Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

348×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	3

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: 4.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
4.3b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(+ 1.0 (* y y))
5.0ms	(* x (+ 1.0 (* y y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ 1.0 (* y y))
53.0ms	(* x (+ 1.0 (* y y)))

simplify123.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	176	185
1	831	149
2	3617	145
3	5001	144

prune78.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 4.4b

Counts

47 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

4.3b	(* x (fma y y 1.0))

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:

3.0ms

(* x (fma y y 1.0))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* x (fma y y 1.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	87
1	341	75
2	1579	75
3	5001	75

prune33.0ms

Filtered

25 candidates to 15 candidates (60.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 4.4b

Counts

29 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (fma y y 1.0)))
0.1b	(* (* x (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0)))
4.2b	(sqrt (fma y y 1.0))
4.2b	(sqrt (fma y y 1.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (sqrt (fma y y 1.0)))
6.0ms	(* (* x (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0)))
1.0ms	(sqrt (fma y y 1.0))
1.0ms	(sqrt (fma y y 1.0))

series212.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* x (sqrt (fma y y 1.0)))
52.0ms	(* (* x (sqrt (fma y y 1.0))) (sqrt (fma y y 1.0)))
47.0ms	(sqrt (fma y y 1.0))
51.0ms	(sqrt (fma y y 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	232	429
1	1024	381
2	5001	371

prune144.0ms

Filtered

89 candidates to 64 candidates (71.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Merged error: 4.4b

Counts

93 → 4

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 4.4b

Counts

4 → 4

regimes31.0ms

Accuracy

0% (0.2b remaining)

Error of 5.3b against oracle of 5.2b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample330.0ms

Algorithm

intervals

Results

179.0ms

10554×

body

valid