Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

321×

body

valid

simplify27.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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)))

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* z (- 1.0 y))
35.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify93.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

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

prune94.0ms

Filtered

47 candidates to 30 candidates (36.2%)

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))

series83.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* z 1.0) (* y (- x z)))
41.0ms	(* y (- x z))

simplify115.0ms

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

prune89.0ms

Filtered

47 candidates to 30 candidates (36.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
0.1b	(* (* y (sqrt (- x z))) (sqrt (- x z)))
0.1b	(* y (sqrt (- x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- x z))
3.0ms	(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
14.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
7.0ms	(* y (sqrt (- x z)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(sqrt (- x z))
39.0ms	(+ (* z 1.0) (* (* y (sqrt (- x z))) (sqrt (- x z))))
46.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))
204.0ms	(* y (sqrt (- x z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	409	656
1	1864	569
2	5001	556

prune357.0ms

Filtered

97 candidates to 63 candidates (35.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

regimes179.0ms

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

sample606.0ms

Algorithm

intervals

Results

262.0ms

10123×

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

sample24.0ms

simplify27.0ms

prune4.0ms

localize6.0ms

rewrite11.0ms

series76.0ms

simplify93.0ms

prune94.0ms

localize6.0ms

rewrite11.0ms

series83.0ms

simplify115.0ms

prune89.0ms

localize8.0ms

rewrite30.0ms

series469.0ms

simplify57.0ms

prune357.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample606.0ms

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