Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune1.0ms

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))

rewrite6.0ms

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:

5.0ms

(+ x (/ y 500.0))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (/ y 500.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (3.0ms)

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

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (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)))

rewrite34.0ms

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:

15.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
5.0ms	(cbrt (+ x (/ y 500.0)))
5.0ms	(cbrt (+ x (/ y 500.0)))
5.0ms	(cbrt (+ x (/ y 500.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt (+ x (/ y 500.0))) (cbrt (+ x (/ y 500.0))))
243.0ms	(cbrt (+ x (/ y 500.0)))
253.0ms	(cbrt (+ x (/ y 500.0)))
242.0ms	(cbrt (+ x (/ y 500.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	241	875
1	701	824
2	3059	757
3	5002	753

prune231.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(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)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (+ x (/ y 500.0)))
6.0ms	(cbrt (+ x (/ y 500.0)))
6.0ms	(cbrt (+ x (/ y 500.0)))
6.0ms	(cbrt (+ x (/ y 500.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt (+ x (/ y 500.0)))
249.0ms	(cbrt (+ x (/ y 500.0)))
252.0ms	(cbrt (+ x (/ y 500.0)))
253.0ms	(cbrt (+ x (/ y 500.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	123	444
1	246	416
2	562	408
3	1484	408
4	5002	388

prune220.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
0.3b	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
0.3b	(* (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))) (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))))
0.6b	(cbrt (+ x (/ y 500.0)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

242×	`cbrt-div`
240×	`sqrt-div`
144×	`frac-times`
129×	`pow1`
121×	`flip3-+` `flip-+`
100×	`cbrt-prod`
73×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
57×	`pow1/3`
56×	`sqrt-prod`
53×	`pow-prod-up`
48×	`associate-r/` `associate-l/`
37×	`pow-sqr`
36×	`pow-prod-down`
29×	`add-cube-cbrt` `swap-sqr`
21×	`associate-r` `associate-l`
20×	`add-exp-log` `pow-plus`
19×	`unswap-sqr`
15×	`pow2`
13×	`distribute-lft-out`
10×	`prod-exp` `cbrt-unprod`
8×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`*-commutative`

Counts

4 → 306

Calls

4 calls:

33.0ms	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
21.0ms	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
38.0ms	(* (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))) (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))))
5.0ms	(cbrt (+ x (/ y 500.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
295.0ms	(* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0)))))
297.0ms	(* (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))) (* (cbrt (sqrt (+ x (/ y 500.0)))) (cbrt (sqrt (+ x (/ y 500.0))))))
257.0ms	(cbrt (+ x (/ y 500.0)))

simplify92.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	751	5628
1	2064	5074
2	5003	4597

prune522.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes73.0ms

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

sample256.0ms

Algorithm

intervals

Results

136.0ms

8000×

body

valid