Details

Time bar (total: 19.1s)

sample93.0ms

Algorithm
intervals
Results
38.0ms270×body80valid
32.0ms286×body80nan

simplify4.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

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:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
8.0ms
(/ 1.0 (* x 9.0))
257.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
15.0ms
(* 3.0 (sqrt x))

series209.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ 1.0 (* x 9.0)))
32.0ms
(/ 1.0 (* x 9.0))
86.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
42.0ms
(* 3.0 (sqrt x))

simplify1.6s

Counts
135 → 135
Iterations
IterNodes
done5003
22049
1656
0234

prune532.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite246.0ms

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:
17.0ms
(+ y (/ (/ 1.0 x) 9.0))
15.0ms
(/ (/ 1.0 x) 9.0)
200.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
10.0ms
(* 3.0 (sqrt x))

series232.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ y (/ (/ 1.0 x) 9.0))
33.0ms
(/ (/ 1.0 x) 9.0)
98.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
53.0ms
(* 3.0 (sqrt x))

simplify1.8s

Counts
184 → 184
Iterations
IterNodes
done5000
22536
1895
0334

prune740.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite515.0ms

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:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
6.0ms
(/ 1.0 (* x 9.0))
249.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
247.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
28.0ms
(/ 1.0 (* x 9.0))
85.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
97.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.4s

Counts
197 → 197
Iterations
IterNodes
done5001
22146
1733
0281

prune590.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ 1.0 x) (/ 1 9.0)))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
0.3b
(* 3.0 (sqrt x))
0.4b
(* (/ 1.0 x) (/ 1 9.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
39×*-un-lft-identity
35×add-cube-cbrt
33×add-exp-log
25×times-frac
24×associate-*r*
23×add-cbrt-cube
18×prod-diff
17×associate-*l*
13×pow1
12×distribute-rgt-in distribute-lft-in prod-exp
8×div-exp cbrt-unprod unswap-sqr
6×add-log-exp
5×pow-prod-down
4×expm1-log1p-u cbrt-undiv sqrt-prod insert-posit16 log1p-expm1-u
3×fma-def associate-*r/ *-commutative
2×rec-exp sub-neg 1-exp associate--l+ div-inv
1×frac-times +-commutative sum-log flip3-+ flip3-- associate-*l/ un-div-inv flip-+ flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 151
Calls
4 calls:
9.0ms
(+ y (* (/ 1.0 x) (/ 1 9.0)))
78.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
7.0ms
(* 3.0 (sqrt x))
13.0ms
(* (/ 1.0 x) (/ 1 9.0))

series250.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (* (/ 1.0 x) (/ 1 9.0)))
103.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1.0 x) (/ 1 9.0))) 1.0))
64.0ms
(* 3.0 (sqrt x))
34.0ms
(* (/ 1.0 x) (/ 1 9.0))

simplify2.3s

Counts
163 → 163
Iterations
IterNodes
done5004
22687
1885
0301

prune532.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample2.2s

Algorithm
intervals
Results
955.0ms8564×body80nan
879.0ms8502×body80valid