Details

sample14.0ms

Algorithm

intervals

Results

4.0ms	224×	body	80	valid
1.0ms	10×	body	1280	valid
1.0ms	7×	body	2560	valid
0.0ms	8×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

10.0ms

(+ x (/ (- x y) 2.0))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(+ x (/ (- x y) 2.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 4 (113.0ms)

Iter	Nodes	Cost
0	97	89
1	261	81
2	773	81
3	3727	81
4	5001	80

prune71.0ms

Filtered

21 candidates to 17 candidates (81.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	14	7	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	8	22

Merged error: 0.0b

Counts

22 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series947.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt x) (cbrt x))
224.0ms	(cbrt x)
237.0ms	(cbrt x)
222.0ms	(cbrt x)

simplify137.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3275	261
3	5001	258

prune315.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

132×	`cbrt-prod`
56×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt x)
8.0ms	(cbrt (* (cbrt x) (cbrt x)))
8.0ms	(cbrt (* (cbrt x) (cbrt x)))
8.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt x)
339.0ms	(cbrt (* (cbrt x) (cbrt x)))
352.0ms	(cbrt (* (cbrt x) (cbrt x)))
339.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	133	958
1	392	928
2	2019	841
3	5001	841

prune495.0ms

Filtered

136 candidates to 97 candidates (71.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	136	9	145

Merged error: 0.0b

Counts

145 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

104×	`cbrt-prod`
42×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`unswap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`

Counts

4 → 106

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
2.0ms	(cbrt (cbrt x))
8.0ms	(cbrt (* (cbrt x) (cbrt x)))
9.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.2s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (cbrt x))
280.0ms	(cbrt (cbrt x))
319.0ms	(cbrt (* (cbrt x) (cbrt x)))
310.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify57.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	136	770
1	345	742
2	1329	680
3	5001	680

prune420.0ms

Filtered

118 candidates to 86 candidates (72.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

regimes120.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample315.0ms

Algorithm

intervals

Results

148.0ms	7363×	body	80	valid
18.0ms	232×	body	1280	valid
11.0ms	171×	body	640	valid
9.0ms	94×	body	2560	valid
5.0ms	94×	body	320	valid
2.0ms	46×	body	160	valid