Details

Time bar (total: 12.4s)

sample22.0ms

Algorithm
intervals
Results
5.0ms58×body640valid
4.0ms135×body80valid
2.0ms35×body320valid
2.0ms28×body160valid

simplify8.0ms

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: 16.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite153.0ms

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:
14.0ms
(/ 1.0 (+ x 1.0))
108.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series128.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ 1.0 (+ x 1.0))
93.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.2s

Counts
320 → 320
Iterations

Useful iterations: done (2.2s)

IterNodesCost
038712162
186710606
219277734
done50016020

prune454.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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

rewrite172.0ms

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)
105.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
37.0ms
(- x (+ x 1.0))

series149.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* (+ x 1.0) x)
66.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms
(- x (+ x 1.0))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01451352
13941032
21872752
done5000727

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite261.0ms

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))
83.0ms
(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

series64.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- 1.0) (/ (+ x 1.0) 1.0))
39.0ms
(/ (/ (- 1.0) (/ (+ x 1.0) 1.0)) x)

simplify2.0s

Counts
895 → 895
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0110519020
1260217526
done500016948

prune2.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt times-frac associate-/r*
4×pow1 associate-*l* associate-*l/
3×associate-*r*
2×cbrt-undiv distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ log1p-expm1-u distribute-neg-frac add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 54
Calls
2 calls:
34.0ms
(* (+ x 1.0) x)
19.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (+ x 1.0) x)
39.0ms
(/ (* 1.0 1.0) (- (* (+ x 1.0) x)))

simplify974.0ms

Counts
60 → 60
Iterations

Useful iterations: done (972.0ms)

IterNodesCost
0116677
1280645
21106564
done5000562

prune141.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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
11010
21210
done1210

end0.0ms

sample1.4s

Algorithm
intervals
Results
674.0ms4214×body80valid
291.0ms1904×body640valid
136.0ms1224×body320valid
49.0ms659×body160valid