Details

sample90.0ms

Algorithm

intervals

Results

71.0ms

620×

body

valid

simplify93.0ms

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: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

38.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
13.0ms	(* (* a a) (+ 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
48.0ms	(* (* a a) (+ 1.0 a))
101.0ms	(pow (+ (* a a) (* b b)) 2.0)
52.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify102.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	658	794
1	3720	707
2	5001	707

prune308.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1.0 (* 3.0 a)))
11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

12.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
94.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))
91.0ms	(cbrt (+ (* a a) (* b b)))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	277	537
1	1234	483
2	5001	474

prune342.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

11.1b	(sqrt (+ (* a a) (* b b)))
11.1b	(sqrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `cbrt-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow1/3`

Counts

4 → 56

Calls

4 calls:

3.0ms	(sqrt (+ (* a a) (* b b)))
3.0ms	(sqrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt (+ (* a a) (* b b)))
41.0ms	(sqrt (+ (* a a) (* b b)))
93.0ms	(cbrt (+ (* a a) (* b b)))
93.0ms	(cbrt (+ (* a a) (* b b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	141	444
1	440	420
2	1469	416
3	5002	414

prune415.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))
11.8b	(cbrt (+ (* a a) (* b b)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))
2.0ms	(cbrt (+ (* a a) (* b b)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))
94.0ms	(cbrt (+ (* a a) (* b b)))
97.0ms	(cbrt (+ (* a a) (* b b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	123	488
1	408	452
2	1386	444
3	5001	444

prune385.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.1b 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	15
1	27	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.3s

20512×

body

valid