Details

sample51.0ms

Algorithm

intervals

Results

30.0ms

647×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4828	17
1	4828	17

prune11.0ms

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: 0.1b

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))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite23.0ms

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))
7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
5.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series46.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* a a) (* b b))
15.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(* 4.0 (* b b))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5434	782

prune101.0ms

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: 0b

Counts

71 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
0.0b	(+ (pow a 4) (* a (* a (* b (* b 2)))))
0.7b	(* a (* a (* b (* b 2))))
0.9b	(* a (* b (* b 2)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-log-exp`
8×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `associate-r` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 70

Calls

4 calls:

8.0ms	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
5.0ms	(+ (pow a 4) (* a (* a (* b (* b 2)))))
9.0ms	(* a (* a (* b (* b 2))))
6.0ms	(* a (* b (* b 2)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (pow b 4) (+ (pow a 4) (* a (* a (* b (* b 2))))))
9.0ms	(+ (pow a 4) (* a (* a (* b (* b 2)))))
8.0ms	(* a (* a (* b (* b 2))))
7.0ms	(* a (* b (* b 2)))

simplify51.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4966	1002
1	4966	1002

prune97.0ms

Filtered

45 candidates to 82 candidates (-82.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow b 2.0))
0.0b	(* 4.0 (* b b))
0.7b	(* a (* a (* 2.0 (pow b 2.0))))
0.9b	(* a (* 2.0 (pow b 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
25×	`prod-exp` `add-cbrt-cube`
16×	`pow1` `add-sqr-sqrt`
13×	`cbrt-unprod`
12×	`associate-l`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `pow-exp`
2×	`sqr-pow`

Counts

4 → 85

Calls

4 calls:

5.0ms	(* 2.0 (pow b 2.0))
7.0ms	(* 4.0 (* b b))
8.0ms	(* a (* a (* 2.0 (pow b 2.0))))
6.0ms	(* a (* 2.0 (pow b 2.0)))

series132.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 2.0 (pow b 2.0))
3.0ms	(* 4.0 (* b b))
35.0ms	(* a (* a (* 2.0 (pow b 2.0))))
32.0ms	(* a (* 2.0 (pow b 2.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4916	774
1	4916	774

prune123.0ms

Filtered

58 candidates to 97 candidates (-67.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Merged error: 0b

Counts

99 → 2

regimes69.0ms

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	30	19
1	30	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

973.0ms

20707×

body

valid

Details

sample51.0ms

simplify74.0ms

prune11.0ms

localize11.0ms

rewrite23.0ms

series46.0ms

simplify33.0ms

prune101.0ms

localize14.0ms

rewrite31.0ms

series35.0ms

simplify51.0ms

prune97.0ms

localize15.0ms

rewrite28.0ms

series132.0ms

simplify43.0ms

prune123.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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