Details

Time bar (total: 17.0s)

sample210.0ms

Algorithm
intervals
Results
135.0ms117×body1280valid
42.0ms85×body640valid
8.0ms28×body320valid
5.0ms256×pre80true
3.0ms19×body160valid
0.0ms7×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
2119
done119

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.2b
(log (+ 1.0 x))
6.2b
(log (- 1.0 x))

rewrite63.0ms

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:
46.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
8.0ms
(log (+ 1.0 x))
6.0ms
(log (- 1.0 x))

series271.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
52.0ms
(log (+ 1.0 x))
59.0ms
(log (- 1.0 x))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01921243
14601173
218581093
done50001070

prune309.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.7b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
6.2b
(log (- 1.0 x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
32.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
12.0ms
(log (- 1.0 x))

series333.0ms

Counts
2 → 6
Calls
2 calls:
244.0ms
(/ (log (- 1.0 x)) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))
88.0ms
(log (- 1.0 x))

simplify1.1s

Counts
59 → 59
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01811508
14291463
216771366
done50011361

prune337.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
89×add-sqr-sqrt
68×associate-*r*
59×*-un-lft-identity
56×unpow-prod-down
47×add-cube-cbrt
27×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×div-exp prod-exp
9×add-cbrt-cube
8×pow1 distribute-lft-out--
6×pow-to-exp pow-exp associate-/l*
4×log-pow difference-of-squares
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 156
Calls
2 calls:
66.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
43.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

series250.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
187.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))))

simplify2.2s

Counts
162 → 162
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03133610
18233382
237322980
done50012976

prune709.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
242×times-frac
179×add-sqr-sqrt
161×*-un-lft-identity
113×add-cube-cbrt
68×associate-*r*
56×unpow-prod-down
39×add-exp-log
32×distribute-lft-out--
30×associate-/r*
24×unpow2 sqr-pow
22×pow1
17×div-exp unswap-sqr
16×log-pow difference-of-squares
15×add-cbrt-cube
11×associate-/r/
10×prod-exp
7×div-inv
6×pow-to-exp pow-exp associate-/l*
5×cbrt-undiv flip3-- flip--
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num cbrt-unprod
1×pow-flip associate-*r/ pow-prod-down *-commutative inv-pow
Counts
3 → 277
Calls
3 calls:
83.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
27.0ms
(/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
36.0ms
(/ 1 (/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series451.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
171.0ms
(/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
199.0ms
(/ 1 (/ (fma -1/2 (/ (pow x 2) (pow 1.0 2)) (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify827.0ms

Counts
286 → 286
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
044910075
111979434
done50008837

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02099
12499
done2499

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.1s3409×body1280valid
1.9s2492×body640valid
387.0ms1209×body320valid
138.0ms8000×pre80true
108.0ms658×body160valid
56.0ms232×body80valid