Details

Time bar (total: 2.4s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify21.0ms

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: 15.8b

localize6.0ms

Local error

Found 1 expressions with local error:

15.5b
(/ (* (* 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))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (* (* x 2.0) y) (- x y))

simplify34.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune61.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.4b
(* (* x 2.0) (/ y (- x y)))

rewrite26.0ms

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))
15.0ms
(* (* x 2.0) (/ y (- x y)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- x y))
59.0ms
(* (* x 2.0) (/ y (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune175.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
2.8b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
18×cbrt-div
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
13×associate-*r*
9×pow1 flip3-- flip--
8×cbrt-undiv add-cube-cbrt div-exp associate-/r/
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down distribute-lft-out-- difference-of-squares
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
37.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series718.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- x y))
148.0ms
(cbrt (- x y))
142.0ms
(cbrt (- x y))
272.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05741063
12595877
25002817

prune312.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

7.1b
(/ (* x 2.0) (/ (- x y) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
31×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt associate-/r*
13×add-exp-log add-cbrt-cube
6×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
3×div-inv
2×prod-exp cbrt-unprod
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u associate-/l* add-log-exp
Counts
1 → 60
Calls
1 calls:
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series64.0ms

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

simplify41.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0350419
11651373
25001372

prune103.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

96.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.0b

bsearch58.0ms

Steps
ItersRangePoint
8
6.687600202612776e-56
6.812780612614417e-53
4.149781996017055e-53
9
-2.0498894550570436e+65
-4.759771033625146e+59
-5.127799103239741e+59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample321.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid