Details

sample44.0ms

Algorithm

intervals

Results

25.0ms

673×

body

valid

simplify55.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

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:

7.0ms	(+ (* a a) (* b b))
17.0ms	(* 4.0 (* b b))
54.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series206.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* a a) (* b b))
28.0ms	(* 4.0 (* b b))
56.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
97.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune155.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
1.4b	(* (pow a 2) (pow b 2))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-log-exp`
16×	`unswap-sqr`
15×	`add-exp-log`
14×	`unpow-prod-down` `*-un-lft-identity`
10×	`unpow2` `sqr-pow`
9×	`prod-exp`
8×	`associate-r` `associate-l`
7×	`add-cube-cbrt`
6×	`pow-to-exp` `pow-exp` `sum-log`
5×	`add-cbrt-cube`
3×	`pow1` `diff-log`
2×	`distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`

Counts

3 → 83

Calls

3 calls:

236.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
33.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
20.0ms	(* (pow a 2) (pow b 2))

series129.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
45.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
33.0ms	(* (pow a 2) (pow b 2))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	334	682
1	1417	617
2	5001	605

prune199.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
1.4b	(* (pow a 2) (pow b 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

16.0ms	(* 4.0 (* b b))
53.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
17.0ms	(* (pow a 2) (pow b 2))

series114.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 4.0 (* b b))
55.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
32.0ms	(* (pow a 2) (pow b 2))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	343	527
1	1495	442
2	5001	435

prune175.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes104.0ms

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

sample1.2s

Algorithm

intervals

Results

777.0ms

20628×

body

valid