Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
8.0ms275×body80valid
8.0ms289×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
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.4b
(/ 1.0 (* x 9.0))

rewrite57.0ms

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:
44.0ms
(- (- 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))

series168.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
60.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0516590
12039534
25001532

prune226.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

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))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite171.0ms

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:
153.0ms
(- (- 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))
5.0ms
(/ (/ 1.0 x) 9.0)

series167.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
62.0ms
(/ y (* 3.0 (sqrt x)))
44.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify71.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
0741956
12914892
25001892

prune375.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize11.0ms

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))
0.3b
(/ (/ 1.0 x) 9.0)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
60×add-sqr-sqrt
54×add-cube-cbrt *-un-lft-identity
41×add-exp-log
25×add-cbrt-cube
16×associate-/l*
14×prod-exp
13×associate-*r*
11×pow1 div-exp
7×cbrt-undiv div-inv
6×associate-*l* cbrt-unprod
4×rec-exp 1-exp associate-/r* sqrt-prod add-log-exp
3×pow-prod-down unswap-sqr
2×pow-flip frac-2neg clear-num *-commutative
1×associate-*r/ un-div-inv associate-/l/ inv-pow
Counts
4 → 152
Calls
4 calls:
6.0ms
(/ 1 (* 3.0 (sqrt x)))
16.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
5.0ms
(* 3.0 (sqrt x))
8.0ms
(/ (/ 1.0 x) 9.0)

series164.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1 (* 3.0 (sqrt x)))
58.0ms
(* y (/ 1 (* 3.0 (sqrt x))))
44.0ms
(* 3.0 (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)

simplify79.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0722903
13139804
25001794

prune396.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 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)))

rewrite189.0ms

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:
150.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
3.0ms
(/ y (sqrt x))
5.0ms
(/ (/ 1.0 x) 9.0)
21.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (* (/ 1 3.0) (/ y (sqrt x))))
47.0ms
(/ y (sqrt x))
17.0ms
(/ (/ 1.0 x) 9.0)
62.0ms
(* (/ 1 3.0) (/ y (sqrt x)))

simplify108.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09851537
143621393
250011386

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes61.0ms

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
0188
1188

end0.0ms

sample792.0ms

Algorithm
intervals
Results
265.0ms8552×body80valid
256.0ms8511×body80nan