Details

Time bar (total: 1.7s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify17.0ms

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: 15.7b

localize5.0ms

Local error

Found 1 expressions with local error:

15.3b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

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

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (* (* x 2.0) y) (- x y))

simplify34.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune62.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.6b
(* (* x 2.0) (/ y (- x y)))

rewrite19.0ms

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:
5.0ms
(/ y (- x y))
10.0ms
(* (* x 2.0) (/ y (- x y)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
66.0ms
(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ y (- x y)))
0.0b
(/ y (- x y))
7.4b
(* x (* 2.0 (/ y (- x y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
associate-*l*
associate-/r*
pow-prod-down associate-/r/
cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u associate-/l* add-log-exp
flip3-- *-commutative flip-- div-inv unswap-sqr
frac-2neg clear-num
Counts
3 → 104
Calls
3 calls:
10.0ms
(* 2.0 (/ y (- x y)))
5.0ms
(/ y (- x y))
9.0ms
(* x (* 2.0 (/ y (- x y))))

series162.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 2.0 (/ y (- x y)))
44.0ms
(/ y (- x y))
65.0ms
(* x (* 2.0 (/ y (- x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0310537
11438476
25002476

prune176.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
8.0b
(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

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:
6.0ms
(/ (- x y) y)
8.0ms
(/ (* x 2.0) (/ (- x y) y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x y) y)
68.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0392620
11920563
25001562

prune178.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes39.0ms

Accuracy

97.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.0b

bsearch66.0ms

Steps
ItersRangePoint
10
2.324340584786082e-38
4.9319618973553975e-21
2.5968782680036832e-23
9
-3.4006311494629515e+53
-8.34262194004149e+44
-1.7538803200316063e+49

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1309
2309

end0.0ms

sample311.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid