Details

sample40.0ms

Algorithm

intervals

Results

24.0ms

670×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune5.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

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

series219.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
26.0ms	(+ (* a a) (* b b))
24.0ms	(* 4.0 (* b b))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	339	438
1	1458	396
2	5001	385

prune214.0ms

Filtered

86 candidates to 66 candidates (76.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
0.0b	(* 2 (pow a 2))
1.8b	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

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))

series152.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (fma (* 2 (pow a 2)) (pow b 2) (pow b 4)) (pow a 4))
24.0ms	(* 2 (pow a 2))
75.0ms	(fma (* 2 (pow a 2)) (pow b 2) (pow b 4))

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	215	372
1	947	344
2	5002	343

prune194.0ms

Filtered

66 candidates to 46 candidates (69.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Merged error: 0.0b

Counts

68 → 2

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (pow a 2))
3.1b	(* (* 2 (pow a 2)) (pow b 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
24×	`prod-exp`
16×	`associate-r`
13×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
8×	`pow-to-exp` `pow-exp`
7×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`associate-l` `cbrt-unprod` `unswap-sqr`
3×	`unpow2` `sqr-pow`
2×	`pow1` `expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

2 → 62

Calls

2 calls:

6.0ms	(* 2 (pow a 2))
8.0ms	(* (* 2 (pow a 2)) (pow b 2))

series61.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* 2 (pow a 2))
37.0ms	(* (* 2 (pow a 2)) (pow b 2))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	230	293
1	1089	261
2	5002	261

prune142.0ms

Filtered

68 candidates to 37 candidates (54.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	2	70

Merged error: 0.0b

Counts

70 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (fma a a (* b b)) 3)
0.3b	(pow (cbrt (pow (fma a a (* b b)) 3)) 2.0)
26.6b	(cbrt (pow (fma a a (* b b)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod` `unpow-prod-down`
17×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cube-prod`
6×	`pow-unpow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-pow` `unpow3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-to-exp` `pow1/3` `pow-exp`
1×	`associate-r` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

6.0ms	(* 4.0 (* b b))
2.0ms	(pow (fma a a (* b b)) 3)
5.0ms	(pow (cbrt (pow (fma a a (* b b)) 3)) 2.0)
2.0ms	(cbrt (pow (fma a a (* b b)) 3))

series256.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* 4.0 (* b b))
81.0ms	(pow (fma a a (* b b)) 3)
110.0ms	(pow (cbrt (pow (fma a a (* b b)) 3)) 2.0)
34.0ms	(cbrt (pow (fma a a (* b b)) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	322	594
1	1266	515
2	5002	471

prune240.0ms

Filtered

113 candidates to 66 candidates (58.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

regimes43.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

752.0ms

20277×

body

valid