Details

Time bar (total: 11.3s)

sample35.0ms

Algorithm
intervals
Results
12.0ms70×body640valid
7.0ms142×body80valid
3.0ms27×body320valid
2.0ms17×body160valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
21.0ms
(/ 1.0 (+ x 1.0))
101.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series122.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1.0 (+ x 1.0))
80.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify752.0ms

Counts
64 → 64
Iterations

Useful iterations: done (748.0ms)

IterNodesCost
0120810
1285766
21122724
done5000718

prune176.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
2.0b
(- x (+ x 1.0))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
34.0ms
(* (+ x 1.0) x)
44.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
17.0ms
(- x (+ x 1.0))

series124.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* (+ x 1.0) x)
49.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0119903
1361745
22884602
done5000600

prune216.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
1711×times-frac
1053×*-un-lft-identity
733×add-sqr-sqrt add-cube-cbrt
192×distribute-lft-neg-in distribute-rgt-neg-in
160×distribute-lft-out
140×associate-/l*
64×neg-mul-1
47×associate-/r*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 762
Calls
2 calls:
24.0ms
(/ 1.0 (/ (+ x 1.0) (- 1.0)))
100.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

series112.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1.0 (/ (+ x 1.0) (- 1.0)))
69.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

simplify2.3s

Counts
768 → 768
Iterations

Useful iterations: done (2.2s)

IterNodesCost
097216351
1268815296
done500214960

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
80.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
5.0ms
(cbrt (+ x 1.0))

series551.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
106.0ms
(cbrt (+ x 1.0))
134.0ms
(cbrt (+ x 1.0))
139.0ms
(cbrt (+ x 1.0))

simplify868.0ms

Counts
107 → 107
Iterations

Useful iterations: done (859.0ms)

IterNodesCost
01391485
13321358
211661288
done50001224

prune460.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b 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
0710
1810
done810

end0.0ms

sample958.0ms

Algorithm
intervals
Results
297.0ms1954×body640valid
239.0ms4144×body80valid
167.0ms1278×body320valid
66.0ms625×body160valid