Details

Time bar (total: 10.4s)

sample172.0ms

Algorithm
intervals
Results
106.0ms114×body1280valid
36.0ms81×body640valid
9.0ms38×body320valid
4.0ms256×pre80true
2.0ms14×body160valid
0.0ms9×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.5b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series253.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
50.0ms
(log (+ 1.0 x))
68.0ms
(log (- 1.0 x))

simplify38.0ms

Counts
78 → 78

prune224.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 58.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
4.5b
(log (- 1.0 x))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
39.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
67.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(log (- 1.0 x))

series251.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
147.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
46.0ms
(log (- 1.0 x))

simplify103.0ms

Counts
172 → 172

prune528.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
41.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
96.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series246.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
129.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify97.0ms

Counts
275 → 275

prune833.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.7b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
17×*-un-lft-identity
14×add-sqr-sqrt
10×cbrt-div
8×add-cube-cbrt
7×pow1
6×distribute-lft-out--
4×add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
3×log-pow difference-of-squares
2×associate-*r/ frac-sub
1×flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
24.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
14.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
13.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
20.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series973.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
238.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
248.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
247.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify49.0ms

Counts
75 → 75

prune428.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.3s3377×body1280valid
1.3s2534×body640valid
602.0ms1260×body320valid
131.0ms8000×pre80true
81.0ms603×body160valid
13.0ms226×body80valid