Details

Time bar (total: 12.3s)

sample153.0ms

Algorithm
intervals
Results
98.0ms113×body1280valid
29.0ms74×body640valid
9.0ms48×body320valid
4.0ms256×pre80true
2.0ms13×body160valid
0.0ms8×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1109
2119
done119

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 75
Calls
3 calls:
8.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series225.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
49.0ms
(log (+ 1.0 x))
45.0ms
(log (- 1.0 x))

simplify593.0ms

Counts
84 → 84
Iterations

Useful iterations: done (590.0ms)

IterNodesCost
01921243
14531173
214361093
done50001075

prune228.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 59.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.4b
(log (- 1.0 x))

rewrite55.0ms

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-/l*
3×expm1-log1p-u flip3-- associate-*l* associate-/r* flip-- log1p-expm1-u add-log-exp
2×cbrt-undiv div-sub associate-/r/ cbrt-unprod div-inv
1×frac-2neg associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 167
Calls
3 calls:
10.0ms
(/ (log (- 1.0 x)) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
30.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
4.0ms
(log (- 1.0 x))

series250.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(/ (log (- 1.0 x)) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
60.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
47.0ms
(log (- 1.0 x))

simplify1.2s

Counts
176 → 176
Iterations

Useful iterations: 2 (646.0ms)

IterNodesCost
03973124
19602862
230112495
done50002495

prune710.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite93.0ms

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×log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv expm1-log1p-u associate-/r* log1p-expm1-u div-inv add-log-exp
2×flip3-- associate-*r/ pow-prod-down associate-/r/ *-commutative flip-- associate-/l/
1×frac-2neg div-sub clear-num
Counts
3 → 270
Calls
3 calls:
30.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
33.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
14.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series239.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
134.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (fma 1.0 x (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify893.0ms

Counts
279 → 279
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
03205262
17794805
223874264
done50014264

prune872.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(expm1 (log1p (log (+ 1.0 x))))
0.0b
(log1p (log (+ 1.0 x)))
5.4b
(log (+ 1.0 x))
5.4b
(log (- 1.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×log-prod
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt
5×expm1-log1p-u
4×log-div add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-log-exp log-pow
1×log1p-udef expm1-log1p flip3-- flip3-+ log1p-expm1 flip-- flip-+ distribute-lft-out distribute-lft-out-- expm1-udef difference-of-squares
Counts
4 → 57
Calls
4 calls:
0.0ms
(expm1 (log1p (log (+ 1.0 x))))
0.0ms
(log1p (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
6.0ms
(log (- 1.0 x))

series332.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(expm1 (log1p (log (+ 1.0 x))))
108.0ms
(log1p (log (+ 1.0 x)))
46.0ms
(log (+ 1.0 x))
44.0ms
(log (- 1.0 x))

simplify1.6s

Counts
69 → 69
Iterations

Useful iterations: 3 (789.0ms)

IterNodesCost
0157770
1359704
21042629
33627610
done5000610

prune178.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes40.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01431
11531
done1531

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3394×body1280valid
1.0s2535×body640valid
246.0ms1242×body320valid
99.0ms8000×pre80true
67.0ms609×body160valid
10.0ms220×body80valid