Details

Time bar (total: 1.6s)

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize5.0ms

Local error

Found 1 expressions with local error:

14.9b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

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:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (* (* x 2.0) y) (- x y))

simplify33.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0211184
11144151
25002151

prune51.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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))
9.0ms
(* (* x 2.0) (/ y (- x y)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0310435
11657385
25001385

prune134.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* y (/ 1 (- x y)))
6.4b
(* (* x 2.0) (* y (/ 1 (- x y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
31×add-cbrt-cube
27×prod-exp
23×add-cube-cbrt
22×associate-*r*
18×pow1
15×cbrt-unprod
9×pow-prod-down
8×div-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×cbrt-undiv rec-exp 1-exp associate-*r/ associate-*l* associate-/r/
3×associate-/l* add-log-exp unswap-sqr
2×flip3-- un-div-inv *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 117
Calls
3 calls:
5.0ms
(/ 1 (- x y))
13.0ms
(* y (/ 1 (- x y)))
11.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

series140.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- x y))
48.0ms
(* y (/ 1 (- x y)))
59.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0379634
11779506
25001464

prune145.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.9b
(/ (* x 2.0) (/ (- x y) y))

rewrite17.0ms

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:
5.0ms
(/ (- x y) y)
8.0ms
(/ (* x 2.0) (/ (- x y) y))

series87.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (- x y) y)
64.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0386605
11911548
25001547

prune157.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes36.0ms

Accuracy

96.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.5b

bsearch48.0ms

Steps
ItersRangePoint
7
2.3605559853934066e-74
1.2160275497661862e-72
1.1906485223121452e-72
7
-4.08727170856852e-36
-2.130734117157608e-37
-1.934039418688591e-36

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample312.0ms

Algorithm
intervals
Results
185.0ms8000×body80valid