Details

sample13.0ms

Algorithm

intervals

Results

5.0ms	232×	body	80	valid
1.0ms	11×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(+ x (/ (- x y) 2.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune36.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
11.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.6s

Counts

4 → 12

Calls

4 calls:

397.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
415.0ms	(cbrt (+ x (/ (- x y) 2.0)))
417.0ms	(cbrt (+ x (/ (- x y) 2.0)))
401.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5002	940

prune268.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
20×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
8×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
15.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series1.9s

Counts

4 → 12

Calls

4 calls:

421.0ms	(cbrt (+ x (/ (- x y) 2.0)))
420.0ms	(cbrt (+ x (/ (- x y) 2.0)))
424.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
629.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify107.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	355	766
1	979	722
2	3454	690
3	5003	671

prune279.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
22×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-div`
10×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
11.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series1.9s

Counts

4 → 12

Calls

4 calls:

422.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
424.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
426.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
620.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify84.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	312	899
1	843	858
2	2896	820
3	5001	782

prune271.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample327.0ms

Algorithm

intervals

Results

150.0ms	7385×	body	80	valid
21.0ms	246×	body	1280	valid
11.0ms	157×	body	640	valid
9.0ms	85×	body	2560	valid
8.0ms	86×	body	320	valid
2.0ms	45×	body	160	valid