Details

sample77.0ms

Algorithm

intervals

Results

56.0ms

658×

body

valid

simplify74.0ms

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

prune7.0ms

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

localize19.0ms

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)
0.3b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

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:

7.0ms	(+ (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))

series297.0ms

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)))))
55.0ms	(* (* a a) (- 1.0 a))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify91.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (79.0ms)

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

prune316.0ms

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

localize16.0ms

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)
0.3b	(* (* b b) (+ 3.0 a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`distribute-rgt-in` `distribute-lft-in`
36×	`*-un-lft-identity` `prod-diff`
35×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
7×	`fma-def`
6×	`unpow-prod-down` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `flip3-+` `*-commutative` `flip-+` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

8.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a)))))
13.0ms	(* a (* a (- 1.0 a)))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series325.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* a (* a (- 1.0 a))) (* (* b b) (+ 3.0 a)))))
54.0ms	(* a (* a (- 1.0 a)))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify119.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	651	1289
1	3288	945
2	5002	940

prune279.0ms

Filtered

145 candidates to 76 candidates (52.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	145	7	152

Merged error: 0.0b

Counts

152 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
0.0b	(* 2 (pow a 2))
0.1b	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
1.0b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`add-exp-log` `prod-diff`
8×	`associate-r`
6×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `associate-l` `prod-exp` `fma-udef`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

4.0ms	(- (fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
5.0ms	(* 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))

series220.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
28.0ms	(* 2 (pow a 2))
58.0ms	(fma (pow a 3) a (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
73.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	276	764
1	1144	636
2	5001	628

prune288.0ms

Filtered

90 candidates to 61 candidates (67.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
0.0b	(+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
0.0b	(* 2 (pow a 2))
1.0b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`prod-diff`
11×	`add-log-exp`
9×	`add-exp-log`
8×	`associate-r`
7×	`unpow-prod-down` `fma-def`
6×	`add-cbrt-cube` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `unswap-sqr`
3×	`associate-l` `prod-exp` `sqr-pow`
2×	`diff-log` `sum-log` `fma-udef` `distribute-lft-out--` `unpow2`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `pow-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

12.0ms	(- (+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
5.0ms	(+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
6.0ms	(* 2 (pow a 2))
1.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series212.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4))) 1.0)
57.0ms	(+ (pow a 4) (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)))
30.0ms	(* 2 (pow a 2))
68.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify52.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	324	887
1	1364	747
2	5001	746

prune262.0ms

Filtered

108 candidates to 71 candidates (65.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes110.0ms

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	27	14
1	27	14

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.5s

20498×

body

valid