Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

401×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:

3.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify66.0ms

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

prune24.0ms

Filtered

15 candidates to 10 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize12.0ms

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))
3.7b	(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
30.1b	(/ (+ (neg (* (* (* 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	(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms	(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* x x) (* (* y 4.0) z))
33.0ms	(* (* (* y 4.0) z) (* (* y 4.0) z))
102.0ms	(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
97.0ms	(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (67.0ms)

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

prune178.0ms

Filtered

133 candidates to 63 candidates (47.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	133	2	135

Merged error: 0b

Counts

135 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* (* y 4.0) z))
3.7b	(+ (neg (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4))
4.6b	(* (* y 4.0) (* z (* (* y 4.0) z)))
30.1b	(/ (+ (neg (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log` `add-cbrt-cube`
45×	`pow1`
30×	`pow-prod-down` `prod-exp` `cbrt-unprod`
24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-l` `associate-/l*`
3×	`flip3-+` `associate-/r*` `flip-+`
2×	`neg-sub0` `associate-+l-` `associate-r` `sum-log` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-sub` `div-exp` `neg-log` `clear-num` `div-inv`

Counts

4 → 105

Calls

4 calls:

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

series255.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* z (* (* y 4.0) z))
105.0ms	(+ (neg (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4))
35.0ms	(* (* y 4.0) (* z (* (* y 4.0) z)))
95.0ms	(/ (+ (neg (* (* y 4.0) (* z (* (* y 4.0) z)))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	482	1340
1	2684	1103
2	5001	1077

prune185.0ms

Filtered

117 candidates to 64 candidates (54.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

regimes122.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample568.0ms

Algorithm

intervals

Results

330.0ms

12085×

body

valid

Details

sample22.0ms

simplify8.0ms

prune2.0ms

localize6.0ms

rewrite4.0ms

series43.0ms

simplify66.0ms

prune24.0ms

localize12.0ms

rewrite39.0ms

series269.0ms

simplify80.0ms

prune178.0ms

localize13.0ms

rewrite41.0ms

series255.0ms

simplify111.0ms

prune185.0ms

regimes122.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample568.0ms

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