Details

Time bar (total: 5.2s)

sample48.0ms

Algorithm
intervals
Results
18.0ms272×body80valid
15.0ms284×body80nan

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447

prune3.0ms

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

rewrite60.0ms

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:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(* 3.0 (sqrt x))
3.0ms
(/ 1.0 (* x 9.0))

series180.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms
(/ y (* 3.0 (sqrt x)))
43.0ms
(* 3.0 (sqrt x))
17.0ms
(/ 1.0 (* x 9.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0516590
12039534
25001532

prune267.0ms

Pruning

8 alts after pruning (8 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))))
0.3b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite184.0ms

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:
162.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series195.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
71.0ms
(/ y (* 3.0 (sqrt x)))
20.0ms
(/ (/ 1.0 x) 9.0)
50.0ms
(* 3.0 (sqrt x))

simplify88.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
0741956
12914892
25001892

prune437.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
290×times-frac
119×add-sqr-sqrt
115×add-cube-cbrt *-un-lft-identity
54×cbrt-prod
41×add-exp-log
33×associate-/l*
28×add-cbrt-cube
19×cbrt-undiv div-exp div-inv
8×associate-/r*
6×pow1 associate-*r* prod-exp cbrt-unprod
4×sqrt-prod add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-/l/ unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 235
Calls
4 calls:
4.0ms
(/ y (* 3.0 (sqrt x)))
15.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
7.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
5.0ms
(* 3.0 (sqrt x))

series367.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ y (* 3.0 (sqrt x)))
123.0ms
(/ (/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
117.0ms
(/ (/ 1.0 x) (* (cbrt 9.0) (cbrt 9.0)))
53.0ms
(* 3.0 (sqrt x))

simplify106.0ms

Algorithm
egg-herbie
Counts
247 → 247
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09782412
140562240
250022213

prune893.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- flip-- div-inv
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
Counts
4 → 150
Calls
4 calls:
44.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
3.0ms
(/ y (sqrt x))
19.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))

series206.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
50.0ms
(/ y (sqrt x))
75.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
20.0ms
(/ 1.0 (* x 9.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07671171
135241033
250011025

prune421.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01612
11612

end0.0ms

sample1.3s

Algorithm
intervals
Results
577.0ms8531×body80valid
437.0ms8482×body80nan