Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	232×	body	80	valid
1.0ms	10×	body	640	valid
1.0ms	8×	body	1280	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	2560	valid

simplify19.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify76.0ms

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

prune30.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite212.0ms

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:

153.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series1.5s

Counts

4 → 12

Calls

4 calls:

365.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
375.0ms	(cbrt (+ x (/ (- x y) 2.0)))
374.0ms	(cbrt (+ x (/ (- x y) 2.0)))
373.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (56.0ms)

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

prune246.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `associate-l/`

Counts

4 → 62

Calls

4 calls:

18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
45.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series1.7s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt (+ x (/ (- x y) 2.0)))
564.0ms	(cbrt (+ x (/ (- x y) 2.0)))
387.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
366.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify108.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	285	860
1	608	810
2	1436	802
3	4733	785
4	5001	782

prune234.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes128.0ms

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	8	4
1	8	4

end0.0ms

sample337.0ms

Algorithm

intervals

Results

129.0ms	7377×	body	80	valid
15.0ms	213×	body	1280	valid
10.0ms	172×	body	640	valid
8.0ms	96×	body	2560	valid
4.0ms	88×	body	320	valid
2.0ms	56×	body	160	valid