Details

sample50.0ms

Algorithm

intervals

Results

32.0ms

654×

body

valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

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	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.0b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.2b	(* (* b b) (+ 3.0 a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`sub-neg` `associate-+l+` `flip3-+` `frac-add` `flip-+`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `flip--`
2×	`associate-+r+` `associate-l` `*-commutative` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow-exp` `sum-log` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

10.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
8.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series243.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
54.0ms	(* (* a a) (- 1.0 a))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (+ 3.0 a))

simplify80.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	559	659
1	2944	602
2	5001	602

prune280.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (* b b) (+ 3.0 a))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series478.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) (+ 3.0 a))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	262	598
1	1088	544
2	5002	538

prune319.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(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))
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))

series602.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
146.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (22.0ms)

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

prune352.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

9.1b	(cbrt (+ (* a a) (* b b)))
14.5b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

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

series710.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ (* a a) (* b b)))
147.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
327.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	260	681
1	811	627
2	2838	619
3	5001	613

prune369.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes260.0ms

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	25	14
1	25	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20313×

body

valid