Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

330×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (- 1.0 y)))
0.0b	(* z (- 1.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x y) (* z (- 1.0 y)))
6.0ms	(* z (- 1.0 y))

series61.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x y) (* z (- 1.0 y)))
34.0ms	(* z (- 1.0 y))

simplify91.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	194	208
1	748	188
2	3250	188
3	5001	188

prune59.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
0.0b	(+ (* z 1.0) (* y (- x z)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* y (- x z))
4.0ms	(+ (* z 1.0) (* y (- x z)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* y (- x z))
35.0ms	(+ (* z 1.0) (* y (- x z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	195	202
1	878	188
2	4352	188
3	5001	188

prune58.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z 1.0) (/ (* y (- (* x x) (* z z))) (+ x z)))
4.5b	(- (* x x) (* z z))
10.3b	(* y (- (* x x) (* z z)))
18.1b	(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ (* z 1.0) (/ (* y (- (* x x) (* z z))) (+ x z)))
3.0ms	(- (* x x) (* z z))
6.0ms	(* y (- (* x x) (* z z)))
11.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

series211.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* z 1.0) (/ (* y (- (* x x) (* z z))) (+ x z)))
31.0ms	(- (* x x) (* z z))
59.0ms	(* y (- (* x x) (* z z)))
69.0ms	(/ (* y (- (* x x) (* z z))) (+ x z))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	387	631
1	1913	550
2	5002	523

prune138.0ms

Filtered

88 candidates to 59 candidates (67.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample452.0ms

Algorithm

intervals

Results

249.0ms

10028×

body

valid

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4

Iter	Nodes	Cost
0	13	4
1	20	4
2	34	4
3	49	4
4	57	4
5	69	4
6	90	4
7	127	4
8	176	4
9	304	4
10	439	4
11	449	4
12	449	4