Details

Time bar (total: 9.6s)

sample17.0ms

Algorithm
intervals
Results
4.0ms62×body640valid
2.0ms124×body80valid
2.0ms45×body320valid
1.0ms25×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
22.0ms
(/ 1.0 (+ x 1.0))
122.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ 1.0 (+ x 1.0))
92.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts
320 → 320
Iterations

Useful iterations: done (2.1s)

IterNodesCost
038712162
186710606
219277734
done50016020

prune390.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

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))
3.4b
(- x (+ x 1.0))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ 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 → 84
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
67.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
26.0ms
(- x (+ x 1.0))

series154.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (+ x 1.0) x)
66.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
12.0ms
(- x (+ x 1.0))

simplify1.5s

Counts
93 → 93
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01451352
13941032
21872752
done5000727

prune262.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
53×*-un-lft-identity
51×add-sqr-sqrt
39×add-cube-cbrt
34×associate-*r*
18×associate-*l*
16×add-exp-log add-cbrt-cube
9×distribute-lft-neg-in distribute-rgt-neg-in
7×distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 prod-exp associate-/r* associate-/r/ cbrt-unprod unswap-sqr
3×neg-mul-1 div-inv associate-/l*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 114
Calls
2 calls:
13.0ms
(/ 1.0 (+ x 1.0))
73.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 1.0) x))

series69.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (+ x 1.0))
43.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 1.0) x))

simplify2.1s

Counts
120 → 120
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02051527
16041433
221501306
done50001303

prune368.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.5b
(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

rewrite77.0ms

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 div-exp associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×frac-2neg 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 → 49
Calls
2 calls:
44.0ms
(* (+ x 1.0) x)
30.0ms
(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

series124.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (+ x 1.0) x)
70.0ms
(/ (* 1.0 (- 1.0)) (* (+ x 1.0) x))

simplify1.1s

Counts
55 → 55
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0100655
1286614
21401501
done5000499

prune97.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0710
11110
21510
31810
41910
done1910

end0.0ms

sample658.0ms

Algorithm
intervals
Results
216.0ms1948×body640valid
123.0ms4209×body80valid
97.0ms1217×body320valid
35.0ms626×body160valid