Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

286×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	20	4
2	22	4
3	22	4

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (/ x 2.0) (* y x)) z)
0.0b	(+ (/ x 2.0) (* y x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`add-log-exp`
8×	`distribute-lft-out`
4×	`sum-log`
3×	`+-commutative`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+`
1×	`*-commutative` `div-inv`

Counts

2 → 31

Calls

2 calls:

17.0ms	(+ (+ (/ x 2.0) (* y x)) z)
13.0ms	(+ (/ x 2.0) (* y x))

series74.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (/ x 2.0) (* y x)) z)
44.0ms	(+ (/ x 2.0) (* y x))

simplify48.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	163	198
1	514	186
2	1765	180
3	5001	178

prune44.0ms

Filtered

37 candidates to 24 candidates (64.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	1	38

Merged error: 0.0b

Counts

38 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ y 0.5)) z)
0.0b	(* x (+ y 0.5))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

10.0ms	(+ (* x (+ y 0.5)) z)
6.0ms	(* x (+ y 0.5))

series65.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* x (+ y 0.5)) z)
36.0ms	(* x (+ y 0.5))

simplify82.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	191	180
1	742	165
2	3541	163
3	5001	163

prune53.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Merged error: 0b

Counts

49 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ y 0.5))
0.2b	(* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
0.4b	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
0.8b	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

170×	`add-sqr-sqrt`
114×	`cbrt-prod`
92×	`associate-r`
84×	`unswap-sqr`
82×	`*-un-lft-identity`
80×	`cbrt-div`
76×	`associate-l`
46×	`add-cbrt-cube`
44×	`associate-*r/`
43×	`cbrt-unprod`
40×	`flip3-+` `flip-+`
36×	`frac-times` `add-cube-cbrt`
35×	`swap-sqr`
25×	`pow1`
20×	`add-exp-log` `distribute-lft-out`
18×	`associate-*l/`
11×	`pow-prod-down`
10×	`prod-exp` `*-commutative`
7×	`pow1/3`
4×	`add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 267

Calls

4 calls:

4.0ms	(cbrt (+ y 0.5))
35.0ms	(* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
47.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
10.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ y 0.5))
135.0ms	(* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5))))
36.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
104.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify120.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	946	3012
1	3948	2586
2	5002	2378

prune393.0ms

Filtered

279 candidates to 152 candidates (54.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	279	2	281

Merged error: 0b

Counts

281 → 2

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample379.0ms

Algorithm

intervals

Results

206.0ms	9103×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid