Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

318×

body

valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5001	2

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 5.9b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.8b	(* x (/ y z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(* x (/ y z))

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	166	133
1	744	118
2	3153	118
3	5002	118

prune70.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
11.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
172.0ms	(cbrt z)
171.0ms	(cbrt z)
78.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify40.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	301	473
1	1336	381
2	5001	342

prune185.0ms

Filtered

75 candidates to 57 candidates (76.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
15.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series603.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt z)
174.0ms	(cbrt z)
181.0ms	(cbrt z)
75.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	301	473
1	1336	381
2	5001	342

prune404.0ms

Filtered

75 candidates to 57 candidates (76.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	74	11	85

Merged error: 0.0b

Counts

85 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.3b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
25×	`prod-exp` `cbrt-unprod`
24×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
8×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`times-frac` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
24.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

series597.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
175.0ms	(cbrt z)
170.0ms	(cbrt z)
75.0ms	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (* (* (cbrt (cbrt z)) (cbrt (cbrt z))) (cbrt (cbrt z))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	427	902
1	2150	626
2	5001	513

prune203.0ms

Filtered

82 candidates to 57 candidates (69.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	82	11	93

Merged error: 0.0b

Counts

93 → 11

regimes204.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms

sample487.0ms

Algorithm

intervals

Results

264.0ms

9592×

body

valid