Details

Time bar (total: 18.4s)

sample204.0ms

Algorithm
intervals
Results
134.0ms119×body1280valid
37.0ms76×body640valid
10.0ms40×body320valid
5.0ms256×pre80true
3.0ms18×body160valid
0.0ms3×body80valid

simplify14.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.7b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.4b
(log (- 1.0 x))
5.5b
(log (+ 1.0 x))

rewrite75.0ms

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:
52.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
10.0ms
(log (- 1.0 x))
10.0ms
(log (+ 1.0 x))

series326.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
84.0ms
(log (- 1.0 x))
68.0ms
(log (+ 1.0 x))

simplify730.0ms

Counts
78 → 78

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 60.0b

localize32.0ms

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)))))
5.4b
(log (- 1.0 x))

rewrite154.0ms

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:
41.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
94.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
10.0ms
(log (- 1.0 x))

series332.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
178.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
76.0ms
(log (- 1.0 x))

simplify1.3s

Counts
172 → 172

prune557.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))))

rewrite249.0ms

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:
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
126.0ms
(/ (- (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)))))

series336.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
68.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
188.0ms
(/ (- (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)))))

simplify1.2s

Counts
275 → 275

prune961.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 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
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.2b
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite392.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
234×add-sqr-sqrt
204×associate-*r*
168×unpow-prod-down
136×*-un-lft-identity
124×add-cube-cbrt
75×add-exp-log
72×unpow2 sqr-pow
51×unswap-sqr
30×prod-exp
28×div-exp
24×sqrt-prod
21×add-cbrt-cube
18×pow-to-exp pow-exp
14×pow1
9×associate-*l* associate-/r*
8×distribute-lft-out--
6×cbrt-unprod
5×associate-*r/
4×cbrt-undiv log-pow div-inv associate-/l/ add-log-exp difference-of-squares
3×pow-prod-down *-commutative associate-/l*
2×flip3-- sqrt-div associate-/r/ frac-sub flip--
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
4 → 388
Calls
4 calls:
57.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
61.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
182.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series574.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
86.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
67.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
354.0ms
(/ (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (sqrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify1.4s

Counts
400 → 400

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify754.0ms

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.0s3511×body1280valid
1.3s2469×body640valid
747.0ms1197×body320valid
164.0ms8000×pre80true
94.0ms619×body160valid
13.0ms204×body80valid