Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

318×

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

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

series60.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (- 1.0 y))
28.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	194	208
1	748	188
2	3251	188
3	5001	188

prune68.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Merged error: 0b

Counts

48 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

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

series71.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* z 1.0) (* y (- x z)))
34.0ms	(* y (- x z))

simplify114.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	195	202
1	878	188
2	4351	188
3	5001	188

prune59.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
2.0b	(* z (- (* 1.0 1.0) (* y y)))
5.9b	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

6.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
6.0ms	(* z (- (* 1.0 1.0) (* y y)))
9.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series195.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
59.0ms	(* z (- (* 1.0 1.0) (* y y)))
82.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	379	555
1	1779	478
2	5002	475

prune110.0ms

Filtered

72 candidates to 49 candidates (68.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	72	3	75

Merged error: 0b

Counts

75 → 3

regimes61.0ms

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

sample476.0ms

Algorithm

intervals

Results

278.0ms

9969×

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

Details

sample18.0ms

simplify29.0ms

prune2.0ms

localize9.0ms

rewrite11.0ms

series60.0ms

simplify93.0ms

prune68.0ms

localize6.0ms

rewrite11.0ms

series71.0ms

simplify114.0ms

prune59.0ms

localize10.0ms

rewrite23.0ms

series195.0ms

simplify53.0ms

prune110.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample476.0ms

Profiling

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