Details

sample50.0ms

Algorithm

intervals

Results

33.0ms

628×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 3.0 a))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 a))
7.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- 1.0 (* 3.0 a))
48.0ms	(* (* a a) (+ 1.0 a))
107.0ms	(pow (+ (* a a) (* b b)) 2.0)
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	408	475
1	1999	415
2	5002	415

prune239.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.0b	(+ (* (* a a) 1.0) (pow a 3))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite33.0ms

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×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `distribute-lft-in` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sub-neg` `associate-+r+` `flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`pow-to-exp` `flip3--` `pow-pow` `unpow3` `associate-l` `pow-exp` `*-commutative` `flip--` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

12.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
7.0ms	(+ (* (* a a) 1.0) (pow a 3))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (+ (* (* a a) 1.0) (pow a 3)) (* (* b b) (- 1.0 (* 3.0 a))))))
79.0ms	(+ (* (* a a) 1.0) (pow a 3))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	457	701
1	2156	621
2	5001	618

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

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

series172.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
51.0ms	(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
35.0ms	(* 2 (* (pow a 2) (pow b 2)))
35.0ms	(* (pow a 2) (pow b 2))

simplify56.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (47.0ms)

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

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 3.0 a))
0.1b	(* (* a a) (+ 1.0 a))
0.5b	(* (* b b) (- 1.0 (* 3.0 a)))
1.8b	(* (pow a 2) (pow b 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
18×	`unswap-sqr`
16×	`add-cbrt-cube`
15×	`associate-r` `prod-exp`
14×	`pow1` `unpow-prod-down`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `associate-l` `unpow2` `sqr-pow`
7×	`pow-prod-down` `cbrt-unprod`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `*-commutative`
2×	`flip3--` `flip--`
1×	`flip3-+` `diff-log` `flip-+` `distribute-lft-out`

Counts

4 → 112

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 a))
10.0ms	(* (* a a) (+ 1.0 a))
7.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
7.0ms	(* (pow a 2) (pow b 2))

series173.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1.0 (* 3.0 a))
49.0ms	(* (* a a) (+ 1.0 a))
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
32.0ms	(* (pow a 2) (pow b 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	474	593
1	2437	482
2	5003	478

prune334.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

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	29	16
1	29	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s

20319×

body

valid