Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
7.0ms59×body640valid
4.0ms52×body320valid
4.0ms134×body80valid
1.0ms11×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.1b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite25.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
17.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ x 1.0))
4.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify538.0ms

Counts
64 → 64
Iterations

Useful iterations: done (536.0ms)

IterNodesCost
0120810
1273766
2746722
31965718
done5000708

prune120.0ms

Filtered
47 candidates to 64 candidates (-36.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365

Merged error: 0.2b

Counts
65 → 3

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))
2.4b
(- x (+ x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp 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-+ associate-/l/ distribute-lft-out 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 → 63
Calls
3 calls:
6.0ms
(* (+ x 1.0) x)
13.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
6.0ms
(- x (+ x 1.0))

series9.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (+ x 1.0) x)
3.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.0ms
(- x (+ x 1.0))

simplify493.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
0119903
1360743
21755591
done5001591

prune108.0ms

Filtered
50 candidates to 72 candidates (-44.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68472
Fresh112
Picked101
Done000
Total70575

Merged error: 0.0b

Counts
75 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.2b
(* (/ 1.0 (+ x 1.0)) (/ (neg 1.0) x))

rewrite33.0ms

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×flip3-+ flip-+ 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 → 110
Calls
2 calls:
6.0ms
(/ 1.0 (+ x 1.0))
22.0ms
(* (/ 1.0 (+ x 1.0)) (/ (neg 1.0) x))

series9.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1.0 (+ x 1.0))
6.0ms
(* (/ 1.0 (+ x 1.0)) (/ (neg 1.0) x))

simplify562.0ms

Counts
116 → 116
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
02011493
16211401
225941275
done50011275

prune181.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1124116
Fresh224
Picked011
Done000
Total1147121

Merged error: 0b

Counts
121 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (/ (+ x 1.0) (neg 1.0)))
0.2b
(/ 1.0 (* x (/ (+ x 1.0) (neg 1.0))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
44×times-frac associate-*r*
33×add-sqr-sqrt
28×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 neg-mul-1 prod-exp cbrt-unprod
3×associate-*l* associate-/l*
2×associate-*r/ div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative
Counts
2 → 87
Calls
2 calls:
16.0ms
(* x (/ (+ x 1.0) (neg 1.0)))
10.0ms
(/ 1.0 (* x (/ (+ x 1.0) (neg 1.0))))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (/ (+ x 1.0) (neg 1.0)))
3.0ms
(/ 1.0 (* x (/ (+ x 1.0) (neg 1.0))))

simplify411.0ms

Counts
93 → 93
Iterations

Useful iterations: done (409.0ms)

IterNodesCost
01631117
14351022
21572894
done5000890

prune116.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done011
Total937100

Merged error: 0b

Counts
100 → 7

regimes47.0ms

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
11110
21510
31810
41910
done1910

end0.0ms

sample651.0ms

Algorithm
intervals
Results
214.0ms1860×body640valid
133.0ms4280×body80valid
106.0ms1221×body320valid
37.0ms640×body160valid

Profiling

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