Details

Time bar (total: 4.5s)

sample50.0ms

Algorithm
intervals
Results
21.0ms275×body80valid
14.0ms274×body80nan

simplify19.0ms

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))

rewrite58.0ms

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:
45.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series164.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0516590
12039534
25001532

prune230.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
32×add-exp-log
31×times-frac
28×associate-*r*
26×*-un-lft-identity
25×add-cbrt-cube
24×add-cube-cbrt
11×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
9×cbrt-undiv div-exp add-log-exp
8×pow1 unswap-sqr
4×sqrt-prod
3×diff-log div-inv associate-/l*
2×sub-neg flip3-- pow-prod-down associate--l+ *-commutative frac-sub flip--
1×associate--l- frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
4 → 122
Calls
4 calls:
14.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
25.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series294.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- (- 1.0 (* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))) (/ y (* 3.0 (sqrt x))))
57.0ms
(/ y (* 3.0 (sqrt x)))
44.0ms
(* 3.0 (sqrt x))
104.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
08161266
138951131
250021079

prune366.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
90×add-sqr-sqrt
86×*-un-lft-identity
84×add-cube-cbrt
36×cbrt-prod
25×associate-/l*
16×add-exp-log
15×add-cbrt-cube
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*
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/ distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
14.0ms
(- (- 1.0 (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) 9.0) x))) (/ y (* 3.0 (sqrt x))))
3.0ms
(/ y (* 3.0 (sqrt x)))
4.0ms
(* 3.0 (sqrt x))
11.0ms
(/ (/ (cbrt 1.0) 9.0) x)

series256.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (- 1.0 (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) 9.0) x))) (/ y (* 3.0 (sqrt x))))
65.0ms
(/ y (* 3.0 (sqrt x)))
38.0ms
(* 3.0 (sqrt x))
66.0ms
(/ (/ (cbrt 1.0) 9.0) x)

simplify86.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
08781588
133631506
250011496

prune552.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
49×add-sqr-sqrt
35×associate-*r*
34×times-frac add-cbrt-cube
27×add-cube-cbrt *-un-lft-identity
22×prod-exp
15×div-exp
14×cbrt-unprod
13×pow1 associate-*l*
11×cbrt-undiv cbrt-prod
9×unswap-sqr
4×rec-exp 1-exp pow-prod-down sqrt-prod div-inv add-log-exp
3×*-commutative associate-/l*
2×pow-flip associate-*r/
1×frac-times frac-2neg associate-*l/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 141
Calls
4 calls:
6.0ms
(/ 1 (* 3.0 (sqrt x)))
16.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
5.0ms
(* 3.0 (sqrt x))
22.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

series252.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1 (* 3.0 (sqrt x)))
64.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
38.0ms
(* 3.0 (sqrt x))
111.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) x) (/ (cbrt 1.0) 9.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
07951054
14115887
25002826

prune377.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712
11712

end0.0ms

sample1.3s

Algorithm
intervals
Results
566.0ms8555×body80valid
432.0ms8432×body80nan