Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

398×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	57	4
3	63	4
4	63	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

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) z))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

5.0ms

(- (* x x) (* (* y 4.0) z))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(- (* x x) (* (* y 4.0) z))

simplify61.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	103
1	400	93
2	1856	93
3	5002	93

prune30.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) z))
0.3b	(* (* (* y 4.0) z) (* (* y 4.0) z))
1.1b	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
28.1b	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
66×	`pow-prod-down`
42×	`add-exp-log` `add-cbrt-cube`
27×	`prod-exp` `cbrt-unprod`
23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
10×	`add-log-exp`
9×	`pow-sqr` `pow-prod-up`
5×	`distribute-lft-out`
4×	`flip3-+` `flip-+` `associate-/l*`
3×	`pow-plus` `associate-/r*` `sum-log`
2×	`+-commutative` `neg-sub0` `associate-+l-` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 121

Calls

4 calls:

4.0ms	(+ (* x x) (* (* y 4.0) z))
11.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
7.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* x x) (* (* y 4.0) z))
33.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
109.0ms	(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
97.0ms	(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	459	1287
1	2449	1076
2	5002	1052

prune175.0ms

Filtered

133 candidates to 63 candidates (47.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Merged error: 0b

Counts

136 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x)))
1.6b	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2)))
2.0b	(- (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
36.7b	(/ (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`difference-of-squares`
39×	`times-frac`
33×	`*-un-lft-identity`
30×	`sqr-pow`
23×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1` `associate-/l*`
10×	`unpow-prod-down` `cube-prod`
8×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`difference-cubes` `distribute-lft-out--`
3×	`flip3-+` `associate-r` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `associate-l` `clear-num` `sum-log` `*-commutative` `div-inv`

Counts

4 → 132

Calls

4 calls:

13.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x)))
12.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2)))
7.0ms	(- (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
23.0ms	(/ (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x)))
70.0ms	(* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2)))
107.0ms	(- (pow (* x x) 3) (pow (* (* y 4.0) z) 3))
132.0ms	(/ (- (pow (* x x) 3) (pow (* (* y 4.0) z) 3)) (+ (* (* (* y 4.0) z) (+ (* (* y 4.0) z) (pow x 2))) (* (* x x) (* x x))))

simplify137.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	666	2970
1	3681	2744
2	5001	2743

prune402.0ms

Filtered

144 candidates to 105 candidates (72.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Merged error: 0b

Counts

147 → 3

regimes124.0ms

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	10	4
1	10	4

end0.0ms

sample549.0ms

Algorithm

intervals

Results

285.0ms

12246×

body

valid