Details

sample88.0ms

Algorithm

intervals

Results

69.0ms

688×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (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)
0.3b	(* (* b b) (+ 3.0 a))

rewrite61.0ms

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:

26.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
14.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series297.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
54.0ms	(* (* a a) (- 1.0 a))
104.0ms	(pow (+ (* a a) (* b b)) 2.0)
34.0ms	(* (* b b) (+ 3.0 a))

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

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

prune239.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* b (+ 3.0 a))
0.1b	(* (* a a) (- 1.0 a))
0.2b	(* b (* b (+ 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(* b (+ 3.0 a))
14.0ms	(* (* a a) (- 1.0 a))
14.0ms	(* b (* b (+ 3.0 a)))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)

series230.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* b (+ 3.0 a))
56.0ms	(* (* a a) (- 1.0 a))
34.0ms	(* b (* b (+ 3.0 a)))
108.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	419	465
1	2074	409
2	5001	409

prune262.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
17.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

38.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
4.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series621.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
152.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
157.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify103.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	211	1498
1	681	1419
2	3274	1337
3	5001	1330

prune474.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

10.3b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
10.3b	(sqrt (pow (+ (* a a) (* b b)) 2.0))
17.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`cbrt-prod` `unpow-prod-down` `sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
6×	`rem-sqrt-square` `sqr-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 68

Calls

4 calls:

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

series611.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(sqrt (pow (+ (* a a) (* b b)) 2.0))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	140	598
1	298	564
2	971	560
3	3919	556
4	5001	556

prune402.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes71.0ms

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	27	14
1	27	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

2.0s

20520×

body

valid