Details

Time bar (total: 15.0s)

sample40.0ms

Algorithm
intervals
Results
18.0ms287×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
143876
131400
12529
11242
10137
9133
8125
7109
678
566
452
341
228
119
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×associate-*r*
16×add-sqr-sqrt
13×times-frac
11×add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×distribute-lft-out
4×pow1 flip3-+ associate-*l* flip-+ add-log-exp
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative sum-log div-exp pow-prod-down associate-*r/ *-commutative div-inv
Counts
2 → 54
Calls
2 calls:
12.0ms
(+ (/ x y) 1.0)
61.0ms
(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (/ x y) 1.0)
75.0ms
(* (+ (/ x y) 1.0) (/ x (+ 1.0 x)))

simplify1.1s

Counts
60 → 60
Iterations
IterNodes
done5002
22179
1334
0112

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ x (+ 1.0 x)))
0.0b
(+ 1.0 (/ x y))
0.0b
(* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y)))
0.1b
(* (* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y))) (sqrt (/ x (+ 1.0 x))))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
56×sqrt-prod
53×*-un-lft-identity
41×add-sqr-sqrt
38×times-frac
31×add-cube-cbrt
25×associate-*r*
22×associate-*l*
16×sqrt-div
12×pow1
11×frac-times add-cbrt-cube add-exp-log distribute-lft-out
10×flip3-+ flip-+
8×associate-*l/
7×associate-*r/
6×associate-/r/ add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
3×div-inv unswap-sqr
2×rem-sqrt-square *-commutative
1×distribute-rgt-in +-commutative sum-log distribute-lft-in sqrt-pow1 pow1/2
Counts
4 → 135
Calls
4 calls:
17.0ms
(sqrt (/ x (+ 1.0 x)))
17.0ms
(+ 1.0 (/ x y))
92.0ms
(* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y)))
142.0ms
(* (* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y))) (sqrt (/ x (+ 1.0 x))))

series293.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(sqrt (/ x (+ 1.0 x)))
23.0ms
(+ 1.0 (/ x y))
92.0ms
(* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y)))
83.0ms
(* (* (sqrt (/ x (+ 1.0 x))) (+ 1.0 (/ x y))) (sqrt (/ x (+ 1.0 x))))

simplify1.9s

Counts
147 → 147
Iterations
IterNodes
done5000
23619
1650
0218

prune695.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(* x (- (/ x (/ y (/ x y))) (* 1.0 1.0)))
3.0b
(/ x (/ y (/ x y)))
4.0b
(/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x))
13.0b
(/ (/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x)) (- (/ x y) 1.0))

rewrite634.0ms

Algorithm
rewrite-expression-head
Rules
505×times-frac
285×add-sqr-sqrt
258×*-un-lft-identity
218×add-cube-cbrt
54×associate-/r*
29×add-cbrt-cube add-exp-log
27×difference-of-squares
26×div-inv
24×associate-/r/
14×associate-/l*
13×cbrt-undiv div-exp
11×distribute-lft-out--
9×distribute-lft-out
8×flip3-+ associate-*r* flip-+
6×pow1
4×associate-*r/ add-log-exp
3×clear-num frac-2neg flip3-- associate-*l* prod-exp cbrt-unprod flip-- associate-/l/
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 347
Calls
4 calls:
344.0ms
(* x (- (/ x (/ y (/ x y))) (* 1.0 1.0)))
15.0ms
(/ x (/ y (/ x y)))
101.0ms
(/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x))
155.0ms
(/ (/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x)) (- (/ x y) 1.0))

series386.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* x (- (/ x (/ y (/ x y))) (* 1.0 1.0)))
45.0ms
(/ x (/ y (/ x y)))
121.0ms
(/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x))
131.0ms
(/ (/ (* x (- (/ x (/ y (/ x y))) (* 1.0 1.0))) (+ 1.0 x)) (- (/ x y) 1.0))

simplify1.3s

Counts
359 → 359
Iterations
IterNodes
done5000
12004
0677

prune2.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ x (/ y x)))
0.1b
(/ x (/ y x))
4.8b
(/ (pow x 3) y)
5.2b
(- (+ x (/ x (/ y x))) (/ (pow x 3) y))

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac
84×add-sqr-sqrt
79×*-un-lft-identity
71×add-cube-cbrt
16×associate-/r*
15×associate-/l*
14×add-exp-log
13×unpow-prod-down cube-prod
11×add-cbrt-cube add-log-exp
6×div-exp div-inv
5×difference-of-squares sqr-pow
4×cube-mult pow1 cbrt-undiv unpow3
3×associate-/r/
2×clear-num sum-log frac-2neg flip3-+ diff-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×pow-to-exp +-commutative sub-neg distribute-rgt-out flip3-- distribute-rgt1-in pow-exp associate--l+ flip--
Counts
4 → 172
Calls
4 calls:
23.0ms
(+ x (/ x (/ y x)))
7.0ms
(/ x (/ y x))
8.0ms
(/ (pow x 3) y)
229.0ms
(- (+ x (/ x (/ y x))) (/ (pow x 3) y))

series107.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ x (/ x (/ y x)))
24.0ms
(/ x (/ y x))
24.0ms
(/ (pow x 3) y)
35.0ms
(- (+ x (/ x (/ y x))) (/ (pow x 3) y))

simplify2.5s

Counts
184 → 184
Iterations
IterNodes
done5001
24574
1700
0280

prune550.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample659.0ms

Algorithm
intervals
Results
427.0ms9176×body80valid