Details

sample41.0ms

Algorithm

intervals

Results

26.0ms

616×

body

valid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (* a a) (* b b))
7.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series168.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* a a) (* b b))
25.0ms	(* 4.0 (* b b))
109.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	249	266
1	1030	241
2	3581	241
3	5002	241

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

36.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series620.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	211	1498
1	681	1419
2	3274	1337
3	5001	1330

prune408.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
10.4b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite19.0ms

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:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series629.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
155.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	156	678
1	373	630
2	1313	614
3	5001	614

prune354.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite18.0ms

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:

4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series623.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify109.0ms

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

prune368.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes299.0ms

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	15	8
1	15	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

789.0ms

20541×

body

valid