Details

Time bar (total: 13.3s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done5
15
04

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite18.0ms

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:
16.0ms
(/ x (+ x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(/ x (+ x y))

simplify2.3s

Counts
37 → 37
Iterations
IterNodes
done5002
31738
2392
1129
060

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.6b
(/ 1 (/ (+ x y) x))

rewrite31.0ms

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:
17.0ms
(/ (+ x y) x)
11.0ms
(/ 1 (/ (+ x y) x))

series137.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (+ x y) x)
85.0ms
(/ 1 (/ (+ x y) x))

simplify2.5s

Counts
129 → 129
Iterations
IterNodes
done5027
33909
21134
1390
0158

prune432.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (+ x y))
0.7b
(cbrt (+ x y))
0.7b
(cbrt (+ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×flip3-+ flip-+ distribute-lft-out
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series978.0ms

Counts
4 → 12
Calls
4 calls:
311.0ms
(cbrt x)
236.0ms
(cbrt (+ x y))
227.0ms
(cbrt (+ x y))
203.0ms
(cbrt (+ x y))

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
done5005
42727
3929
2362
1147
071

prune407.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))
0.1b
(* (/ (+ y x) x) (/ (+ y x) x))
0.6b
(/ 1 (cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))))
14.7b
(cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x))))

rewrite165.0ms

Algorithm
rewrite-expression-head
Rules
105×*-un-lft-identity
89×times-frac
72×add-sqr-sqrt
61×add-exp-log
58×add-cbrt-cube
57×add-cube-cbrt
32×associate-*l*
26×pow1
22×swap-sqr prod-exp cbrt-unprod
21×distribute-lft-out
19×div-exp
18×cbrt-undiv
17×associate-*r*
16×frac-times associate-*r/
14×cbrt-div
10×associate-*l/
7×associate-/r/
6×pow-prod-up div-inv unswap-sqr
5×cbrt-prod
4×associate-/r* pow-prod-down insert-posit16 add-log-exp
3×associate-/l*
2×pow2 pow-plus pow1/3 cube-unmult pow-sqr *-commutative pow-flip
1×rec-exp clear-num frac-2neg 1-exp rem-cbrt-cube inv-pow
Counts
4 → 207
Calls
4 calls:
60.0ms
(* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))
39.0ms
(* (/ (+ y x) x) (/ (+ y x) x))
9.0ms
(/ 1 (cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))))
53.0ms
(cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x))))

series197.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))
39.0ms
(* (/ (+ y x) x) (/ (+ y x) x))
82.0ms
(/ 1 (cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x)))))
26.0ms
(cbrt (* (/ (+ y x) x) (* (/ (+ y x) x) (/ (+ y x) x))))

simplify2.4s

Counts
219 → 219
Iterations
IterNodes
done5010
22547
1721
0246

prune664.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done5
15
04

end0.0ms

sample628.0ms

Algorithm
intervals
Results
449.0ms8000×body80valid