Details

sample49.0ms

Algorithm

intervals

Results

27.0ms

620×

body

valid

simplify65.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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)

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:

5.0ms	(* 4.0 (* b b))
6.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
3.0ms	(+ (* a a) (* b b))
9.0ms	(pow (+ (* a a) (* b b)) 2.0)

series286.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* 4.0 (* b b))
82.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
41.0ms	(+ (* a a) (* b b))
130.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

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

prune282.0ms

Filtered

70 candidates to 49 candidates (30.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
1.6b	(* (pow a 2) (pow b 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

7.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
4.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
9.0ms	(* 2 (* (pow a 2) (pow b 2)))
7.0ms	(* (pow a 2) (pow b 2))

series230.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
69.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
51.0ms	(* 2 (* (pow a 2) (pow b 2)))
43.0ms	(* (pow a 2) (pow b 2))

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	375	699
1	1613	621
2	5001	616

prune494.0ms

Filtered

113 candidates to 60 candidates (46.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
0.0b	(* 4.0 (* b b))
1.6b	(* (pow a 2) (pow b 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
17×	`unswap-sqr`
16×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 108

Calls

4 calls:

10.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
7.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
8.0ms	(* 4.0 (* b b))
7.0ms	(* (pow a 2) (pow b 2))

series204.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
47.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
38.0ms	(* 4.0 (* b b))
39.0ms	(* (pow a 2) (pow b 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	400	683
1	1741	575
2	5002	568

prune491.0ms

Filtered

120 candidates to 61 candidates (49.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes260.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

949.0ms

20249×

body

valid

Details

sample49.0ms

simplify65.0ms

prune4.0ms

localize10.0ms

rewrite25.0ms

series286.0ms

simplify45.0ms

prune282.0ms

localize16.0ms

rewrite31.0ms

series230.0ms

simplify63.0ms

prune494.0ms

localize14.0ms

rewrite36.0ms

series204.0ms

simplify66.0ms

prune491.0ms

regimes260.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling