Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify97.0ms

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: 0.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.1b	(* (- 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)))
10.0ms	(* (- 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))

simplify41.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (36.0ms)

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

prune116.0ms

Filtered

55 candidates to 39 candidates (70.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0b

Counts

56 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
4.5b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
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` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
18.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
189.0ms	(cbrt t)
176.0ms	(cbrt t)
74.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune256.0ms

Filtered

106 candidates to 83 candidates (78.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0b

Counts

113 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x z) t)))
6.2b	(/ (* z y) t)
7.2b	(/ (* x z) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
12×	`*-un-lft-identity`
8×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`associate-+r+` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate-/l*`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--`

Counts

3 → 59

Calls

3 calls:

10.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
5.0ms	(/ (* z y) t)
5.0ms	(/ (* x z) t)

series78.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
23.0ms	(/ (* z y) t)
19.0ms	(/ (* x z) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	274	333
1	1338	291
2	5001	291

prune112.0ms

Filtered

68 candidates to 46 candidates (67.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	68	6	74

Merged error: 0b

Counts

74 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ x (/ t z))))
4.4b	(/ x (/ t z))
6.2b	(/ (* z y) t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
52×	`*-un-lft-identity`
47×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/l*`
3×	`pow1`
2×	`associate-+r+` `frac-2neg` `clear-num` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `distribute-lft-out--`

Counts

3 → 108

Calls

3 calls:

27.0ms	(+ x (- (/ (* z y) t) (/ x (/ t z))))
6.0ms	(/ x (/ t z))
5.0ms	(/ (* z y) t)

series76.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (- (/ (* z y) t) (/ x (/ t z))))
20.0ms	(/ x (/ t z))
20.0ms	(/ (* z y) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	493	699
1	2233	653
2	5001	652

prune221.0ms

Filtered

117 candidates to 90 candidates (76.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	117	6	123

Merged error: 0b

Counts

123 → 6

regimes151.0ms

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	10	4
1	10	4

end0.0ms

sample531.0ms

Algorithm

intervals

Results

273.0ms

10550×

body

valid