Details

sample57.0ms

Algorithm

intervals

Results

39.0ms

699×

body

valid

simplify82.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	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	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `associate-l` `pow-exp` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

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

series283.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
43.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
105.0ms	(pow (+ (* a a) (* b b)) 2.0)
36.0ms	(* (* b b) (+ 3.0 a))

simplify46.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	335	551
1	1554	479
2	5001	471

prune245.0ms

Filtered

77 candidates to 61 candidates (79.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (fma a a (* b b)) 2.0) 1.0))
0.1b	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b	(pow (fma a a (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/` `fma-udef`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `flip3-+` `associate-l` `pow-exp` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (fma a a (* b b)) 2.0) 1.0))
4.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
2.0ms	(pow (fma a a (* b b)) 2.0)
7.0ms	(* (* b b) (+ 3.0 a))

series283.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(fma 4.0 (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) (- (pow (fma a a (* b b)) 2.0) 1.0))
48.0ms	(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
107.0ms	(pow (fma a a (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	333	517
1	1544	451
2	5001	444

prune242.0ms

Filtered

77 candidates to 57 candidates (74.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (+ 3.0 a))
20.4b	(cbrt (pow (fma a a (* b b)) 2.0))
20.4b	(cbrt (pow (fma a a (* b b)) 2.0))
20.4b	(cbrt (pow (fma a a (* b b)) 2.0))

rewrite15.0ms

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:

7.0ms	(* (* b b) (+ 3.0 a))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
2.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

series494.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* b b) (+ 3.0 a))
155.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
151.0ms	(cbrt (pow (fma a a (* b b)) 2.0))
156.0ms	(cbrt (pow (fma a a (* b b)) 2.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	268	564
1	1128	513
2	5001	507

prune359.0ms

Filtered

89 candidates to 72 candidates (80.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (fma a a (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))
0.4b	(* (* b b) (+ 3.0 a))
0.4b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
15×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-r`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

2.0ms	(pow (fma a a (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(* (* b b) (+ 3.0 a))
12.0ms	(* (* b b) (+ 3.0 a))

series209.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(pow (fma a a (* b b)) 2.0)
37.0ms	(* (* b b) (+ 3.0 a))
31.0ms	(* (* b b) (+ 3.0 a))
33.0ms	(* (* b b) (+ 3.0 a))

simplify43.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	257	502
1	1245	434
2	5002	430

prune416.0ms

Filtered

109 candidates to 71 candidates (65.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

regimes95.0ms

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	18	11
1	18	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20696×

body

valid