Details

Time bar (total: 17.4s)

sample50.0ms

Algorithm
intervals
Results
18.0ms273×body80valid
11.0ms271×body80nan

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5001
61794
5791
4440
3188
264
124
012

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

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 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 → 119
Calls
4 calls:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
207.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series206.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ y (/ 1.0 (* x 9.0)))
94.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
53.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.6s

Counts
131 → 131
Iterations
IterNodes
done5000
23913
1656
0230

prune607.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
49×*-un-lft-identity
48×times-frac
47×add-cube-cbrt
33×associate-*r*
28×sqrt-prod
26×associate-*l*
23×add-cbrt-cube add-exp-log
18×prod-diff
13×pow1
12×distribute-rgt-in distribute-lft-in
11×unswap-sqr
8×prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×expm1-log1p-u cbrt-undiv div-exp log1p-expm1-u
3×fma-def associate-*r/ *-commutative
2×sub-neg associate--l+ div-inv
1×frac-times +-commutative sum-log flip3-+ flip3-- associate-*l/ flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 163
Calls
4 calls:
9.0ms
(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
87.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
16.0ms
(* 3.0 (sqrt x))
50.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

series562.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0)))
222.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))) 1.0))
48.0ms
(* 3.0 (sqrt x))
133.0ms
(* (/ (sqrt 1.0) x) (/ (sqrt 1.0) 9.0))

simplify528.0ms

Counts
175 → 175
Iterations
IterNodes
done5000
1971
0318

prune846.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
22×add-sqr-sqrt
18×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×associate-*r/
11×pow1 associate-+r+
9×associate-*l* prod-diff add-log-exp
7×fma-def
6×times-frac associate-*r* frac-add
5×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down sqrt-prod log1p-expm1-u distribute-lft-out
3×flip3-+ flip3-- flip-+ flip-- associate-/l*
2×cbrt-undiv sum-log div-exp *-commutative div-inv distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-+r- associate-/r* sub-neg frac-2neg diff-log
Counts
4 → 120
Calls
4 calls:
52.0ms
(+ (/ 1.0 (* x 9.0)) (- y 1.0))
144.0ms
(* (sqrt x) (+ (/ 1.0 (* x 9.0)) (- y 1.0)))
81.0ms
(* 3.0 (* (sqrt x) (+ (/ 1.0 (* x 9.0)) (- y 1.0))))
12.0ms
(/ 1.0 (* x 9.0))

series290.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (/ 1.0 (* x 9.0)) (- y 1.0))
106.0ms
(* (sqrt x) (+ (/ 1.0 (* x 9.0)) (- y 1.0)))
112.0ms
(* 3.0 (* (sqrt x) (+ (/ 1.0 (* x 9.0)) (- y 1.0))))
32.0ms
(/ 1.0 (* x 9.0))

simplify1.5s

Counts
132 → 132
Iterations
IterNodes
done5001
23268
1622
0214

prune723.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0)))
0.2b
(* 3.0 (sqrt x))
0.4b
(* (sqrt x) (* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0))))
0.4b
(/ (/ 1.0 9.0) x)

rewrite867.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
63×*-un-lft-identity
59×add-sqr-sqrt
53×add-cube-cbrt
18×add-cbrt-cube add-exp-log
14×associate-*r*
13×pow1 associate-/l*
12×associate-*l*
7×sqrt-prod
6×associate-*r/ distribute-lft-out
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* div-exp *-commutative unswap-sqr
2×distribute-rgt-neg-in flip3-+ flip-+
1×clear-num frac-2neg associate-/l/
Counts
4 → 153
Calls
4 calls:
431.0ms
(* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0)))
12.0ms
(* 3.0 (sqrt x))
400.0ms
(* (sqrt x) (* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0))))
19.0ms
(/ (/ 1.0 9.0) x)

series253.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0)))
61.0ms
(* 3.0 (sqrt x))
121.0ms
(* (sqrt x) (* 3.0 (+ (+ y (/ (/ 1.0 9.0) x)) (- 1.0))))
24.0ms
(/ (/ 1.0 9.0) x)

simplify1.6s

Counts
165 → 165
Iterations
IterNodes
done5001
23768
1786
0292

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes236.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations
IterNodes
done51
451
349
237
128
018

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8552×body80valid
655.0ms8688×body80nan