Details

Time bar (total: 10.5s)

sample20.0ms

Algorithm
intervals
Results
5.0ms58×body640valid
3.0ms136×body80valid
3.0ms46×body320valid
1.0ms16×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06162
19162
212162
done12162

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite79.0ms

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×associate-/r* add-cbrt-cube add-exp-log add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp frac-sub flip-+ flip--
Counts
2 → 58
Calls
2 calls:
15.0ms
(/ 1.0 (+ x 1.0))
60.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series149.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1.0 (+ x 1.0))
103.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify991.0ms

Counts
64 → 64
Iterations

Useful iterations: done (984.0ms)

IterNodesCost
012018297
128615148
2112714743
done500014663

prune255.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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))
2.2b
(- x (+ x 1.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube add-exp-log
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 prod-exp add-cube-cbrt 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-- distribute-lft-out distribute-lft-out-- associate-/l/
1×clear-num associate-/r* sum-log sub-neg frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
17.0ms
(* (+ x 1.0) x)
54.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms
(- x (+ x 1.0))

series128.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (+ x 1.0) x)
38.0ms
(/ (* 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
011917717
136113627
2284813009
done500012889

prune272.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×associate-/r* times-frac add-cube-cbrt
4×pow1 associate-*l* associate-*l/
3×associate-*r*
2×distribute-lft-neg-in cbrt-undiv neg-mul-1 distribute-rgt-neg-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ distribute-neg-frac add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
24.0ms
(* (+ x 1.0) x)
16.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (+ x 1.0) x)
51.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 2 (620.0ms)

IterNodesCost
011214051
132211377
2273610934
done500010934

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
67×*-un-lft-identity
43×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-neg-in distribute-rgt-neg-in
19×associate-/l*
16×add-cbrt-cube add-exp-log
15×associate-/r*
12×distribute-lft-out
10×associate-/r/ distribute-neg-frac
7×cbrt-undiv div-exp
6×neg-mul-1 div-inv
5×flip3-+ flip-+
2×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/l/
Counts
2 → 133
Calls
2 calls:
33.0ms
(/ (* 1.0 1.0) (- (+ x 1.0)))
55.0ms
(/ (/ (* 1.0 1.0) (- (+ x 1.0))) x)

series100.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (* 1.0 1.0) (- (+ x 1.0)))
53.0ms
(/ (/ (* 1.0 1.0) (- (+ x 1.0))) x)

simplify2.2s

Counts
139 → 139
Iterations

Useful iterations: done (2.2s)

IterNodesCost
022247810
163541847
2366741121
done500240961

prune564.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07202
111202
212202
done12202

end0.0ms

sample1.3s

Algorithm
intervals
Results
757.0ms1965×body640valid
225.0ms4190×body80valid
128.0ms1231×body320valid
91.0ms616×body160valid