Details

sample261.0ms

Algorithm

intervals

Results

7.0ms

348×

body

valid

simplify13.0ms

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))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`prod-diff`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

4.0ms	(- (* x x) y)
9.0ms	(* 0.5 (- (* x x) y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* x x) y)
40.0ms	(* 0.5 (- (* x x) y))

simplify140.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	205	300
1	863	232
2	4836	219
3	5001	219

prune92.0ms

Filtered

58 candidates to 38 candidates (65.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0b

Counts

59 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	90	116
1	363	102
2	1697	102
3	5001	102

prune50.0ms

Filtered

25 candidates to 19 candidates (76.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

27 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 0.5 (+ x (sqrt y))) (- x (sqrt y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`distribute-rgt-in` `distribute-lft-in`
19×	`sqrt-prod`
8×	`associate-*r/`
6×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`frac-times`
3×	`flip3--` `flip3-+` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `flip-+`
2×	`sub-neg` `associate-*l/` `difference-of-squares`
1×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`

Counts

1 → 71

Calls

1 calls:

14.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify76.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	502	1245
1	3016	889
2	5002	840

prune83.0ms

Filtered

74 candidates to 29 candidates (39.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	74	2	76

Merged error: 0b

Counts

76 → 2

regimes27.0ms

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	7	3
1	7	3

end0.0ms

sample351.0ms

Algorithm

intervals

Results

190.0ms

10611×

body

valid