Details

Time bar (total: 11.4s)

sample34.0ms

Algorithm
intervals
Results
18.0ms306×body80valid

simplify1.6s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) 1.0)
0.1b
(* x (+ (/ x y) 1.0))
11.8b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-/r* flip3-+ times-frac associate-*r* associate-*r/ flip-+ distribute-lft-out
3×associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×distribute-rgt-in +-commutative clear-num sum-log frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
18.0ms
(+ (/ x y) 1.0)
54.0ms
(* x (+ (/ x y) 1.0))
34.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series114.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (/ x y) 1.0)
36.0ms
(* x (+ (/ x y) 1.0))
61.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.1s

Counts
71 → 71
Iterations
IterNodes
done5002
21870
1327
0106

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
22×associate-*r*
19×distribute-lft-out
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×associate-/r* flip3-+ associate-/r/ flip-+ associate-/l*
3×associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
3 → 93
Calls
3 calls:
20.0ms
(+ (/ x y) 1.0)
63.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
84.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (/ x y) 1.0)
47.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
64.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify1.1s

Counts
102 → 102
Iterations
IterNodes
done5001
21877
1372
0131

prune433.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
158×*-un-lft-identity
146×times-frac
72×add-sqr-sqrt add-cube-cbrt
43×distribute-lft-out
26×associate-/r*
11×associate-/r/
10×add-cbrt-cube add-exp-log
7×flip3-+ flip-+ associate-/l*
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg associate-/l/
1×+-commutative sum-log
Counts
3 → 158
Calls
3 calls:
21.0ms
(+ (/ x y) 1.0)
35.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
41.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series165.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (/ x y) 1.0)
66.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
86.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.4s

Counts
167 → 167
Iterations
IterNodes
done5000
23176
1568
0210

prune669.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
16.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.3s

Counts
4 → 12
Calls
4 calls:
279.0ms
(* (cbrt x) (cbrt x))
247.0ms
(cbrt x)
255.0ms
(cbrt x)
567.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5000
2727
1138
061

prune368.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.1b 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

sample652.0ms

Algorithm
intervals
Results
474.0ms9118×body80valid