Details

Time bar (total: 3.1s)

sample33.0ms

Algorithm
intervals
Results
9.0ms278×body80valid
8.0ms276×body80nan

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

rewrite128.0ms

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:
95.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
13.0ms
(* 3.0 (sqrt x))
9.0ms
(/ y (* 3.0 (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))

series145.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
33.0ms
(* 3.0 (sqrt x))
54.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0516590
12039534
25001532

prune217.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ y (* 3.0 (sqrt x)))
0.2b
(* 3.0 (sqrt x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×pow1 sqrt-prod
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
2 → 43
Calls
2 calls:
9.0ms
(/ y (* 3.0 (sqrt x)))
13.0ms
(* 3.0 (sqrt x))

series91.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ y (* 3.0 (sqrt x)))
34.0ms
(* 3.0 (sqrt x))

simplify35.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0275244
11069207
25002199

prune122.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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

rewrite238.0ms

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:
199.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
12.0ms
(/ y (* 3.0 (sqrt x)))
10.0ms
(* 3.0 (sqrt x))
12.0ms
(/ (/ 1.0 x) 9.0)

series148.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
51.0ms
(/ y (* 3.0 (sqrt x)))
37.0ms
(* 3.0 (sqrt x))
15.0ms
(/ (/ 1.0 x) 9.0)

simplify68.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0741956
12914892
25001892

prune379.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* y (/ 1 (* 3.0 (sqrt x))))
0.2b
(* 3.0 (sqrt x))
0.3b
(/ 1 (* 3.0 (sqrt x)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
19×add-cbrt-cube
17×add-sqr-sqrt
14×prod-exp
13×associate-*r*
11×add-cube-cbrt *-un-lft-identity
10×pow1
8×div-exp
6×times-frac associate-*l* cbrt-unprod
4×cbrt-undiv rec-exp 1-exp sqrt-prod
3×pow-prod-down associate-/l* add-log-exp unswap-sqr
2×pow-flip *-commutative div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 82
Calls
3 calls:
36.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
13.0ms
(* 3.0 (sqrt x))
14.0ms
(/ 1 (* 3.0 (sqrt x)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
34.0ms
(* 3.0 (sqrt x))
40.0ms
(/ 1 (* 3.0 (sqrt x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0406456
11843374
25002364

prune167.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes103.0ms

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
0137
1137

end0.0ms

sample888.0ms

Algorithm
intervals
Results
265.0ms8545×body80valid
244.0ms8654×body80nan