Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 4.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
10.2b	(* (- y x) (/ z t))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune127.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	11	56

Merged error: 0.0b

Counts

56 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt t)
3.0ms	(cbrt t)
1.0ms	(cbrt t)
14.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt t)
168.0ms	(cbrt t)
171.0ms	(cbrt t)
121.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))

simplify49.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	385	599
1	1673	477
2	5002	438

prune256.0ms

Filtered

81 candidates to 62 candidates (76.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	81	11	92

Merged error: 0b

Counts

92 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

15.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
12.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
12.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
11.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

series873.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
254.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
248.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
248.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	480	1283
1	1900	1114
2	5001	1088

prune399.0ms

Filtered

90 candidates to 72 candidates (80.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	92	9	101

Merged error: 0b

Counts

101 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
4.0b	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

171×	`cbrt-div`
88×	`frac-times`
60×	`flip3--` `flip--`
44×	`associate-*l/`
29×	`associate-*r/`
22×	`add-exp-log`
14×	`add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`times-frac` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

14.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
12.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
15.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
24.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

series889.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
256.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
249.0ms	(cbrt (* (- y x) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))))
263.0ms	(cbrt (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))))

simplify85.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	951	2943
1	3042	2760
2	5001	2685

prune580.0ms

Filtered

138 candidates to 87 candidates (63.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	138	9	147

Merged error: 0b

Counts

147 → 9

regimes234.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	44
1	28	44

end0.0ms

sample567.0ms

Algorithm

intervals

Results

290.0ms

10685×

body

valid