Details

sample64.0ms

Algorithm

intervals

Results

49.0ms

620×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)

rewrite38.0ms

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:

3.0ms	(+ (* a a) (* b b))
24.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series222.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* a a) (* b b))
62.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
29.0ms	(* 4.0 (* b b))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune163.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

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	(* 2 (* (pow a 2) (pow b 2)))
0.0b	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
2.9b	(* (pow a 2) (pow b 2))

rewrite50.0ms

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:

19.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
13.0ms	(* 2 (* (pow a 2) (pow b 2)))
6.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
9.0ms	(* (pow a 2) (pow b 2))

series177.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
36.0ms	(* 2 (* (pow a 2) (pow b 2)))
55.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
32.0ms	(* (pow a 2) (pow b 2))

simplify54.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	375	699
1	1611	622
2	5002	616

prune243.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow b 4) (* 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)))
0.0b	(* 4.0 (* b b))
2.9b	(* (pow a 2) (pow b 2))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

6.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
26.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
6.0ms	(* 4.0 (* b b))
9.0ms	(* (pow a 2) (pow b 2))

series173.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2))))
64.0ms	(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
24.0ms	(* 4.0 (* b b))
35.0ms	(* (pow a 2) (pow b 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	398	648
1	1813	559
2	5001	551

prune234.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.9b	(* (pow a 2) (pow b 2))
2.9b	(* (pow a 2) (pow b 2))
18.6b	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))
18.6b	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
32×	`unswap-sqr`
28×	`add-exp-log` `unpow-prod-down`
20×	`unpow2` `sqr-pow`
18×	`prod-exp`
16×	`associate-r` `associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-to-exp` `pow-exp`
8×	`add-cbrt-cube`
6×	`pow1` `sqrt-prod`
4×	`sqrt-div` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 132

Calls

4 calls:

12.0ms	(* (pow a 2) (pow b 2))
9.0ms	(* (pow a 2) (pow b 2))
7.0ms	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))
7.0ms	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (pow a 2) (pow b 2))
31.0ms	(* (pow a 2) (pow b 2))
68.0ms	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))
63.0ms	(sqrt (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	252	818
1	1016	712
2	5002	690

prune400.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.6s

20512×

body

valid