Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

325×

body

valid

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

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: 1.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.1b	(* (- y x) (/ z t))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`pow1`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 38

Calls

1 calls:

10.0ms

(* (- y x) (/ z t))

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (- y x) (/ z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	237	215
1	1031	194
2	5001	188

prune101.0ms

Filtered

41 candidates to 29 candidates (70.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	8	42

Merged error: 0.0b

Counts

42 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.9b	(cbrt (/ z t))
10.9b	(cbrt (/ z t))
10.9b	(cbrt (/ z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

14.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series300.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
62.0ms	(cbrt (/ z t))
60.0ms	(cbrt (/ z t))
63.0ms	(cbrt (/ z t))

simplify81.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	338	774
1	926	705
2	3350	693
3	5001	669

prune292.0ms

Filtered

110 candidates to 88 candidates (80.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0b

Counts

118 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

6.1b	(* (- y x) (/ z t))
7.1b	(cbrt (* (- y x) (/ z t)))
7.1b	(cbrt (* (- y x) (/ z t)))
7.1b	(cbrt (* (- y x) (/ z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`cbrt-div`
14×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*l/` `flip--`
6×	`pow1`
5×	`associate-l`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* (- y x) (/ z t))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))
6.0ms	(cbrt (* (- y x) (/ z t)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- y x) (/ z t))
134.0ms	(cbrt (* (- y x) (/ z t)))
138.0ms	(cbrt (* (- y x) (/ z t)))
140.0ms	(cbrt (* (- y x) (/ z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	683
1	1475	635
2	5002	623

prune278.0ms

Filtered

92 candidates to 77 candidates (83.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0b

Counts

101 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
2.5b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
3.8b	(* (cbrt (- y x)) (/ z t))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
19.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
10.0ms	(* (cbrt (- y x)) (/ z t))

series546.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- y x))
163.0ms	(cbrt (- y x))
41.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
195.0ms	(* (cbrt (- y x)) (/ z t))

simplify90.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1866
2	5001	1813

prune344.0ms

Filtered

164 candidates to 100 candidates (61.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	164	9	173

Merged error: 0b

Counts

173 → 9

regimes201.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample584.0ms

Algorithm

intervals

Results

300.0ms

10537×

body

valid