Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

327×

body

valid

simplify28.0ms

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	(* 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)))

series63.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* z (- 1.0 y))
31.0ms	(+ (* x y) (* 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	3251	188
3	5001	188

prune64.0ms

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))

rewrite13.0ms

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)))
8.0ms	(* y (- x z))

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* z 1.0) (* y (- x z)))
34.0ms	(* y (- x z))

simplify112.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	195	202
1	878	188
2	4351	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	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

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (* z (- 1.0 y)))
0.1b	(pow (+ (* x y) (* z (- 1.0 y))) 3)
40.6b	(cbrt (pow (+ (* x y) (* z (- 1.0 y))) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`associate-r`
4×	`cube-div` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`pow-unpow` `flip3-+` `associate-l` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*r/` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `rem-cbrt-cube` `cbrt-unprod` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

6.0ms	(* z (- 1.0 y))
4.0ms	(+ (* x y) (* z (- 1.0 y)))
4.0ms	(pow (+ (* x y) (* z (- 1.0 y))) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z (- 1.0 y))) 3))

series197.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* z (- 1.0 y))
30.0ms	(+ (* x y) (* z (- 1.0 y)))
107.0ms	(pow (+ (* x y) (* z (- 1.0 y))) 3)
28.0ms	(cbrt (pow (+ (* x y) (* z (- 1.0 y))) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	363	659
1	1712	618
2	5001	612

prune152.0ms

Filtered

101 candidates to 57 candidates (56.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes77.0ms

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

sample497.0ms

Algorithm

intervals

Results

292.0ms

10118×

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

simplify28.0ms

prune2.0ms

localize6.0ms

rewrite11.0ms

series63.0ms

simplify91.0ms

prune64.0ms

localize6.0ms

rewrite13.0ms

series67.0ms

simplify112.0ms

prune58.0ms

localize12.0ms

rewrite20.0ms

series197.0ms

simplify59.0ms

prune152.0ms

regimes77.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample497.0ms

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