Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	224×	body	80	valid
5.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	6×	body	2560	valid
1.0ms	11×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

Iter	Nodes	Cost
0	22	6
1	65	6
2	175	4
3	402	3
4	919	2
5	2892	2
6	5001	2

prune5.0ms

Filtered

1 candidates to 1 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 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

6.0ms

(* y (- x z))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* y (- x z))

simplify46.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	112	98
1	462	88
2	1883	88
3	5002	88

prune36.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	3	29
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

4.0ms

(+ (* y x) (* y (- z)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (* y x) (* y (- z)))

simplify64.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	106	90
1	438	69
2	1930	66
3	5002	65

prune25.0ms

Filtered

17 candidates to 11 candidates (64.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	17	4	21

Merged error: 0b

Counts

21 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sqrt y) (- x z))
0.1b	(* (sqrt y) (* (sqrt y) (- x z)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

7.0ms	(* (sqrt y) (- x z))
9.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series120.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (sqrt y) (- x z))
44.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify38.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	251	334
1	1103	284
2	5002	277

prune80.0ms

Filtered

67 candidates to 37 candidates (55.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (* z z) (* x z))
3.0b	(- (pow x 3) (pow z 3))
7.1b	(* y (- (pow x 3) (pow z 3)))
36.9b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

4.0ms	(+ (* z z) (* x z))
11.0ms	(- (pow x 3) (pow z 3))
17.0ms	(* y (- (pow x 3) (pow z 3)))
19.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* z z) (* x z))
56.0ms	(- (pow x 3) (pow z 3))
109.0ms	(* y (- (pow x 3) (pow z 3)))
137.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify78.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	496	919
1	2508	821
2	5001	814

prune251.0ms

Filtered

129 candidates to 79 candidates (61.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	129	4	133

Merged error: 0b

Counts

133 → 4

regimes55.0ms

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	6	2
1	6	2

end0.0ms

sample870.0ms

Algorithm

intervals

Results

256.0ms	7001×	body	80	valid
162.0ms	1028×	body	1280	valid
116.0ms	939×	body	640	valid
59.0ms	601×	body	320	valid
39.0ms	209×	body	2560	valid
22.0ms	347×	body	160	valid