Details

Time bar (total: 10.7s)

sample24.0ms

Algorithm
intervals
Results
11.0ms291×body80valid

simplify1.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
7.6b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 associate-/r* times-frac associate-*r* associate-*r/
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
60.0ms
(* x (+ (/ x y) 1.0))
40.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* x (+ (/ x y) 1.0))
48.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.2s

Counts
56 → 56
Iterations
IterNodes
done5000
21865
1322
0102

prune244.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp associate-/l/
Counts
2 → 146
Calls
2 calls:
30.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
33.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series119.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
71.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.1s

Counts
152 → 152
Iterations
IterNodes
done5002
23175
1563
0206

prune642.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-cbrt-cube add-exp-log
8×distribute-lft-out
4×pow1 associate-/r* flip3-+ associate-*r* associate-/r/ flip-+
3×associate-/l*
2×frac-times cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod div-inv add-log-exp unswap-sqr
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative
Counts
2 → 77
Calls
2 calls:
12.0ms
(/ x (+ x 1.0))
87.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series107.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x (+ x 1.0))
61.0ms
(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.5s

Counts
83 → 83
Iterations
IterNodes
done5001
22877
1502
0140

prune410.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.3b
(* (/ x y) (/ x y))
1.4b
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
9.3b
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
73×times-frac
70×*-un-lft-identity
52×add-cube-cbrt
32×add-cbrt-cube add-exp-log
31×associate-*l*
17×associate-*r*
13×pow1 swap-sqr
10×cbrt-undiv associate-/r* div-exp
8×prod-exp cbrt-unprod
7×div-inv distribute-lft-out
6×associate-/r/ unswap-sqr
5×frac-times flip3-- associate-*r/ flip-- difference-of-squares associate-/l/
4×associate-/l* add-log-exp
3×associate-*l/
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in flip3-+ pow-prod-down *-commutative flip-+ distribute-lft-out--
1×pow2 pow-plus pow-sqr pow-prod-up
Counts
4 → 182
Calls
4 calls:
13.0ms
(/ x (+ x 1.0))
23.0ms
(* (/ x y) (/ x y))
99.0ms
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
80.0ms
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

series276.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ x (+ x 1.0))
31.0ms
(* (/ x y) (/ x y))
85.0ms
(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
107.0ms
(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

simplify1.0s

Counts
194 → 194
Iterations
IterNodes
done5001
11005
0303

prune921.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
798.0ms9153×body80valid