Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	234×	body	80	valid
3.0ms	29×	body	640	valid
2.0ms	18×	body	1280	valid
1.0ms	6×	body	2560	valid
1.0ms	18×	body	160	valid
1.0ms	11×	body	320	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	22	6
1	68	4
2	197	3
3	1232	2
4	5001	2

prune6.0ms

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))

rewrite10.0ms

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:

9.0ms

(* y (- x z))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* y (- x z))

simplify45.0ms

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

prune37.0ms

Filtered

29 candidates to 17 candidates (58.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize7.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `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 → 69

Calls

3 calls:

6.0ms	(* y (- x z))
6.0ms	(pow (* y (- x z)) 3)
2.0ms	(cbrt (pow (* y (- x z)) 3))

series158.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* y (- x z))
54.0ms	(pow (* y (- x z)) 3)
56.0ms	(cbrt (pow (* y (- x z)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	264	309
1	1296	298
2	5002	297

prune117.0ms

Filtered

78 candidates to 50 candidates (64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b	(+ (* z (+ z x)) (pow x 2))
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))) (+ (* z (+ z x)) (pow x 2)))

rewrite61.0ms

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×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `associate-+l+` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

7.0ms	(+ (* z (+ z x)) (pow x 2))
11.0ms	(- (pow x 3) (pow z 3))
17.0ms	(* y (- (pow x 3) (pow z 3)))
21.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* z (+ z x)) (pow x 2)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (* z (+ z x)) (pow x 2))
52.0ms	(- (pow x 3) (pow z 3))
104.0ms	(* y (- (pow x 3) (pow z 3)))
131.0ms	(/ (* y (- (pow x 3) (pow z 3))) (+ (* z (+ z x)) (pow x 2)))

simplify75.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	468	924
1	2446	830
2	5001	830

prune271.0ms

Filtered

130 candidates to 79 candidates (60.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0b

Counts

133 → 3

regimes49.0ms

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

sample748.0ms

Algorithm

intervals

Results

210.0ms	6983×	body	80	valid
128.0ms	896×	body	1280	valid
93.0ms	844×	body	640	valid
43.0ms	503×	body	320	valid
33.0ms	565×	body	160	valid
31.0ms	189×	body	2560	valid