Details

sample93.0ms

Algorithm

intervals

Results

71.0ms

723×

body

valid

simplify71.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

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)
0.7b	(* (* b b) (+ 3.0 a))

rewrite59.0ms

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:

24.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
16.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
14.0ms	(* (* b b) (+ 3.0 a))

series57.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
4.0ms	(* (* a a) (- 1.0 a))
22.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

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

prune758.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* (* b b) (+ 3.0 a)))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.7b	(* (* b b) (+ 3.0 a))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log`
23×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
9×	`add-cube-cbrt`
8×	`associate-*r/`
7×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-l`
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 → 95

Calls

4 calls:

26.0ms	(* 4.0 (* (* 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))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* 4.0 (* (* b b) (+ 3.0 a)))
4.0ms	(* (* a a) (- 1.0 a))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
6.0ms	(* (* b b) (+ 3.0 a))

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	493	569
1	2510	481
2	5002	481

prune775.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`flip3-+` `associate-r` `flip-+` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
2.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* b b) (+ 3.0 a))
19.0ms	(cbrt (+ (* a a) (* b b)))
19.0ms	(cbrt (+ (* a a) (* b b)))
19.0ms	(cbrt (+ (* a a) (* b b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	271	484
1	1307	442
2	5002	433

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3.0 a))
8.9b	(cbrt (+ (* a a) (* b b)))
8.9b	(cbrt (+ (* a a) (* b b)))
12.2b	(pow (+ (* a a) (* b b)) 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`pow1` `add-exp-log` `add-sqr-sqrt`
9×	`add-cube-cbrt` `add-cbrt-cube`
6×	`cbrt-prod`
4×	`cbrt-div` `associate-r` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`pow1/3` `associate-*r/`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `distribute-lft-in` `unpow1/3` `associate-l` `pow-exp` `*-commutative` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

14.0ms	(* (* b b) (+ 3.0 a))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(pow (+ (* a a) (* b b)) 1/3)

series62.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* b b) (+ 3.0 a))
19.0ms	(cbrt (+ (* a a) (* b b)))
19.0ms	(cbrt (+ (* a a) (* b b)))
19.0ms	(pow (+ (* a a) (* b b)) 1/3)

simplify47.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	319	469
1	1536	409
2	5001	403

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	27
1	32	27

end0.0ms

sample2.4s

Algorithm

intervals

Results

2.0s

20670×

body

valid