Details

Time bar (total: 10.4s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite16.0ms

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×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
15.0ms
(/ x (+ x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ x (+ x y))

simplify2.4s

Counts
37 → 37
Iterations
IterNodes
done5000
32166
2414
1129
060

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.2b
(/ 1 (/ (+ x y) x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
2 → 123
Calls
2 calls:
26.0ms
(/ (+ x y) x)
10.0ms
(/ 1 (/ (+ x y) x))

series115.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (+ x y) x)
77.0ms
(/ 1 (/ (+ x y) x))

simplify1.0s

Counts
129 → 129
Iterations
IterNodes
done5001
21843
1401
0158

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
12.9b
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

rewrite174.0ms

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×associate-/r* pow-prod-down insert-posit16 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 → 209
Calls
4 calls:
12.0ms
(/ x (+ x y))
77.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
35.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
43.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

series346.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ x (+ x y))
110.0ms
(* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y)))
96.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
75.0ms
(cbrt (* (* (/ x (+ x y)) (/ x (+ x y))) (/ x (+ x y))))

simplify911.0ms

Counts
221 → 221
Iterations
IterNodes
done5001
1722
0203

prune847.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
12.9b
(cbrt (* (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y)))) (/ x (+ x y))))

rewrite874.0ms

Algorithm
rewrite-expression-head
Rules
17×frac-times associate-*l/
15×cbrt-div
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity associate-*r/ add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
869.0ms
(cbrt (* (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y)))) (/ x (+ x y))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt x)
280.0ms
(cbrt x)
276.0ms
(cbrt x)
72.0ms
(cbrt (* (* (* (/ x (+ x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y))))) (/ (cbrt x) (cbrt (+ x y)))) (/ x (+ x y))))

simplify1.0s

Counts
73 → 73
Iterations
IterNodes
done5000
21182
1285
0111

prune419.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample620.0ms

Algorithm
intervals
Results
439.0ms8000×body80valid