Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
13.0ms256×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: 16.2b

localize5.0ms

Local error

Found 1 expressions with local error:

15.7b
(/ (* (* x 2.0) y) (- x y))

rewrite12.0ms

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:
11.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (* (* x 2.0) y) (- x y))

simplify32.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune60.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.8b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

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:
8.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune142.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

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
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:
9.0ms
(/ (- x y) y)
10.0ms
(/ (* x 2.0) (/ (- x y) y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
65.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0392620
11920563
25001562

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- x y))
7.2b
(* (/ (* x 2.0) (- x y)) y)

rewrite26.0ms

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
add-cube-cbrt
prod-exp associate-/r* cbrt-unprod
pow1 cbrt-undiv div-exp associate-/r/
associate-*r* distribute-lft-out-- difference-of-squares
expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
2 → 62
Calls
2 calls:
6.0ms
(/ (* x 2.0) (- x y))
18.0ms
(* (/ (* x 2.0) (- x y)) y)

series117.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* x 2.0) (- x y))
67.0ms
(* (/ (* x 2.0) (- x y)) y)

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0268331
11326279
25001279

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes43.0ms

Accuracy

98% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 7.6b

bsearch68.0ms

Steps
ItersRangePoint
6
4.0811024842596224e-26
4.916747948798231e-25
1.226684745187438e-25
10
-1.1123018404681778e+64
-1.7022794555435847e+52
-2.5251409834127483e+52

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample574.0ms

Algorithm
intervals
Results
439.0ms8000×body80valid