Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80nan
9.0ms269×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×sub-neg flip3-- frac-2neg associate--l+ clear-num associate-/r* frac-sub flip-- div-inv unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
10.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
4.0ms
(/ 1.0 (* x 9.0))

series155.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
39.0ms
(* 3.0 (sqrt x))
15.0ms
(/ 1.0 (* x 9.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
57×add-sqr-sqrt
56×*-un-lft-identity
51×add-cube-cbrt
16×add-exp-log add-cbrt-cube associate-/l*
9×add-log-exp
6×pow1 associate-*r* div-inv
5×cbrt-undiv div-exp
4×associate-/r* sqrt-prod
3×diff-log associate-*l* distribute-lft-out--
2×sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/ difference-of-squares
Counts
4 → 134
Calls
4 calls:
20.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms
(/ y (* 3.0 (sqrt x)))
6.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series158.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
41.0ms
(* 3.0 (sqrt x))

simplify68.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0741956
12914892
25001892

prune360.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
108×add-sqr-sqrt
84×*-un-lft-identity
81×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
16×associate-/l*
13×associate-*l*
12×div-exp
9×associate-/r* add-log-exp unswap-sqr
8×cbrt-undiv prod-exp div-inv
6×pow1 frac-sub
4×flip3-- flip-- cbrt-unprod
3×frac-times diff-log associate-*r/ associate-*l/
2×sub-neg rec-exp frac-2neg 1-exp associate--l+ clear-num
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 199
Calls
4 calls:
18.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms
(/ y (sqrt x))
6.0ms
(/ (/ 1.0 x) 9.0)
18.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
44.0ms
(/ y (sqrt x))
16.0ms
(/ (/ 1.0 x) 9.0)
62.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify104.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09851537
143621393
250011386

prune519.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (sqrt x))
0.3b
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (sqrt x)) (cbrt 3.0)))
0.3b
(/ (/ 1.0 x) 9.0)
0.4b
(/ (/ y (sqrt x)) (cbrt 3.0))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
619×times-frac
363×add-sqr-sqrt
322×add-cube-cbrt *-un-lft-identity
141×cbrt-prod
136×associate-*r*
133×sqrt-prod
85×add-exp-log
49×add-cbrt-cube
38×associate-/l*
34×cbrt-undiv div-exp
27×prod-exp cbrt-unprod
22×div-inv
15×associate-/r*
14×unswap-sqr
6×pow1
5×associate-*l*
4×add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 481
Calls
4 calls:
4.0ms
(/ y (sqrt x))
45.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (sqrt x)) (cbrt 3.0)))
6.0ms
(/ (/ 1.0 x) 9.0)
13.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

series330.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ y (sqrt x))
123.0ms
(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (sqrt x)) (cbrt 3.0)))
15.0ms
(/ (/ 1.0 x) 9.0)
148.0ms
(/ (/ y (sqrt x)) (cbrt 3.0))

simplify92.0ms

Algorithm
egg-herbie
Counts
493 → 493
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
020215908
150015587

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02216
12216

end0.0ms

sample849.0ms

Algorithm
intervals
Results
294.0ms8540×body80valid
278.0ms8404×body80nan