Details

sample47.0ms

Algorithm

intervals

Results

30.0ms

624×

body

valid

simplify66.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.2b	(* (* b b) (+ 3.0 a))

rewrite45.0ms

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:

11.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
14.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series239.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))
49.0ms	(* (* a a) (- 1.0 a))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
36.0ms	(* (* b b) (+ 3.0 a))

simplify90.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (15.0ms)

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

prune276.0ms

Filtered

101 candidates to 69 candidates (68.3%)

Pruning

7 alts after pruning (6 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))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite27.0ms

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:

14.0ms	(* (* 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))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series478.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
149.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify36.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (28.0ms)

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

prune330.0ms

Filtered

81 candidates to 64 candidates (79.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite17.0ms

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))

series633.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
147.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify104.0ms

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

prune418.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite21.0ms

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))
8.0ms	(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:

152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
166.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify97.0ms

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

prune433.0ms

Filtered

72 candidates to 60 candidates (83.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes282.0ms

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	25	14
1	25	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20551×

body

valid