Details

Time bar (total: 1.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify18.0ms

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: 15.2b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
14.0ms
(/ (* (* x 2.0) y) (- x y))

series61.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0214194
11150161
25001161

prune60.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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))
17.0ms
(* (* x 2.0) (/ y (- x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (- x y))
65.0ms
(* (* x 2.0) (/ y (- x y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

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))))

rewrite52.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 123
Calls
3 calls:
6.0ms
(/ 1 (- x y))
19.0ms
(* y (/ 1 (- x y)))
22.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

series148.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (- x y))
46.0ms
(* y (/ 1 (- x y)))
69.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0386660
11789532
25002490

prune162.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
9.0ms
(/ (- x y) y)
10.0ms
(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
62.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0392620
11920563
25001562

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

96.6% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 7.5b

bsearch53.0ms

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

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample305.0ms

Algorithm
intervals
Results
182.0ms8000×body80valid