Details

Time bar (total: 12.5s)

sample20.0ms

Algorithm
intervals
Results
7.0ms72×body640valid
3.0ms123×body80valid
3.0ms37×body320valid
1.0ms24×body160valid

simplify6.0ms

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: 19.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite178.0ms

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:
24.0ms
(/ 1.0 (+ x 1.0))
120.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series108.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1.0 (+ x 1.0))
72.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.2s

Counts
320 → 320
Iterations

Useful iterations: done (2.2s)

IterNodesCost
038712162
186710606
219277734
done50016020

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

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))

rewrite123.0ms

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:
25.0ms
(* (+ x 1.0) x)
76.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
20.0ms
(- x (+ x 1.0))

series133.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* (+ x 1.0) x)
61.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
9.0ms
(- x (+ x 1.0))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01451352
13941032
21872752
done5000727

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)

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
1907×times-frac
1129×*-un-lft-identity
823×add-sqr-sqrt add-cube-cbrt
243×distribute-lft-neg-in distribute-rgt-neg-in
175×associate-/l*
153×distribute-lft-out
81×neg-mul-1
57×div-inv
19×associate-/r*
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
5×associate-/r/
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 889
Calls
2 calls:
41.0ms
(/ (- 1.0) (/ (+ x 1.0) 1.0))
74.0ms
(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series81.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- 1.0) (/ (+ x 1.0) 1.0))
45.0ms
(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify2.2s

Counts
895 → 895
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0110519020
1260217526
done500016948

prune2.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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×exp-neg frac-2neg times-frac distribute-frac-neg log-rec 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:
26.0ms
(* (+ x 1.0) x)
42.0ms
(/ (* 1.0 (log (exp (- 1.0)))) (* (+ x 1.0) x))

series125.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (+ x 1.0) x)
59.0ms
(/ (* 1.0 (log (exp (- 1.0)))) (* (+ x 1.0) x))

simplify1.3s

Counts
55 → 55
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0105727
1289628
21345501
done5000499

prune171.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21210
done1210

end0.0ms

sample1.1s

Algorithm
intervals
Results
363.0ms1976×body640valid
300.0ms4253×body80valid
168.0ms1181×body320valid
103.0ms590×body160valid