Details

Time bar (total: 2.4s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
flip3-+ associate-/r/ flip-+ associate-/l/
pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(/ (+ x y) (+ y 1.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0191254
1588238
21797238
35001236

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.1b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
associate-/l*
flip3-+ flip-+ div-inv
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
7.0ms
(/ (+ y 1.0) (+ x y))
11.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (+ y 1.0) (+ x y))
35.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04491228
121811095
25002973

prune165.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
10.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series669.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
200.0ms
(cbrt (+ x y))
135.0ms
(cbrt (+ x y))
131.0ms
(cbrt (+ x y))

simplify145.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
0246671
1881634
24190584
35001580

prune264.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
15.1b
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt associate-*l*
10×difference-of-squares
add-exp-log add-cbrt-cube distribute-lft-out
associate-*r*
pow1 flip3-- associate-/r* associate-/r/ flip-- associate-/l*
cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num *-commutative flip-+ distribute-lft-out--
Counts
2 → 91
Calls
2 calls:
15.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
8.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series142.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
75.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0443880
12112809
25001731

prune186.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample258.0ms

Algorithm
intervals
Results
140.0ms7999×body80valid
0.0msbody160valid