Details

Time bar (total: 3.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize8.0ms

Local error

Found 1 expressions with local error:

11.7b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

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:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (* (* x 2.0) y) (- x y))

simplify35.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune59.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
7.4b
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite68.0ms

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:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
57.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series506.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))
143.0ms
(cbrt (- x y))
62.0ms
(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify95.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06531489
135371286
250011192

prune330.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
7.9b
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
27×add-cbrt-cube
21×prod-exp cbrt-unprod
12×cbrt-div
10×cbrt-undiv div-exp
9×cbrt-prod
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×flip3-- flip--
4×pow1 expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
22.0ms
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

series837.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt y)
179.0ms
(cbrt y)
209.0ms
(cbrt y)
270.0ms
(/ (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (cbrt (- x y)) (cbrt (- x y))))

simplify71.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0464812
12321616
25002566

prune241.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
10.0b
(* (* x 2.0) (/ y (- x y)))

rewrite28.0ms

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)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 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

prune161.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes156.0ms

Accuracy

90.2% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03137
13137

end0.0ms

sample312.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid