Details

Time bar (total: 11.8s)

sample35.0ms

Algorithm
intervals
Results
10.0ms71×body640valid
9.0ms131×body80valid
4.0ms32×body320valid
2.0ms22×body160valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite133.0ms

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:
12.0ms
(/ 1.0 (+ x 1.0))
118.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series130.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1.0 (+ x 1.0))
83.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify807.0ms

Counts
64 → 64
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
0120810
1285766
21122724
done5000718

prune185.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

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))
2.7b
(- x (+ x 1.0))

rewrite116.0ms

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:
37.0ms
(* (+ x 1.0) x)
56.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
18.0ms
(- x (+ x 1.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* (+ x 1.0) x)
49.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
13.0ms
(- x (+ x 1.0))

simplify1.9s

Counts
72 → 72
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0119903
1361745
22884602
done5000600

prune189.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite215.0ms

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)))
93.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

series80.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1.0 (/ (+ x 1.0) (- 1.0)))
53.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 1.0))) x)

simplify2.1s

Counts
768 → 768
Iterations

Useful iterations: done (2.0s)

IterNodesCost
097216351
1268815296
done500214960

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

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:
68.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
8.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ x 1.0))
8.0ms
(cbrt (+ x 1.0))

series544.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
134.0ms
(cbrt (+ x 1.0))
114.0ms
(cbrt (+ x 1.0))
109.0ms
(cbrt (+ x 1.0))

simplify841.0ms

Counts
107 → 107
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
01391485
13321358
211661288
done50001224

prune500.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes48.0ms

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

sample1.4s

Algorithm
intervals
Results
654.0ms1262×body320valid
277.0ms1920×body640valid
224.0ms4200×body80valid
46.0ms620×body160valid