Details

sample12.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ y 500.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

11.0ms

(+ x (/ y 500.0))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (/ y 500.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	84	64
1	222	55
2	536	55
3	1518	55
4	5001	55

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
0.2b	(pow (/ y 500.0) 3)
2.5b	(+ (pow x 3) (pow (/ y 500.0) 3))
46.4b	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
45×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
25×	`distribute-lft-out`
12×	`fma-def`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`add-log-exp`
5×	`pow1` `sum-cubes`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `cube-mult` `flip3-+` `unpow3` `div-exp` `pow-exp` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `cube-div` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `fma-udef`

Counts

4 → 144

Calls

4 calls:

0.0ms	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
7.0ms	(pow (/ y 500.0) 3)
43.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
126.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
39.0ms	(pow (/ y 500.0) 3)
64.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
102.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	489	1355
1	2283	1236
2	5002	1228

prune371.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
34.2b	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
34.2b	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
34.3b	(/ (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)) (* (sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x))) 1))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `div-exp` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `prod-exp`
1×	`frac-2neg` `1-exp` `clear-num` `associate-/r*` `cbrt-unprod` `fma-udef` `div-inv`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
2.0ms	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
2.0ms	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
10.0ms	(/ (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)) (* (sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x))) 1))

series855.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (/ y 500.0) (- (/ y 500.0) x) (* x x))
277.0ms	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
268.0ms	(sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)))
268.0ms	(/ (fma (/ y 500.0) (- (/ y 500.0) x) (* x x)) (* (sqrt (fma (/ y 500.0) (- (/ y 500.0) x) (* x x))) 1))

simplify364.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (351.0ms)

Iter	Nodes	Cost
0	186	744
1	659	538
2	4468	538
3	5002	535

prune239.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes81.0ms

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	6	2
1	6	2

end0.0ms

sample283.0ms

Algorithm

intervals

Results

119.0ms

8000×

body

valid