Details

Time bar (total: 1.5s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize6.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (* (* 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 flip3-- frac-2neg clear-num flip-- div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series61.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune50.0ms

Filtered
32 candidates to 21 candidates (65.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
8.3b
(* (* x 2.0) (/ y (- x y)))

rewrite23.0ms

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×flip3-- flip-- div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series101.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (- x y))
61.0ms
(* (* x 2.0) (/ y (- x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0310435
11657385
25001385

prune125.0ms

Filtered
84 candidates to 53 candidates (63.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
8.5b
(/ (* x 2.0) (/ (- x y) y))

rewrite20.0ms

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
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 frac-2neg prod-exp clear-num cbrt-unprod associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 96
Calls
2 calls:
7.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (- x y) y)
62.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0386605
11911548
25001547

prune160.0ms

Filtered
102 candidates to 71 candidates (69.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
5.8b
(* (/ (* x 2.0) (- x y)) y)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×associate-*l*
10×times-frac
7×add-cube-cbrt
5×prod-exp associate-/r* cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*r* distribute-lft-out-- difference-of-squares
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 58
Calls
2 calls:
6.0ms
(/ (* x 2.0) (- x y))
16.0ms
(* (/ (* x 2.0) (- x y)) y)

series122.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (* x 2.0) (- x y))
74.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0261314
11307262
25002262

prune89.0ms

Filtered
64 candidates to 43 candidates (67.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes39.0ms

Accuracy

98.6% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 7.3b

bsearch49.0ms

Steps
ItersRangePoint
6
5.540917366542361
48.29475874355119
7.7862793349582615
9
-2.3927405509313147e+51
-2.6236126645961445e+43
-2.8099683997302566e+48

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample322.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid