Details

sample48.0ms

Algorithm

intervals

Results

31.0ms

603×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* 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)
0.4b	(* (* b b) (+ 3.0 a))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
7×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 114

Calls

4 calls:

8.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
9.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series301.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
49.0ms	(* (* a a) (- 1.0 a))
111.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify100.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	646	990
1	3454	779
2	5001	776

prune307.0ms

Filtered

126 candidates to 80 candidates (63.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 a))
0.1b	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
33×	`cbrt-prod`
17×	`pow1`
16×	`add-cube-cbrt`
14×	`cbrt-div`
12×	`add-exp-log` `associate-r`
10×	`swap-sqr`
9×	`associate-l` `add-cbrt-cube`
7×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
5×	`pow-prod-down` `difference-of-squares` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `pow-plus` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

3.0ms	(cbrt (- 1.0 a))
11.0ms	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series343.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt (- 1.0 a))
115.0ms	(* (cbrt (- 1.0 a)) (cbrt (- 1.0 a)))
103.0ms	(pow (+ (* a a) (* b b)) 2.0)
34.0ms	(* (* b b) (+ 3.0 a))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	566	864
1	2324	808
2	5001	761

prune416.0ms

Filtered

132 candidates to 92 candidates (69.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	132	7	139

Merged error: 0.0b

Counts

139 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (+ 3.0 a))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
20.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `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 → 77

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))
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series679.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* b b) (+ 3.0 a))
331.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
162.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	270	642
1	1138	585
2	5001	579

prune305.0ms

Filtered

89 candidates to 72 candidates (80.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2 (pow a 2))
0.1b	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.8b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`add-exp-log` `associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-l` `prod-exp` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 49

Calls

3 calls:

6.0ms	(* 2 (pow a 2))
1.0ms	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
1.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series159.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 2 (pow a 2))
63.0ms	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
67.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify187.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (181.0ms)

Iter	Nodes	Cost
0	175	315
1	770	276
2	4508	274
3	5001	270

prune154.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

regimes109.0ms

Accuracy

0% (0.2b 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	29	21
1	29	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20224×

body

valid