Details

sample60.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
9.0ms	208×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	148×	body	80	nan
4.0ms	83×	body	80	overflowed
3.0ms	21×	body	320	valid
1.0ms	11×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
10.0b	(pow (/ x (+ x y)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

11.0ms	(/ x (+ x y))
16.0ms	(pow (/ x (+ x y)) x)

series257.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (+ x y))
216.0ms	(pow (/ x (+ x y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	309	402
1	1244	387
2	5002	386

prune146.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
27.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series795.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
176.0ms	(cbrt x)
182.0ms	(cbrt x)
260.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify137.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	367	613
1	1117	573
2	4414	551
3	5001	551

prune253.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

4.0ms	(cbrt (+ x y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series663.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ x y))
188.0ms	(cbrt x)
176.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	139	204
1	348	190
2	1107	182
3	5002	182

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
1.8b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
1.8b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
1.8b	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
39×	`cbrt-div`
24×	`associate-/r/`
18×	`flip3-+` `flip-+`
12×	`frac-times`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r/` `associate-l/`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`times-frac` `div-inv`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt x)
18.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
22.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
18.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

series578.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x)
137.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
132.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))
138.0ms	(cbrt (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))))

simplify106.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 4 (96.0ms)

Iter	Nodes	Cost
0	195	1173
1	406	1104
2	1043	1093
3	4264	1093
4	5002	1087

prune402.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	12	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

441.0ms	1024×	body	1280	valid
282.0ms	6508×	body	80	valid
246.0ms	998×	body	640	valid
126.0ms	2681×	body	80	overflowed
117.0ms	3937×	body	80	nan
90.0ms	559×	body	320	valid
46.0ms	441×	body	160	valid