Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

308×

body

valid

simplify82.0ms

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: 5.7b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

5.5b	(* x (/ y z))

rewrite7.0ms

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))

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(* x (/ y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

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

prune72.0ms

Filtered

35 candidates to 24 candidates (68.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	27	8	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Merged error: 0.0b

Counts

37 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
1.1b	(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite16.0ms

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))))

series623.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt z)
171.0ms	(cbrt z)
198.0ms	(cbrt z)
77.0ms	(* 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

prune191.0ms

Filtered

75 candidates to 57 candidates (76.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	75	9	84

Merged error: 0.0b

Counts

84 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.6b	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 92

Calls

4 calls:

1.0ms	(cbrt z)
4.0ms	(cbrt z)
1.0ms	(cbrt z)
14.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series571.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt z)
172.0ms	(cbrt z)
180.0ms	(cbrt z)
47.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	420	720
1	2228	581
2	5001	542

prune222.0ms

Filtered

104 candidates to 81 candidates (77.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	103	10	113

Merged error: 0b

Counts

113 → 10

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
3.5b	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 80

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series561.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt y)
172.0ms	(cbrt y)
171.0ms	(cbrt y)
42.0ms	(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify57.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	356	579
1	2031	443
2	5002	404

prune169.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	3	3
Total	92	10	102

Merged error: 0b

Counts

102 → 10

regimes187.0ms

Accuracy

0% (1.9b 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

sample520.0ms

Algorithm

intervals

Results

282.0ms

9536×

body

valid