Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms332×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.5b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
frac-times associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
expm1-log1p-u sub-neg log1p-expm1-u 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 → 85
Calls
2 calls:
19.0ms
(* (- 1.0 x) (- 3.0 x))
15.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- 1.0 x) (- 3.0 x))
48.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0497758
12837559
25002559

prune176.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.0b
(/ (- 3.0 x) 3.0)
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
expm1-log1p-u log1p-expm1-u add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
8.0ms
(/ (- 1.0 x) y)
8.0ms
(/ (- 3.0 x) 3.0)
30.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ (- 1.0 x) y)
39.0ms
(/ (- 3.0 x) 3.0)
51.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0571920
12402835
25001834

prune337.0ms

Pruning

5 alts after pruning (5 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
(/ (/ (- 3.0 x) 3.0) y)
0.1b
(* (- 1.0 x) (/ (/ (- 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*
expm1-log1p-u flip3-- div-sub prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg associate-*l/ clear-num
associate-*r/ pow-prod-down *-commutative
Counts
3 → 228
Calls
3 calls:
8.0ms
(/ (- 3.0 x) 3.0)
15.0ms
(/ (/ (- 3.0 x) 3.0) y)
39.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series134.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (- 3.0 x) 3.0)
47.0ms
(/ (/ (- 3.0 x) 3.0) y)
47.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify122.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08071746
140311652
250011649

prune552.0ms

Pruning

5 alts after pruning (4 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
(/ (- 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))))

rewrite170.0ms

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
expm1-log1p-u pow-prod-down associate-*l/ log1p-expm1-u associate-/l/ add-log-exp
flip3-- frac-2neg div-sub clear-num *-commutative flip--
Counts
4 → 265
Calls
4 calls:
8.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
9.0ms
(/ (- 3.0 x) (cbrt 3.0))
92.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- 1.0 x) y)
145.0ms
(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))
79.0ms
(/ (- 3.0 x) (cbrt 3.0))
107.0ms
(* (/ (- 1.0 x) y) (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
011032773
150012319

prune834.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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

sample438.0ms

Algorithm
intervals
Results
267.0ms10635×body80valid