Details

sample62.0ms

Algorithm

intervals

Results

41.0ms

742×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	14
1	155	14
2	430	14
3	1195	14
4	2526	14
5	5001	14

prune3.0ms

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (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)
0.4b	(* (* b b) (+ 3.0 a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

8.0ms	(+ (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))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series292.0ms

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)))))
49.0ms	(* (* a a) (- 1.0 a))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
35.0ms	(* (* b b) (+ 3.0 a))

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	506	651
1	2520	583
2	5001	583

prune207.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	5	94

Merged error: 0.0b

Counts

94 → 5

localize13.0ms

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)))
2.5b	(* (pow a 2) (pow b 2))

rewrite34.0ms

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))))
8.0ms	(* 2 (* (pow a 2) (pow b 2)))
10.0ms	(* (pow a 2) (pow b 2))

series169.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
49.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
38.0ms	(* 2 (* (pow a 2) (pow b 2)))
31.0ms	(* (pow a 2) (pow b 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	375	744
1	1789	623
2	5001	616

prune201.0ms

Filtered

113 candidates to 60 candidates (53.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(* (* b b) (+ 3.0 a))
2.5b	(* (pow a 2) (pow b 2))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`add-exp-log`
20×	`associate-r`
19×	`unswap-sqr`
18×	`associate-*r/` `add-cbrt-cube`
16×	`pow1` `*-un-lft-identity` `prod-exp`
14×	`unpow-prod-down`
13×	`associate-l`
12×	`add-cube-cbrt`
10×	`unpow2` `sqr-pow`
8×	`pow-prod-down` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `*-commutative` `flip-+` `add-log-exp`
3×	`flip3--` `flip--`
2×	`sub-neg`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

13.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
12.0ms	(* (* a a) (- 1.0 a))
8.0ms	(* (* b b) (+ 3.0 a))
8.0ms	(* (pow a 2) (pow b 2))

series180.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
54.0ms	(* (* a a) (- 1.0 a))
32.0ms	(* (* b b) (+ 3.0 a))
32.0ms	(* (pow a 2) (pow b 2))

simplify114.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	704	838
1	3965	716
2	5002	712

prune343.0ms

Filtered

140 candidates to 82 candidates (58.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Merged error: 0.0b

Counts

145 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (+ 3.0 a))
27.4b	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`unpow-prod-down`
20×	`cbrt-prod`
19×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
14×	`cube-prod`
12×	`add-exp-log`
10×	`pow1` `add-cbrt-cube`
7×	`sqr-pow`
6×	`pow-unpow`
5×	`pow-exp`
4×	`associate-r` `add-log-exp`
3×	`pow-to-exp` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cube-mult` `pow-pow` `unpow3` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow1/3` `associate-l` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 103

Calls

4 calls:

6.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
9.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))
6.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

series404.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 3)
104.0ms	(pow (+ (* a a) (* b b)) 2.0)
38.0ms	(* (* b b) (+ 3.0 a))
144.0ms	(cbrt (pow (pow (+ (* a a) (* b b)) 2.0) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	428	772
1	1923	746
2	5003	740

prune255.0ms

Filtered

115 candidates to 66 candidates (57.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	1	2
Picked	0	1	1
Done	1	1	2
Total	115	5	120

Merged error: 0.0b

Counts

120 → 5

regimes111.0ms

Accuracy

0% (2.4b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20373×

body

valid