	4832	1690

prune105.0ms

Filtered

77 candidates to 119 candidates (-54.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	119	8	127

Merged error: 0.0b

Counts

127 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.4b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod_binary64`
23×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
12×	`unpow-prod-down_binary64`
11×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 75

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)

series236.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt.f64 (-.f64 1 y))
40.0ms	(cbrt.f64 (-.f64 1 y))
44.0ms	(cbrt.f64 (-.f64 1 y))
113.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 y))) 4)

simplify96.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4837	1263
1	4837	1263

prune117.0ms

Filtered

65 candidates to 87 candidates (-33.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 1 y))
0.2b	(cbrt.f64 (-.f64 1 y))
0.4b	(pow.f64 (cbrt.f64 (-.f64 1 y)) 4)
1.4b	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 4))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod_binary64`
24×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64`
8×	`difference-of-squares_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64`
2×	`flip3--_binary64` `pow-pow_binary64` `sqr-pow_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 77

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 1 y))
4.0ms	(cbrt.f64 (-.f64 1 y))
6.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 4)
7.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 4))

series253.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt.f64 (-.f64 1 y))
45.0ms	(cbrt.f64 (-.f64 1 y))
115.0ms	(pow.f64 (cbrt.f64 (-.f64 1 y)) 4)
48.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 1 y)) 4))

simplify104.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4823	1358
1	4823	1358

prune110.0ms

Filtered

66 candidates to 89 candidates (-34.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

regimes58.0ms

Accuracy

0% (0.1b 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	19	10
1	19	10

end0.0ms

sample299.0ms

Algorithm

intervals

Results

170.0ms	8000×	body	128	valid
4.0ms	182×	body	128	invalid

Details

analyze66.0ms

sample11.0ms

simplify20.0ms

prune1.0ms

localize4.0ms

rewrite14.0ms

series73.0ms

simplify57.0ms

prune22.0ms

localize11.0ms

rewrite37.0ms

series183.0ms

simplify77.0ms

prune105.0ms

localize13.0ms

rewrite27.0ms

series236.0ms

simplify96.0ms

prune117.0ms

localize17.0ms

rewrite29.0ms

series253.0ms

simplify104.0ms

prune110.0ms

regimes58.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample299.0ms

Profiling