Details

Time bar (total: 1.6s)

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize9.0ms

Local error

Found 1 expressions with local error:

12.4b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/r*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/r/ distribute-lft-out-- difference-of-squares
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))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.5b
(* (* x 2.0) (/ y (- x y)))

rewrite24.0ms

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
pow1 distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
associate-/r*
associate-/r/
cbrt-undiv div-exp pow-prod-down associate-/l*
expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- x y))
64.0ms
(* (* x 2.0) (/ y (- x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune140.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.1b
(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp
associate-/l*
div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
8.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
64.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify56.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392620
11920563
25001562

prune173.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.1b
(/ (* x 2.0) (* 1 (- (/ x y) 1)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-cbrt-cube
prod-exp
div-exp
cbrt-undiv cbrt-unprod
1-exp associate-*r/ associate-/r/
pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt flip3-- frac-2neg *-un-lft-identity times-frac clear-num associate-/r* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
11.0ms
(/ (* x 2.0) (* 1 (- (/ x y) 1)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* x 2.0) (* 1 (- (/ x y) 1)))

simplify35.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0225192
11275145
25001145

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

98.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 7.5b

bsearch68.0ms

Steps
ItersRangePoint
10
1.1668673414757802e-26
8.956800960144148e-15
8.691591118792645e-21
7
-4.332132377297825e+46
-2.5627405340194908e+44
-3.0306756776612656e+44

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1289
2289

end0.0ms

sample479.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid