Details

Time bar (total: 17.5s)

sample74.0ms

Algorithm
intervals
Results
23.0ms288×body80nan
20.0ms269×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012285
124285
264285
3180285
4371285
5656285
61492285
done5000285

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

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))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out 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 → 84
Calls
4 calls:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
197.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))

series233.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
118.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
55.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify2.0s

Counts
96 → 96
Iterations

Useful iterations: done (2.0s)

IterNodesCost
017823343
148320521
2262419956
done500119876

prune517.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
180.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
201.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
11.0ms
(/ 1.0 (* x 9.0))

series253.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ y (/ 1.0 (* x 9.0)))
102.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
91.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
25.0ms
(/ 1.0 (* x 9.0))

simplify1.4s

Counts
110 → 110
Iterations

Useful iterations: done (1.4s)

IterNodesCost
017731220
145928812
2210428369
done500028209

prune595.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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)))

rewrite823.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
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×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv associate-/r* div-exp
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip-+ difference-of-squares associate-/l/
Counts
4 → 147
Calls
4 calls:
22.0ms
(+ y (/ (/ 1.0 x) 9.0))
9.0ms
(/ (/ 1.0 x) 9.0)
474.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
313.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ (/ 1.0 x) 9.0))
24.0ms
(/ (/ 1.0 x) 9.0)
89.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
109.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify1.9s

Counts
159 → 159
Iterations

Useful iterations: done (1.9s)

IterNodesCost
027848345
173044843
2337444279
done500244119

prune642.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite903.0ms

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
25×add-cbrt-cube add-exp-log
22×add-sqr-sqrt
21×associate-*l* sqrt-prod
20×pow1
19×*-un-lft-identity
14×sub-neg associate--l+ add-cube-cbrt
12×associate-*r/
11×prod-exp cbrt-unprod
10×pow-prod-down
8×associate-*r*
4×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 distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
207.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
483.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
203.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
6.0ms
(/ 1.0 (* x 9.0))

series344.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
93.0ms
(* 3.0 (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
104.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
18.0ms
(/ 1.0 (* x 9.0))

simplify2.0s

Counts
155 → 155
Iterations

Useful iterations: done (1.9s)

IterNodesCost
023560596
163557516
2337748476
done500047996

prune620.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012285
115285
done15285

end0.0ms

sample1.8s

Algorithm
intervals
Results
856.0ms8465×body80nan
575.0ms8560×body80valid