Details

Time bar (total: 4.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify30.0ms

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: 21.0b

localize6.0ms

Local error

Found 1 expressions with local error:

20.5b
(/ (* (* x 2.0) y) (- x y))

rewrite29.0ms

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:
28.0ms
(/ (* (* x 2.0) y) (- x y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (* (* x 2.0) y) (- x y))

simplify47.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0214194
11150161
25001161

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:
12.0ms
(/ y (- x y))
40.0ms
(* (* x 2.0) (/ y (- x y)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- x y))
72.0ms
(* (* x 2.0) (/ y (- x y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0315451
11665401
25001401

prune177.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
7.0b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
43×add-sqr-sqrt
35×*-un-lft-identity
32×add-cbrt-cube
31×cbrt-prod
30×associate-*r*
27×times-frac
23×add-cube-cbrt
20×cbrt-div
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp associate-*l*
10×flip3-- associate-/r/ flip--
6×pow1 distribute-lft-out-- difference-of-squares
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/ unswap-sqr
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 131
Calls
4 calls:
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
5.0ms
(cbrt (- x y))
120.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (- x y))
179.0ms
(cbrt (- x y))
168.0ms
(cbrt (- x y))
73.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify120.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
06531489
135371286
250011192

prune406.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
3.4b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
261×add-exp-log
133×add-cbrt-cube
128×prod-exp cbrt-unprod
119×cbrt-prod
88×associate-*r*
82×cbrt-undiv div-exp
73×times-frac
67×add-sqr-sqrt
62×*-un-lft-identity
50×add-cube-cbrt
36×cbrt-div
18×associate-/r/
14×frac-times associate-*l*
13×flip3-- flip--
11×pow1
10×associate-*l/
8×associate-*r/
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×div-inv unswap-sqr
2×pow1/3 *-commutative
Counts
4 → 258
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
358.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
133.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

series680.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt y)
200.0ms
(cbrt y)
86.0ms
(* (* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y)))))) (/ (cbrt y) (cbrt (cbrt (- x y)))))
180.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- x y)) (cbrt (- x y))))))

simplify91.0ms

Algorithm
egg-herbie
Counts
270 → 270
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
016236644
150025650

prune1.0s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

82.6% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 6.1b

bsearch96.0ms

Steps
ItersRangePoint
8
1.3263943024813382e-104
3.210038579798312e-101
3.147408210159048e-101
11
-4.298748600199863e-30
-5.28850636595529e-67
-6.819752026637394e-42

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03128
13128

end0.0ms

sample362.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid