Details

Time bar (total: 12.9s)

sample29.0ms

Algorithm
intervals
Results
9.0ms72×body640valid
5.0ms123×body80valid
4.0ms37×body320valid
2.0ms24×body160valid

simplify19.0ms

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: 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))

rewrite103.0ms

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:
18.0ms
(/ 1.0 (+ x 1.0))
81.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series127.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1.0 (+ x 1.0))
98.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.8s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
4×pow1 times-frac associate-*l* associate-*l/ associate-/l*
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ add-log-exp difference-of-squares
1×flip3-- frac-2neg sub0-neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out unswap-sqr
Counts
2 → 50
Calls
2 calls:
42.0ms
(* (+ x 1.0) x)
43.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series122.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (+ x 1.0) x)
50.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
0108700
1282629
2984531
done5001531

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
151×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
36×associate-/l*
31×distribute-lft-out
21×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 190
Calls
2 calls:
14.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
40.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

series113.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
73.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

simplify1.8s

Counts
196 → 196
Iterations

Useful iterations: 2 (484.0ms)

IterNodesCost
02883381
16823177
219933071
done50003071

prune523.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
82×times-frac
71×add-sqr-sqrt
59×*-un-lft-identity
45×add-cube-cbrt
30×associate-*l*
20×difference-of-squares
19×add-exp-log associate-*r* add-cbrt-cube
11×associate-/l*
9×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
7×associate-/r* distribute-lft-out--
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod div-inv unswap-sqr
3×flip3-- flip-- add-log-exp
2×frac-2neg div-sub distribute-frac-neg clear-num associate-/l/
1×distribute-lft-neg-out neg-sub0 frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 162
Calls
3 calls:
31.0ms
(/ (- 1.0 x) x)
86.0ms
(* (/ (- (* 1.0 1.0)) (- (* 1.0 1.0) (* x x))) (/ (- 1.0 x) x))
25.0ms
(/ (- (* 1.0 1.0)) (- (* 1.0 1.0) (* x x)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ (- 1.0 x) x)
103.0ms
(* (/ (- (* 1.0 1.0)) (- (* 1.0 1.0) (* x x))) (/ (- 1.0 x) x))
89.0ms
(/ (- (* 1.0 1.0)) (- (* 1.0 1.0) (* x x)))

simplify2.1s

Counts
171 → 171
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02593109
17362985
229412732
done50002728

prune552.0ms

Pruning

4 alts after pruning (1 fresh and 3 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

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21510
done1510

end0.0ms

sample1.0s

Algorithm
intervals
Results
385.0ms1976×body640valid
219.0ms4253×body80valid
131.0ms1181×body320valid
117.0ms590×body160valid