Details

Time bar (total: 5.6s)

sample16.0ms

Algorithm
intervals
Results
4.0ms60×body640valid
3.0ms130×body80valid
2.0ms46×body320valid
1.0ms20×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite46.0ms

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:
8.0ms
(/ 1.0 (+ x 1.0))
36.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ 1.0 (+ x 1.0))
56.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.3s

Counts
64 → 64
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0120810
1266766
2633722
31663718
done5000716

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

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))
3.2b
(- x (+ x 1.0))

rewrite36.0ms

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:
9.0ms
(* (+ x 1.0) x)
17.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

series91.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (+ x 1.0) x)
36.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify822.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
0119903
1344743
21671591
done5000591

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×distribute-lft-out associate-/l*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod div-inv add-log-exp
1×flip3-+ distribute-frac-neg associate-*l/ distribute-rgt-neg-out flip-+ associate-/l/
Counts
2 → 58
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series67.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (+ x 1.0))
41.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify1.2s

Counts
64 → 64
Iterations

Useful iterations: 2 (331.0ms)

IterNodesCost
0126793
1320736
21190638
done5001638

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ x 1.0))
0.4b
(/ (* 1.0 (- 1.0)) (* x (+ x 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*r*
3×associate-*l*
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative distribute-rgt-neg-out div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 47
Calls
2 calls:
9.0ms
(* x (+ x 1.0))
7.0ms
(/ (* 1.0 (- 1.0)) (* x (+ x 1.0)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (+ x 1.0))
37.0ms
(/ (* 1.0 (- 1.0)) (* x (+ x 1.0)))

simplify912.0ms

Counts
53 → 53
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
097629
1302580
21365474
done5000474

prune78.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
31810
done1810

end0.0ms

sample410.0ms

Algorithm
intervals
Results
139.0ms1904×body640valid
80.0ms4132×body80valid
74.0ms1284×body320valid
25.0ms680×body160valid