Details

sample48.0ms

Algorithm

intervals

Results

32.0ms

712×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(+ (* a a) (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite21.0ms

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:

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

series217.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 4.0 (* b b))
65.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(+ (* a a) (* b b))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	413
1	1353	379
2	5001	379

prune169.0ms

Filtered

70 candidates to 49 candidates (70.0%)

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

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.3b	(* (pow a 2) (pow b 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
28×	`prod-exp`
23×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`associate-l`
10×	`unpow2` `sqr-pow`
9×	`associate-r` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-unprod`
2×	`pow-prod-down` `*-commutative` `add-log-exp`

Counts

2 → 76

Calls

2 calls:

10.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series65.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* 2 (* (pow a 2) (pow b 2)))
31.0ms	(* (pow a 2) (pow b 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	229	393
1	907	329
2	5002	318

prune112.0ms

Filtered

82 candidates to 37 candidates (45.1%)

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
1.3b	(* (pow a 2) (pow b 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
31×	`prod-exp`
26×	`add-sqr-sqrt`
17×	`unswap-sqr`
15×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
10×	`pow1` `associate-r` `unpow2` `sqr-pow`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`*-commutative` `add-log-exp`

Counts

3 → 95

Calls

3 calls:

5.0ms	(* 4.0 (* b b))
7.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
10.0ms	(* (pow a 2) (pow b 2))

series92.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 4.0 (* b b))
34.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
30.0ms	(* (pow a 2) (pow b 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	308	469
1	1229	389
2	5002	378

prune146.0ms

Filtered

104 candidates to 49 candidates (47.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Merged error: 0b

Counts

106 → 2

regimes32.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

950.0ms

20592×

body

valid

Details

sample48.0ms

simplify54.0ms

prune2.0ms

localize10.0ms

rewrite21.0ms

series217.0ms

simplify39.0ms

prune169.0ms

localize13.0ms

rewrite20.0ms

series65.0ms

simplify36.0ms

prune112.0ms

localize14.0ms

rewrite26.0ms

series92.0ms

simplify43.0ms

prune146.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling