Details

Time bar (total: 11.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x 1.0) (- 1.0 x))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify2.2s

Counts
48 → 48
Iterations

Useful iterations: 3 (276.0ms)

IterNodesCost
091630
1206607
2532569
31288560
43467560
done5001560

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×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×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
59.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series560.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (/ (+ x 1.0) (- 1.0 x))) (cbrt (/ (+ x 1.0) (- 1.0 x))))
136.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
135.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
133.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify1.9s

Counts
256 → 256
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02235634
13985239
211275081
333284768
done50004750

prune501.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b
(cbrt (/ (+ x 1.0) (- 1.0 x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
104×cbrt-prod
80×times-frac
78×add-sqr-sqrt
46×add-cube-cbrt
30×log-pow
29×exp-prod
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
8×associate-/r/
5×pow1
4×add-exp-log flip3-- add-cbrt-cube flip-- div-inv add-log-exp
3×cbrt-div log-prod pow1/3
1×rem-log-exp
Counts
4 → 146
Calls
4 calls:
23.0ms
(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
8.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
5.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

series535.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(log (exp (cbrt (/ (+ x 1.0) (- 1.0 x)))))
134.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
131.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))
135.0ms
(cbrt (/ (+ x 1.0) (- 1.0 x)))

simplify1.1s

Counts
158 → 158
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01782618
12792405
25702288
314882244
done50002200

prune396.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
0.0b
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
513×cbrt-prod
313×*-un-lft-identity
197×add-sqr-sqrt
192×times-frac
93×add-cube-cbrt
54×swap-sqr
53×distribute-lft-out
44×distribute-lft-out--
32×associate-*r* associate-*l* difference-of-squares
16×unswap-sqr
14×cbrt-div associate-/r/
11×pow1
9×pow1/3
7×flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 269
Calls
4 calls:
6.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
9.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
6.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
69.0ms
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
132.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
134.0ms
(cbrt (cbrt (/ (+ x 1.0) (- 1.0 x))))
156.0ms
(* (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))) (cbrt (cbrt (/ (+ x 1.0) (- 1.0 x)))))

simplify2.0s

Counts
281 → 281
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02766948
14466515
211806339
334095926
done50005902

prune724.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
11228
done1228

end0.0ms

sample230.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid