Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
8.0ms333×body80valid

simplify56.0ms

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: 7.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
6.8b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite43.0ms

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
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
20.0ms
(* (- 1.0 x) (- 3.0 x))
19.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) (- 3.0 x))
49.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify94.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0497758
12837559
25002559

prune175.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite59.0ms

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*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
9.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
32.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series129.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 3.0 x) 3.0)
36.0ms
(/ (- 1.0 x) y)
49.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0571920
12402835
25001834

prune336.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
294×times-frac
259×add-sqr-sqrt
246×*-un-lft-identity
216×add-cube-cbrt
169×prod-diff
33×div-inv
19×associate-*r*
15×distribute-lft-out-- difference-of-squares
13×fma-neg
12×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 associate-/l* add-log-exp
4×frac-times flip3-- associate-*l/ flip--
3×expm1-log1p-u associate-/r* frac-sub log1p-expm1-u sub-div
2×cbrt-undiv distribute-rgt-out-- div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 304
Calls
3 calls:
27.0ms
(- (/ 1.0 y) (/ x y))
9.0ms
(/ (- 3.0 x) 3.0)
83.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

series136.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (/ 1.0 y) (/ x y))
40.0ms
(/ (- 3.0 x) 3.0)
64.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

simplify142.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
010195222
134973833
250023432

prune466.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.1b
(/ (- 3.0 x) (cbrt 3.0))
0.3b
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
157×add-sqr-sqrt
130×*-un-lft-identity
78×add-cube-cbrt
61×add-exp-log
43×add-cbrt-cube
36×cbrt-prod
34×associate-*r*
29×associate-/l*
26×distribute-lft-out-- difference-of-squares
25×cbrt-undiv div-exp
23×associate-*l*
16×prod-exp cbrt-unprod
10×associate-/r*
9×unswap-sqr
8×div-inv
6×pow1
5×associate-/l/
4×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×flip3-- flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 259
Calls
4 calls:
9.0ms
(/ (- 1.0 x) y)
10.0ms
(/ (- 3.0 x) (cbrt 3.0))
14.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
61.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series433.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (- 1.0 x) y)
88.0ms
(/ (- 3.0 x) (cbrt 3.0))
188.0ms
(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
113.0ms
(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify133.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
010112528
148932249
250012249

prune725.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample437.0ms

Algorithm
intervals
Results
268.0ms10685×body80valid