Details

sample42.0ms

Algorithm

intervals

Results

26.0ms

676×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	8
1	41	8
2	67	8
3	119	8
4	309	8
5	1494	8
6	5001	8

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

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)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(+ (* a a) (* b b))
7.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)

series237.0ms

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)))
25.0ms	(* 4.0 (* b b))
114.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	413
1	1353	379
2	5001	379

prune151.0ms

Filtered

70 candidates to 49 candidates (70.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	4	71

Merged error: 0.0b

Counts

71 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b	(* 2 (* (pow a 2) (pow b 2)))
2.8b	(* (pow a 2) (pow b 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
28×	`prod-exp`
25×	`add-sqr-sqrt`
16×	`unswap-sqr`
14×	`unpow-prod-down`
12×	`pow-to-exp` `pow-exp`
11×	`-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
10×	`unpow2` `sqr-pow`
9×	`add-cube-cbrt` `associate-r`
6×	`pow1`
4×	`sum-log` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`
1×	`associate-+r+` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

8.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
5.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
7.0ms	(* 2 (* (pow a 2) (pow b 2)))
8.0ms	(* (pow a 2) (pow b 2))

series183.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
51.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
42.0ms	(* 2 (* (pow a 2) (pow b 2)))
32.0ms	(* (pow a 2) (pow b 2))

simplify60.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	375	699
1	1613	622
2	5001	616

prune209.0ms

Filtered

113 candidates to 60 candidates (53.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.3b	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
0.3b	(pow (+ (* a a) (* b b)) 3)
23.7b	(cbrt (pow (+ (* a a) (* b b)) 3))

rewrite25.0ms

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×	`cube-div` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-pow` `unpow3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-to-exp` `cbrt-div` `flip3-+` `pow1/3` `pow-exp` `flip-+`
1×	`associate-r` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
7.0ms	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
5.0ms	(pow (+ (* a a) (* b b)) 3)
5.0ms	(cbrt (pow (+ (* a a) (* b b)) 3))

series237.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 4.0 (* b b))
118.0ms	(pow (cbrt (pow (+ (* a a) (* b b)) 3)) 2.0)
63.0ms	(pow (+ (* a a) (* b b)) 3)
32.0ms	(cbrt (pow (+ (* a a) (* b b)) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	394	731
1	1722	678
2	5001	644

prune377.0ms

Filtered

109 candidates to 59 candidates (54.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	4	113

Merged error: 0.0b

Counts

113 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* b b))
0.0b	(* 2.0 (* (pow a 2) (pow b 2)))
0.0b	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
2.8b	(* (pow a 2) (pow b 2))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
31×	`prod-exp`
27×	`add-sqr-sqrt`
17×	`unswap-sqr`
16×	`add-cbrt-cube`
14×	`unpow-prod-down` `associate-l`
12×	`pow-to-exp` `pow-exp`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `unpow2` `sqr-pow`
9×	`add-log-exp`
7×	`cbrt-unprod`
5×	`pow-prod-down`
3×	`sum-log` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* 4.0 (* b b))
8.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
8.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
7.0ms	(* (pow a 2) (pow b 2))

series156.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 4.0 (* b b))
38.0ms	(* 2.0 (* (pow a 2) (pow b 2)))
59.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
35.0ms	(* (pow a 2) (pow b 2))

simplify62.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	400	683
1	1741	575
2	5002	568

prune190.0ms

Filtered

120 candidates to 61 candidates (50.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0.0b

Counts

124 → 4

regimes153.0ms

Accuracy

82% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

774.0ms

20103×

body

valid