Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

287×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(* x (- y 1.0))
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series58.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* x (- y 1.0))
25.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify72.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2660	196
3	5003	196

prune74.0ms

Filtered

48 candidates to 29 candidates (60.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0b

Counts

49 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
5.3b	(* x (- (* y y) (* 1.0 1.0)))
9.2b	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

10.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
6.0ms	(* x (- (* y y) (* 1.0 1.0)))
12.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

series204.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* y 0.5))
62.0ms	(* x (- (* y y) (* 1.0 1.0)))
89.0ms	(/ (* x (- (* y y) (* 1.0 1.0))) (+ y 1.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	368	564
1	1721	488
2	5001	484

prune144.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Merged error: 0b

Counts

76 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- y 1.0))
0.0b	(- (/ x (/ 1 (- y 1.0))) (* y 0.5))
0.2b	(/ x (/ 1 (- y 1.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow`

Counts

3 → 157

Calls

3 calls:

5.0ms	(/ 1 (- y 1.0))
23.0ms	(- (/ x (/ 1 (- y 1.0))) (* y 0.5))
9.0ms	(/ x (/ 1 (- y 1.0)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1 (- y 1.0))
29.0ms	(- (/ x (/ 1 (- y 1.0))) (* y 0.5))
31.0ms	(/ x (/ 1 (- y 1.0)))

simplify67.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	564	1163
1	2639	1025
2	5001	883

prune219.0ms

Filtered

166 candidates to 80 candidates (48.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	166	3	169

Merged error: 0b

Counts

169 → 3

regimes54.0ms

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	13	5
1	13	5

end0.0ms

sample338.0ms

Algorithm

intervals

Results

203.0ms	9162×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid