Details

Time bar (total: 3.8s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize6.0ms

Local error

Found 1 expressions with local error:

16.5b
(/ (* (* x 2.0) y) (- x y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune57.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ y (- x y))
19.0ms
(* (* x 2.0) (/ y (- x y)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune133.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.6b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
9×pow1 cbrt-prod
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
6×flip3-- flip--
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
39.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt y)
177.0ms
(cbrt y)
176.0ms
(cbrt y)
276.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0499853
12511647
25001585

prune245.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
1.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
39×cbrt-div
24×associate-/r/
18×flip3-- flip--
12×frac-times
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×times-frac div-inv
Counts
4 → 85
Calls
4 calls:
1.0ms
(cbrt y)
14.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
284.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
277.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))
282.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
02101252
14521183
213061172
350021172

prune362.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

42.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02732
12732

end0.0ms

sample473.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid