Details

Time bar (total: 19.9s)

sample57.0ms

Algorithm
intervals
Results
23.0ms304×body80nan
12.0ms277×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
94385
81130
7455
6200
5134
498
373
247
124
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* 9.0 x))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×*-un-lft-identity add-cbrt-cube add-exp-log
11×add-cube-cbrt
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×cbrt-undiv div-exp sqrt-prod
3×diff-log associate-*l* prod-exp cbrt-unprod distribute-lft-out--
2×clear-num associate-/r* sub-neg frac-2neg flip3-- associate--l+ frac-sub div-inv flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative difference-of-squares
Counts
4 → 85
Calls
4 calls:
134.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ y (* 3.0 (sqrt x))))
8.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(* 3.0 (sqrt x))
6.0ms
(/ 1.0 (* 9.0 x))

series238.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ y (* 3.0 (sqrt x))))
85.0ms
(/ y (* 3.0 (sqrt x)))
69.0ms
(* 3.0 (sqrt x))
23.0ms
(/ 1.0 (* 9.0 x))

simplify992.0ms

Counts
97 → 97
Iterations
IterNodes
done5001
22250
1532
0216

prune500.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b
(/ y (sqrt x))
0.3b
(* (/ 1 3.0) (/ y (sqrt x)))
0.5b
(/ 1.0 (* 9.0 x))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×times-frac
44×*-un-lft-identity
41×add-cube-cbrt
33×add-exp-log
24×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
13×associate-*l*
11×div-exp
9×prod-exp add-log-exp unswap-sqr
7×cbrt-undiv associate-/r*
6×pow1 frac-sub associate-/l*
5×cbrt-unprod
4×flip3-- div-inv flip--
3×frac-times diff-log associate-*l/ associate-*r/
2×rec-exp clear-num sub-neg frac-2neg 1-exp associate--l+
1×associate--l- pow-prod-down *-commutative
Counts
4 → 150
Calls
4 calls:
133.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
5.0ms
(/ y (sqrt x))
38.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
12.0ms
(/ 1.0 (* 9.0 x))

series264.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (- 1.0 (/ 1.0 (* 9.0 x))) (* (/ 1 3.0) (/ y (sqrt x))))
47.0ms
(/ y (sqrt x))
104.0ms
(* (/ 1 3.0) (/ y (sqrt x)))
33.0ms
(/ 1.0 (* 9.0 x))

simplify2.1s

Counts
162 → 162
Iterations
IterNodes
done5001
24280
1813
0297

prune866.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
134×*-un-lft-identity
122×add-sqr-sqrt add-cube-cbrt
42×sqrt-prod
26×associate-/l*
13×add-cbrt-cube add-exp-log div-inv
9×associate-/r*
6×cbrt-undiv div-exp
5×add-log-exp
3×pow1 distribute-lft-out
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log flip3-+ frac-add flip-+
Counts
3 → 197
Calls
3 calls:
215.0ms
(+ (/ (/ y 3.0) (sqrt x)) (/ (/ 1.0 9.0) x))
19.0ms
(/ (/ y 3.0) (sqrt x))
9.0ms
(/ (/ 1.0 9.0) x)

series189.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (/ (/ y 3.0) (sqrt x)) (/ (/ 1.0 9.0) x))
94.0ms
(/ (/ y 3.0) (sqrt x))
29.0ms
(/ (/ 1.0 9.0) x)

simplify1.6s

Counts
206 → 206
Iterations
IterNodes
done5000
24330
1994
0397

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt 1.0) (* (cbrt 9.0) x))
0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(* (/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0)) (/ (sqrt 1.0) (* (cbrt 9.0) x)))
1.0b
(/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
1119×times-frac
616×add-sqr-sqrt
576×*-un-lft-identity add-cube-cbrt
486×cbrt-prod
289×sqrt-prod
244×associate-*l*
59×associate-/l*
55×add-exp-log
39×add-cbrt-cube
25×div-inv
23×cbrt-undiv div-exp
13×associate-/r* prod-exp cbrt-unprod
11×unswap-sqr
10×associate-*r*
6×pow1
4×add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 735
Calls
4 calls:
8.0ms
(/ (sqrt 1.0) (* (cbrt 9.0) x))
11.0ms
(/ (/ y 3.0) (sqrt x))
145.0ms
(* (/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0)) (/ (sqrt 1.0) (* (cbrt 9.0) x)))
23.0ms
(/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0))

series463.0ms

Counts
4 → 10
Calls
4 calls:
126.0ms
(/ (sqrt 1.0) (* (cbrt 9.0) x))
85.0ms
(/ (/ y 3.0) (sqrt x))
251.0ms
(* (/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0)) (/ (sqrt 1.0) (* (cbrt 9.0) x)))
0.0ms
(/ (/ (sqrt 1.0) (cbrt 9.0)) (cbrt 9.0))

simplify1.1s

Counts
745 → 745
Iterations
IterNodes
done5001
12149
0765

prune5.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done18
118
014

end0.0ms

sample2.2s

Algorithm
intervals
Results
820.0ms8861×body80nan
682.0ms8534×body80valid