Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
4.3b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
frac-times *-un-lft-identity associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series71.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (- 1.0 x) (- 3.0 x))
47.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0413460
12310393
25001393

prune134.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
7.0ms
(/ (- 1.0 x) y)
33.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
47.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0559898
12363816
25001815

prune287.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.1b
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
0.1b
(/ (/ (- 3.0 x) 3.0) y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
cbrt-undiv div-exp
associate-/r*
pow1 associate-*l*
flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg associate-*l/ clear-num
associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
43.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
12.0ms
(/ (/ (- 3.0 x) 3.0) y)

series131.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (- 3.0 x) 3.0)
44.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
45.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify107.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07941722
139861628
250021628

prune477.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
0.1b
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
0.1b
(/ (- 3.0 x) (cbrt 3.0))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
190×add-exp-log
122×add-sqr-sqrt
105×times-frac
104×*-un-lft-identity
90×prod-exp
72×add-cbrt-cube
62×div-exp
61×add-cube-cbrt
38×cbrt-unprod
36×cbrt-prod
35×associate-*r*
30×cbrt-undiv
26×associate-*l*
20×distribute-lft-out-- difference-of-squares
12×rec-exp 1-exp
11×pow1
10×associate-/l*
associate-/r* unswap-sqr
frac-times associate-*r/
div-inv
pow-prod-down associate-*l/ associate-/l/ add-log-exp
flip3-- frac-2neg div-sub clear-num *-commutative flip--
Counts
4 → 257
Calls
4 calls:
7.0ms
(/ (- 1.0 x) y)
46.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
94.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
8.0ms
(/ (- 3.0 x) (cbrt 3.0))

series346.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (- 1.0 x) y)
132.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
101.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))
81.0ms
(/ (- 3.0 x) (cbrt 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
010882719
150012268

prune559.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample479.0ms

Algorithm
intervals
Results
290.0ms10734×body80valid