Details

sample261.0ms

Algorithm

intervals

Results

7.0ms

348×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	29	3
3	41	3
4	44	3
5	44	3

prune3.0ms

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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) y)
0.2b	(* 0.5 (- (* x x) y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-sqr-sqrt`
135×	`prod-diff`
107×	`*-un-lft-identity`
99×	`add-cube-cbrt`
47×	`distribute-rgt-in` `distribute-lft-in`
40×	`associate-r`
35×	`associate-l`
32×	`swap-sqr`
15×	`fma-neg`
13×	`*-commutative` `unswap-sqr`
10×	`difference-of-squares`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
3×	`sub-neg`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod`

Counts

2 → 204

Calls

2 calls:

11.0ms	(- (* x x) y)
19.0ms	(* 0.5 (- (* x x) y))

series62.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(- (* x x) y)
40.0ms	(* 0.5 (- (* x x) y))

simplify56.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	393	2114
1	1429	1185
2	5001	992

prune134.0ms

Filtered

210 candidates to 54 candidates (25.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	2	211

Merged error: 0b

Counts

211 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 0.5 (fma (* x 1) x (- y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

4.0ms

(* 0.5 (fma (* x 1) x (- y)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* 0.5 (fma (* x 1) x (- y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	95	141
1	394	120
2	1716	116
3	5002	116

prune50.0ms

Filtered

25 candidates to 19 candidates (76.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-l`
22×	`fma-def` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`distribute-lft-out`
10×	`associate-r`
8×	`add-cube-cbrt`
4×	`unswap-sqr`
3×	`add-log-exp`
2×	`*-commutative` `distribute-rgt-neg-out`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`

Counts

1 → 48

Calls

1 calls:

30.0ms

(+ (* (* 0.5 x) x) (* 0.5 (- y)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ (* (* 0.5 x) x) (* 0.5 (- y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	150	158
1	625	133
2	3197	125
3	5001	123

prune91.0ms

Filtered

51 candidates to 38 candidates (74.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	51	2	53

Merged error: 0b

Counts

53 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample355.0ms

Algorithm

intervals

Results

194.0ms

10611×

body

valid