Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify7.0ms

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

prune2.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (/ x 2.0) (* y x))
9.0ms	(+ (+ (/ x 2.0) (* y x)) z)

series73.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (/ x 2.0) (* y x))
33.0ms	(+ (+ (/ x 2.0) (* y x)) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	163	180
1	542	168
2	1917	162
3	5001	160

prune58.0ms

Filtered

31 candidates to 22 candidates (71.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

8.0ms	(+ (/ x 2.0) (+ z (* x y)))
3.0ms	(+ z (* x y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (/ x 2.0) (+ z (* x y)))
28.0ms	(+ z (* x y))

simplify70.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	200	192
1	678	182
2	2483	176
3	5001	176

prune59.0ms

Filtered

33 candidates to 24 candidates (72.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Merged error: 0.0b

Counts

36 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* x (+ y 0.5))
29.0ms	(+ (* x (+ y 0.5)) z)

simplify94.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	195	166
1	755	151
2	3668	149
3	5001	149

prune65.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0b

Counts

45 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ y 0.5))
0.3b	(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)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`cbrt-prod` `*-un-lft-identity`
35×	`flip3-+` `flip-+`
34×	`associate-*r/`
32×	`frac-times`
24×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `associate-*l/`
15×	`add-exp-log`
14×	`associate-r`
9×	`swap-sqr` `distribute-lft-out`
8×	`pow1/3` `associate-l` `pow-prod-down` `add-cbrt-cube`
7×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 132

Calls

4 calls:

3.0ms	(cbrt (+ y 0.5))
3.0ms	(cbrt (+ y 0.5))
18.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
10.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ y 0.5))
90.0ms	(cbrt (+ y 0.5))
33.0ms	(* (* x (* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))) (cbrt (+ y 0.5)))
107.0ms	(* (cbrt (+ y 0.5)) (cbrt (+ y 0.5)))

simplify77.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	602	1492
1	2287	1357
2	5002	1259

prune291.0ms

Filtered

144 candidates to 85 candidates (59.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	144	4	148

Merged error: 0b

Counts

148 → 4

regimes57.0ms

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	11	4
1	11	4

end0.0ms

sample406.0ms

Algorithm

intervals

Results

215.0ms	9145×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid