Details

sample60.0ms

Algorithm

intervals

Results

38.0ms

666×

body

valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.1b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

83.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
30.0ms	(* (* a a) (+ 1.0 a))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)
29.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
56.0ms	(* (* a a) (+ 1.0 a))
109.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify103.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	658	794
1	3720	707
2	5001	707

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (* b b) (- 1.0 (* 3.0 a)))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

27.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series531.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	266	651
1	1020	585
2	5001	579

prune347.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series637.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (23.0ms)

Iter	Nodes	Cost
0	102	632
1	220	588
2	765	580
3	3241	572
4	5001	572

prune383.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
9.1b	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
10.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series640.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
163.0ms	(cbrt (pow (sqrt (+ (* a a) (* b b))) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify136.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	172	764
1	365	712
2	1183	704
3	4879	694
4	5001	694

prune401.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

0% (0.1b 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	27	15
1	27	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20539×

body

valid