Details

sample50.0ms

Algorithm

intervals

Results

30.0ms

603×

body

valid

simplify96.0ms

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

localize20.0ms

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

rewrite152.0ms

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:

81.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
32.0ms	(* (* a a) (+ 1.0 a))
26.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series271.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
51.0ms	(* (* a a) (+ 1.0 a))
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (20.0ms)

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

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (+ 1.0 a))
0.1b	(cbrt (+ 1.0 a))
0.1b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `add-cbrt-cube`
8×	`cbrt-prod`
4×	`cbrt-div` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `pow1/3` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `flip3--` `pow-pow` `associate-l` `pow-exp` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

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

series315.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(cbrt (+ 1.0 a))
79.0ms	(cbrt (+ 1.0 a))
51.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	539
1	1616	487
2	5001	483

prune298.0ms

Pruning

4 alts after pruning (3 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)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite105.0ms

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:

72.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series629.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify100.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (87.0ms)

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

prune460.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.8b	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
16×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
10×	`sqrt-prod`
5×	`pow1` `sqr-pow`
4×	`add-exp-log` `rem-sqrt-square` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1`
1×	`pow1/2`

Counts

4 → 69

Calls

4 calls:

16.0ms	(sqrt (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))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series625.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(sqrt (cbrt (pow (+ (* a a) (* b b)) 2.0)))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify153.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	150	683
1	335	644
2	1122	638
3	4925	628
4	5001	628

prune396.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	22
1	31	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s

20441×

body

valid