Details

Time bar (total: 9.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
9.0ms
(/ x (+ y x))

series48.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(/ x (+ y x))

simplify1.9s

Counts
38 → 38
Iterations
IterNodes
done5004
32175
2423
1131
061

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
8.6b
(cbrt (/ x (+ y x)))
8.6b
(cbrt (/ x (+ y x)))
8.6b
(cbrt (/ x (+ y x)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
57.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
14.0ms
(cbrt (/ x (+ y x)))
9.0ms
(cbrt (/ x (+ y x)))
8.0ms
(cbrt (/ x (+ y x)))

series852.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x))))
197.0ms
(cbrt (/ x (+ y x)))
206.0ms
(cbrt (/ x (+ y x)))
222.0ms
(cbrt (/ x (+ y x)))

simplify2.0s

Counts
200 → 200
Iterations
IterNodes
done5000
21181
1293
0167

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ y x))
0.0b
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
0.1b
(* (/ x (+ y x)) (/ x (+ y x)))
14.9b
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
113×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
59×add-cbrt-cube add-exp-log
57×add-cube-cbrt
36×associate-*r*
30×pow1
25×distribute-lft-out
24×swap-sqr
22×prod-exp cbrt-unprod
19×associate-*l*
18×cbrt-undiv div-exp
12×associate-/r/
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×flip3-+ flip-+ div-inv unswap-sqr
4×expm1-log1p-u associate-/r* pow-prod-down log1p-expm1-u add-log-exp
3×pow2 pow-sqr associate-/l*
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 213
Calls
4 calls:
16.0ms
(/ x (+ y x))
129.0ms
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
50.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
72.0ms
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

series366.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ x (+ y x))
156.0ms
(* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x)))
89.0ms
(* (/ x (+ y x)) (/ x (+ y x)))
64.0ms
(cbrt (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))))

simplify1.1s

Counts
225 → 225
Iterations
IterNodes
done5001
1726
0207

prune887.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample530.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid