Details

Time bar (total: 19.8s)

sample69.0ms

Algorithm
intervals
Results
20.0ms288×body80nan
18.0ms269×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012285
124285
264285
3188285
4440285
5791285
61794285
done5001285

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

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

rewrite179.0ms

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:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
142.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
13.0ms
(* 3.0 (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
72.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
57.0ms
(* 3.0 (sqrt x))
24.0ms
(/ 1.0 (* x 9.0))

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.0s)

IterNodesCost
023043987
165638976
2391333780
done500033690

prune531.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 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)))
0.4b
(/ 1.0 (* x 9.0))

rewrite479.0ms

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 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 → 181
Calls
4 calls:
13.0ms
(+ y (/ 1.0 (* x 9.0)))
213.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
232.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
9.0ms
(/ 1.0 (* x 9.0))

series241.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
83.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
92.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
25.0ms
(/ 1.0 (* x 9.0))

simplify2.1s

Counts
193 → 193
Iterations

Useful iterations: done (2.1s)

IterNodesCost
027787932
173179007
2371864751
done500064601

prune564.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (/ 1.0 x) 9.0))
0.3b
(/ (/ 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)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
99×add-sqr-sqrt
93×add-cube-cbrt
75×distribute-rgt-in distribute-lft-in times-frac
72×prod-diff
20×distribute-lft-out
16×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×div-inv
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u
3×cbrt-undiv associate-/r* fma-def div-exp
2×flip3-- *-commutative flip-- distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ difference-of-squares associate-/l/
Counts
4 → 230
Calls
4 calls:
25.0ms
(+ y (/ (/ 1.0 x) 9.0))
9.0ms
(/ (/ 1.0 x) 9.0)
489.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
477.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series499.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ (/ 1.0 x) 9.0))
313.0ms
(/ (/ 1.0 x) 9.0)
61.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
86.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify2.2s

Counts
242 → 242
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0378105057
1100296718
2477382309
done500082189

prune818.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite966.0ms

Algorithm
rewrite-expression-head
Rules
255×distribute-rgt-in distribute-lft-in
201×*-un-lft-identity
168×prod-diff
120×add-sqr-sqrt
112×add-cube-cbrt
43×distribute-lft-out
25×add-cbrt-cube add-exp-log
21×associate-*l* sqrt-prod
20×pow1
14×sub-neg associate--l+
12×associate-*r/
11×prod-exp cbrt-unprod
10×pow-prod-down
8×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac flip3-- *-commutative flip-- associate-/l* unswap-sqr
2×cbrt-undiv div-exp distribute-lft-out--
1×clear-num associate-/r* frac-2neg div-inv difference-of-squares
Counts
4 → 319
Calls
4 calls:
234.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
501.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
196.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
8.0ms
(/ 1.0 (* x 9.0))

series306.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
86.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
85.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
30.0ms
(/ 1.0 (* x 9.0))

simplify1.6s

Counts
331 → 331
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0433214396
11261196118
done5000134056

prune863.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes209.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012285
115285
done15285

end0.0ms

sample1.6s

Algorithm
intervals
Results
661.0ms8560×body80valid
561.0ms8465×body80nan