Details

Time bar (total: 15.4s)

sample74.0ms

Algorithm
intervals
Results
20.0ms288×body80nan
19.0ms269×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
61492
5656
4371
3180
264
124
012

prune10.0ms

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
(* (* 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))

rewrite189.0ms

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:
20.0ms
(+ y (/ 1.0 (* x 9.0)))
150.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(* 3.0 (sqrt x))
7.0ms
(/ 1.0 (* x 9.0))

series193.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ y (/ 1.0 (* x 9.0)))
76.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
52.0ms
(* 3.0 (sqrt x))
19.0ms
(/ 1.0 (* x 9.0))

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
done5001
22624
1483
0178

prune600.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite428.0ms

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:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
233.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
176.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
7.0ms
(/ 1.0 (* x 9.0))

series286.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(+ y (/ 1.0 (* x 9.0)))
89.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
119.0ms
(* 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
IterNodes
done5000
22104
1459
0177

prune646.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube add-exp-log
11×add-cube-cbrt
9×associate-*l*
8×pow1 associate-*r*
6×add-log-exp
4×associate-*r/ sqrt-prod
3×distribute-rgt-in distribute-lft-in flip3-+ times-frac prod-exp cbrt-unprod flip-+ distribute-lft-out associate-/l* unswap-sqr
2×cbrt-undiv associate-+l+ div-exp pow-prod-down *-commutative distribute-rgt-neg-out
1×+-commutative clear-num associate-/r* sum-log frac-2neg unsub-neg div-inv
Counts
4 → 87
Calls
4 calls:
31.0ms
(+ (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))) (* (sqrt x) (- 1.0)))
79.0ms
(* 3.0 (+ (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))) (* (sqrt x) (- 1.0))))
38.0ms
(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
18.0ms
(/ 1.0 (* x 9.0))

series427.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(+ (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))) (* (sqrt x) (- 1.0)))
180.0ms
(* 3.0 (+ (* (sqrt x) (+ y (/ 1.0 (* x 9.0)))) (* (sqrt x) (- 1.0))))
69.0ms
(* (sqrt x) (+ y (/ 1.0 (* x 9.0))))
24.0ms
(/ 1.0 (* x 9.0))

simplify1.5s

Counts
99 → 99
Iterations
IterNodes
done5001
22667
1509
0170

prune580.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×associate-*l* sqrt-prod
18×add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×pow1
8×associate-*r* associate-*r/
6×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
5×pow-prod-down
4×add-log-exp unswap-sqr
3×flip3-+ times-frac *-commutative flip-+ associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg div-inv distribute-lft-out
Counts
4 → 104
Calls
4 calls:
213.0ms
(* 3.0 (+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0))))) (* (sqrt x) (- 1.0))))
64.0ms
(* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
65.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0)))))
8.0ms
(/ 1.0 (* x 9.0))

series505.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* 3.0 (+ (* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0))))) (* (sqrt x) (- 1.0))))
233.0ms
(* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0))))
89.0ms
(* (sqrt (sqrt x)) (* (sqrt (sqrt x)) (+ y (/ 1.0 (* x 9.0)))))
25.0ms
(/ 1.0 (* x 9.0))

simplify1.9s

Counts
116 → 116
Iterations
IterNodes
done5001
23550
1639
0215

prune632.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done30
330
229
125
016

end0.0ms

sample2.0s

Algorithm
intervals
Results
913.0ms8465×body80nan
518.0ms8560×body80valid