Details

sample59.0ms

Algorithm

intervals

Results

31.0ms

689×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5098	17

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.4b	(pow (+ (* a a) (* b b)) 2.0)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `sum-log` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

4.0ms	(+ (* a a) (* b b))
8.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series48.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* a a) (* b b))
15.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
24.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4946	782
1	4946	782

prune114.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	2	71

Merged error: 0.0b

Counts

71 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow b 4)
0.7b	(* a (* a (* b (* b 2))))
1.1b	(* a (* b (* b 2)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
26×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
3×	`unpow-prod-down` `pow-unpow` `add-log-exp`
2×	`associate-r` `*-commutative`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 62

Calls

3 calls:

2.0ms	(pow b 4)
11.0ms	(* a (* a (* b (* b 2))))
8.0ms	(* a (* b (* b 2)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(pow b 4)
8.0ms	(* a (* a (* b (* b 2))))
8.0ms	(* a (* b (* b 2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4929	501
1	4929	501

prune77.0ms

Filtered

33 candidates to 71 candidates (-115.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	71	2	73

Merged error: 0.0b

Counts

73 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(+ (+ (* a (* a (* 2.0 (pow b 2.0)))) (pow b (* 2.0 2))) (* 4.0 (* b b)))
0.7b	(* a (* a (* 2.0 (pow b 2.0))))
1.1b	(* a (* 2.0 (pow b 2.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`prod-exp`
16×	`pow1`
12×	`cbrt-unprod`
9×	`associate-l` `add-log-exp`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
3×	`associate-r` `sum-log` `*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* 4.0 (* b b))
12.0ms	(+ (+ (* a (* a (* 2.0 (pow b 2.0)))) (pow b (* 2.0 2))) (* 4.0 (* b b)))
9.0ms	(* a (* a (* 2.0 (pow b 2.0))))
9.0ms	(* a (* 2.0 (pow b 2.0)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 4.0 (* b b))
41.0ms	(+ (+ (* a (* a (* 2.0 (pow b 2.0)))) (pow b (* 2.0 2))) (* 4.0 (* b b)))
38.0ms	(* a (* a (* 2.0 (pow b 2.0))))
35.0ms	(* a (* 2.0 (pow b 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4913	967
1	4913	967

prune135.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

regimes71.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	19
1	20	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

967.0ms

20932×

body

valid

Details

sample59.0ms

simplify71.0ms

prune6.0ms

localize11.0ms

rewrite25.0ms

series48.0ms

simplify44.0ms

prune114.0ms

localize15.0ms

rewrite24.0ms

series20.0ms

simplify42.0ms

prune77.0ms

localize15.0ms

rewrite38.0ms

series119.0ms

simplify60.0ms

prune135.0ms

regimes71.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

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