Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	235×	body	80	valid
3.0ms	32×	body	640	valid
2.0ms	18×	body	1280	valid
1.0ms	6×	body	2560	valid
1.0ms	12×	body	320	valid
1.0ms	13×	body	160	valid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	21	7
1	72	4
2	237	2
3	1398	2
4	5002	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))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

7.0ms

(* y (- x z))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* y (- x z))

simplify93.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	190	356
1	748	220
2	3365	190
3	5001	166

prune43.0ms

Filtered

49 candidates to 20 candidates (40.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0b

Counts

51 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x z))
0.3b	(pow (* y (- x z)) 3)
36.8b	(cbrt (pow (* y (- x z)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`expm1-log1p-u` `pow-unpow` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 93

Calls

3 calls:

7.0ms	(* y (- x z))
6.0ms	(pow (* y (- x z)) 3)
3.0ms	(cbrt (pow (* y (- x z)) 3))

series146.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (- x z))
57.0ms	(pow (* y (- x z)) 3)
55.0ms	(cbrt (pow (* y (- x z)) 3))

simplify59.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	351	578
1	1681	440
2	5001	439

prune140.0ms

Filtered

102 candidates to 58 candidates (56.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(+ (* z z) (* x z))
2.2b	(- (pow x 3) (pow z 3))
6.5b	(* y (- (pow x 3) (pow z 3)))
34.8b	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

432×	`prod-diff`
277×	`add-sqr-sqrt`
247×	`*-un-lft-identity`
243×	`unpow-prod-down` `cube-prod`
227×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
89×	`sqr-pow`
73×	`cube-mult` `unpow3`
32×	`difference-of-squares`
25×	`associate-r`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 570

Calls

4 calls:

4.0ms	(+ (* z z) (* x z))
15.0ms	(- (pow x 3) (pow z 3))
31.0ms	(* y (- (pow x 3) (pow z 3)))
34.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

series307.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* z z) (* x z))
49.0ms	(- (pow x 3) (pow z 3))
100.0ms	(* y (- (pow x 3) (pow z 3)))
133.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* x x) (+ (* z z) (* x z))))

simplify220.0ms

Algorithm

egg-herbie

Counts

582 → 582

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	965	6484
1	4186	4480
2	5001	4470

prune318.0ms

Filtered

582 candidates to 99 candidates (17.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	582	0	582
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	582	3	585

Merged error: 0b

Counts

585 → 3

regimes48.0ms

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

sample705.0ms

Algorithm

intervals

Results

192.0ms	6983×	body	80	valid
120.0ms	928×	body	1280	valid
98.0ms	937×	body	640	valid
51.0ms	582×	body	320	valid
29.0ms	189×	body	2560	valid
19.0ms	361×	body	160	valid