Details

sample50.0ms

Algorithm

intervals

Results

33.0ms

658×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	26	8
1	51	8
2	88	7
3	153	7
4	357	7
5	1572	7
6	5002	7

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(+ (* a a) (* b b))
7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
9.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series232.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* a a) (* b b))
70.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(* 4.0 (* b b))
109.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	339	438
1	1458	396
2	5002	385

prune199.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt` `prod-diff`
16×	`unpow-prod-down`
8×	`add-log-exp`
7×	`fma-neg`
6×	`sqr-pow`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow` `difference-of-squares`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `fma-def` `flip3-+` `diff-log` `pow-exp` `sum-log` `flip--` `flip-+` `fma-udef` `distribute-lft-out--`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
9.0ms	(- (pow (+ (* a a) (* b b)) 2.0) 1.0)
1.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series266.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (* a a) (* b b))
52.0ms	(- (pow (+ (* a a) (* b b)) 2.0) 1.0)
78.0ms	(fma (* 4.0 b) b (- (pow (+ (* a a) (* b b)) 2.0) 1.0))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	362	897
1	1404	668
2	5002	656

prune217.0ms

Filtered

101 candidates to 71 candidates (70.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

8.0ms	(- (+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4)) 1.0)
5.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
6.0ms	(* 2 (pow a 2))
1.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

series209.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4)) 1.0)
56.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
25.0ms	(* 2 (pow a 2))
75.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify60.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	322	886
1	1427	748
2	5001	748

prune246.0ms

Filtered

104 candidates to 67 candidates (64.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow a 2))
0.0b	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
1.0b	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `pow-prod-down`
2×	`*-commutative` `fma-udef` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `flip3-+` `pow-exp` `sum-log` `flip-+`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* 2.0 (pow a 2))
3.0ms	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
5.0ms	(* 4.0 (* b b))
1.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

series194.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 2.0 (pow a 2))
68.0ms	(+ (fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4)) (* 4.0 (* b b)))
25.0ms	(* 4.0 (* b b))
76.0ms	(fma (* 2.0 (pow a 2)) (pow b 2) (pow b 4))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	291	467
1	1199	418
2	5002	407

prune214.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0.0b

Counts

92 → 3

regimes55.0ms

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	14	7
1	14	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

20498×

body

valid