Details

Time bar (total: 9.1s)

sample154.0ms

Algorithm
intervals
Results
97.0ms110×body1280valid
32.0ms82×body640valid
7.0ms38×body320valid
3.0ms256×pre80true
2.0ms20×body160valid
0.0ms6×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115
done115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.2b
(log (+ 1.0 x))
5.3b
(log (- 1.0 x))

rewrite29.0ms

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:
16.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.0ms
(log (+ 1.0 x))
6.0ms
(log (- 1.0 x))

series219.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
41.0ms
(log (+ 1.0 x))
49.0ms
(log (- 1.0 x))

simplify45.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0452686
11669638
25001623
done5001623

prune439.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

localize13.0ms

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)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.3b
(log (- 1.0 x))

rewrite69.0ms

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 associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-sub flip-- 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 → 165
Calls
3 calls:
38.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
16.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
6.0ms
(log (- 1.0 x))

series233.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
133.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
46.0ms
(log (- 1.0 x))

simplify92.0ms

Counts
174 → 174
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09281453
138371286
250011286
done50011286

prune499.0ms

Pruning

5 alts after pruning (5 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) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite150.0ms

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×associate-*r/ pow-prod-down *-commutative associate-/l/
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
3 → 268
Calls
3 calls:
38.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
38.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
59.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series232.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
125.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify92.0ms

Counts
277 → 277
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07532429
131742138
250012135
done50012135

prune796.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.0b
(cbrt (pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3))
0.0b
(pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3)

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
170×times-frac
157×add-sqr-sqrt
139×*-un-lft-identity
100×unpow-prod-down
91×add-cube-cbrt
68×associate-*r*
50×cbrt-prod
44×cube-prod
32×add-exp-log distribute-lft-out--
26×sqr-pow
24×unpow2
23×pow1
17×unswap-sqr
16×log-pow difference-of-squares
14×add-cbrt-cube
11×div-exp
10×prod-exp
8×pow-exp
7×pow-to-exp
6×div-inv associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow-unpow associate-*l* associate-/r*
2×cube-div cube-mult unpow3 cbrt-unprod associate-/l/ rem-cube-cbrt
1×cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- rem-cbrt-cube
Counts
4 → 284
Calls
4 calls:
36.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
57.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
34.0ms
(cbrt (pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3))
33.0ms
(pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3)

series479.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
122.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
128.0ms
(cbrt (pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3))
172.0ms
(pow (/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))) 3)

simplify72.0ms

Counts
296 → 296
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010715564
150025182
done50025182

prune782.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes34.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02519
12519
done2519

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.8s3332×body1280valid
1.0s2580×body640valid
238.0ms1247×body320valid
94.0ms8000×pre80true
66.0ms627×body160valid
10.0ms214×body80valid