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

prune2.0ms

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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

10.0ms

(+ x (/ y 500.0))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (/ y 500.0))

simplify126.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	79	58
1	203	53
2	477	53
3	1284	53
4	3895	53
5	5002	53

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
0.6b	(cbrt (+ x (/ y 500.0)))
0.6b	(cbrt (+ x (/ y 500.0)))
0.6b	(cbrt (+ x (/ y 500.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

75.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
8.0ms	(cbrt (+ x (/ y 500.0)))
8.0ms	(cbrt (+ x (/ y 500.0)))
8.0ms	(cbrt (+ x (/ y 500.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
242.0ms	(cbrt (+ x (/ y 500.0)))
252.0ms	(cbrt (+ x (/ y 500.0)))
239.0ms	(cbrt (+ x (/ y 500.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	241	875
1	701	824
2	3059	757
3	5002	752

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ y 500.0)))
0.6b	(cbrt (- x (/ y 500.0)))
4.1b	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
35.2b	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `difference-of-squares`
3×	`flip3--` `pow1/3` `flip--`
1×	`sub-neg` `flip3-+` `times-frac` `diff-log` `flip-+` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 57

Calls

4 calls:

8.0ms	(cbrt (+ x (/ y 500.0)))
8.0ms	(cbrt (- x (/ y 500.0)))
8.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
6.0ms	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

series703.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (+ x (/ y 500.0)))
277.0ms	(cbrt (- x (/ y 500.0)))
40.0ms	(- (* x x) (* (/ y 500.0) (/ y 500.0)))
128.0ms	(cbrt (- (* x x) (* (/ y 500.0) (/ y 500.0))))

simplify104.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	335	554
1	921	511
2	3548	505
3	5001	502

prune252.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (/ y 500.0) 3)
2.5b	(+ (pow x 3) (pow (/ y 500.0) 3))
3.4b	(+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x))
46.4b	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
45×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
25×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`add-log-exp`
5×	`pow1` `sum-cubes`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/r*` `div-inv`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `pow-exp` `sum-log` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

6.0ms	(pow (/ y 500.0) 3)
38.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
24.0ms	(+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x))
154.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (/ y 500.0) 3)
59.0ms	(+ (pow x 3) (pow (/ y 500.0) 3))
37.0ms	(+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x))
109.0ms	(/ (+ (pow x 3) (pow (/ y 500.0) 3)) (+ (* (/ y 500.0) (- (/ y 500.0) x)) (* x x)))

simplify99.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	558	1502
1	2780	1377
2	5002	1368

prune303.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes84.0ms

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	6	2
1	6	2

end0.0ms

sample287.0ms

Algorithm

intervals

Results

115.0ms

8000×

body

valid