Details

Time bar (total: 21.6s)

sample101.0ms

Algorithm
intervals
Results
41.0ms279×body80nan
38.0ms274×body80valid

simplify5.6s

Counts
1 → 1
Iterations
IterNodes
done5000
94987
82165
71360
6876
5580
4389
3184
262
124
012

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 123
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
7.0ms
(/ 1.0 (* x 9.0))
13.0ms
(* 3.0 (sqrt x))
196.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series207.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ 1.0 (* x 9.0)))
19.0ms
(/ 1.0 (* x 9.0))
49.0ms
(* 3.0 (sqrt x))
108.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify1.8s

Counts
135 → 135
Iterations
IterNodes
done5004
22102
1656
0234

prune635.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
75×times-frac
71×add-sqr-sqrt
65×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×div-inv
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* fma-def div-exp
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 172
Calls
4 calls:
9.0ms
(+ y (/ (/ 1.0 x) 9.0))
7.0ms
(* 3.0 (sqrt x))
8.0ms
(/ (/ 1.0 x) 9.0)
202.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ y (/ (/ 1.0 x) 9.0))
55.0ms
(* 3.0 (sqrt x))
25.0ms
(/ (/ 1.0 x) 9.0)
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify1.9s

Counts
184 → 184
Iterations
IterNodes
done5001
22641
1895
0334

prune692.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
59×add-sqr-sqrt
53×add-cube-cbrt
20×distribute-lft-out
16×add-cbrt-cube add-exp-log
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod insert-posit16 log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 185
Calls
4 calls:
18.0ms
(+ y (/ 1.0 (* x 9.0)))
13.0ms
(/ 1.0 (* x 9.0))
224.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
219.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ y (/ 1.0 (* x 9.0)))
19.0ms
(/ 1.0 (* x 9.0))
85.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
110.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.7s

Counts
197 → 197
Iterations
IterNodes
done5001
22146
1733
0281

prune559.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite669.0ms

Algorithm
rewrite-expression-head
Rules
255×distribute-rgt-in distribute-lft-in
198×*-un-lft-identity
168×prod-diff
115×add-sqr-sqrt
109×add-cube-cbrt
43×distribute-lft-out
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
8×associate-*r*
4×expm1-log1p-u sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod times-frac flip3-- *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares
Counts
4 → 323
Calls
4 calls:
6.0ms
(/ 1.0 (* x 9.0))
139.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
364.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
152.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ 1.0 (* x 9.0))
68.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
115.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
170.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify2.2s

Counts
335 → 335
Iterations
IterNodes
done5026
23696
11373
0444

prune524.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes131.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.5s8533×body80valid
1.1s8385×body80nan