Details

Time bar (total: 2.5s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1484
21064
31744
41984
52034
62034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
12.0ms
(/ (- x y) (* (* x 2.0) y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (- x y) (* (* x 2.0) y))

simplify36.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0237209
1976172
25002171

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (* x 2.0))
6.2b
(/ (/ (- x y) (* x 2.0)) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
34×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
16×add-exp-log add-cbrt-cube
14×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
4×associate-/r*
3×div-sub associate-/l/
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×flip3-- flip--
Counts
2 → 85
Calls
2 calls:
8.0ms
(/ (- x y) (* x 2.0))
12.0ms
(/ (/ (- x y) (* x 2.0)) y)

series96.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (- x y) (* x 2.0))
58.0ms
(/ (/ (- x y) (* x 2.0)) y)

simplify42.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0379606
11484546
25002545

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
0.1b
(/ 1 (/ (* x 2.0) (- x y)))
6.2b
(/ (/ 1 (/ (* x 2.0) (- x y))) y)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
364×times-frac
172×add-sqr-sqrt *-un-lft-identity
136×add-cube-cbrt
61×add-exp-log
42×associate-/l*
39×associate-/r/
36×div-exp
31×add-cbrt-cube
23×div-inv
19×associate-/r*
18×distribute-lft-out-- difference-of-squares
17×flip3-- flip--
16×cbrt-undiv
7×prod-exp
6×rec-exp 1-exp
4×pow1
3×frac-2neg clear-num cbrt-unprod add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 279
Calls
3 calls:
6.0ms
(/ (* x 2.0) (- x y))
10.0ms
(/ 1 (/ (* x 2.0) (- x y)))
24.0ms
(/ (/ 1 (/ (* x 2.0) (- x y))) y)

series154.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (* x 2.0) (- x y))
39.0ms
(/ 1 (/ (* x 2.0) (- x y)))
61.0ms
(/ (/ 1 (/ (* x 2.0) (- x y))) y)

simplify109.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010462659
149152396
250012396

prune446.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
0.1b
(/ 1 (/ (* x 2.0) (- x y)))
6.2b
(* (/ 1 (/ (* x 2.0) (- x y))) (/ 1 y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
167×add-exp-log
127×times-frac
92×add-sqr-sqrt
82×div-exp
74×*-un-lft-identity
56×prod-exp
50×add-cube-cbrt
49×add-cbrt-cube
38×associate-*l*
25×rec-exp 1-exp
21×cbrt-undiv
18×associate-/r/
16×associate-/r*
13×associate-*r*
12×cbrt-unprod
11×div-inv
9×distribute-lft-out-- difference-of-squares unswap-sqr
8×pow1 flip3-- flip--
4×associate-/l*
3×pow-flip pow-prod-down inv-pow add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
3 → 222
Calls
3 calls:
6.0ms
(/ (* x 2.0) (- x y))
10.0ms
(/ 1 (/ (* x 2.0) (- x y)))
44.0ms
(* (/ 1 (/ (* x 2.0) (- x y))) (/ 1 y))

series149.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (* x 2.0) (- x y))
39.0ms
(/ 1 (/ (* x 2.0) (- x y)))
59.0ms
(* (/ 1 (/ (* x 2.0) (- x y))) (/ 1 y))

simplify86.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
09311688
141421442
250021302

prune278.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

97.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 8.6b

bsearch62.0ms

Steps
ItersRangePoint
9
5.435833501470161e+46
5.41477266608165e+51
5.806446469040415e+46
7
-4.08727170856852e-36
-2.130734117157608e-37
-4.037603117656268e-36

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02812
13012
23012

end0.0ms

sample300.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid