Details

Time bar (total: 19.8s)

sample271.0ms

Algorithm
intervals
Results
171.0ms108×body1280valid
59.0ms86×body640valid
13.0ms38×body320valid
5.0ms256×pre80true
4.0ms17×body160valid
1.0ms7×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0b
(log (+ 1.0 x))
6.1b
(log (- 1.0 x))

rewrite33.0ms

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 clear-num frac-2neg flip3-+ div-exp flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 75
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.0ms
(log (+ 1.0 x))
10.0ms
(log (- 1.0 x))

series281.0ms

Counts
3 → 9
Calls
3 calls:
171.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
55.0ms
(log (+ 1.0 x))
56.0ms
(log (- 1.0 x))

simplify1.7s

Counts
84 → 84
Iterations
IterNodes
done5002
21836
1457
0191

prune457.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 60.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
6.1b
(log (- 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×times-frac add-cube-cbrt
7×pow1
5×log-prod add-exp-log log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub log1p-expm1-u flip-- add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
19.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
5.0ms
(log (- 1.0 x))

series236.0ms

Counts
2 → 6
Calls
2 calls:
171.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
65.0ms
(log (- 1.0 x))

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done5000
21665
1433
0182

prune381.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
0.3b
(* (/ 1.0 x) (/ 1.0 x))
0.4b
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
61×times-frac
56×*-un-lft-identity
44×add-cube-cbrt
35×add-cbrt-cube add-exp-log
14×pow1 cbrt-undiv div-exp
13×swap-sqr associate-*r* associate-*l*
9×associate-/l*
8×prod-exp cbrt-unprod distribute-lft-out--
6×div-inv
4×associate-/r* log-pow difference-of-squares unswap-sqr
3×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l/
1×pow2 pow-plus flip3-- div-sub pow-prod-down pow-sqr *-commutative pow-prod-up flip--
Counts
3 → 145
Calls
3 calls:
35.0ms
(/ (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
34.0ms
(* (/ 1.0 x) (/ 1.0 x))
22.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
141.0ms
(/ (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
36.0ms
(* (/ 1.0 x) (/ 1.0 x))
47.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

simplify2.7s

Counts
154 → 154
Iterations
IterNodes
done5000
23966
1719
0243

prune926.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))))
0.0b
(/ 1 (/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))))))
0.3b
(* (/ 1.0 x) (/ 1.0 x))
0.4b
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
205×times-frac
158×*-un-lft-identity
154×add-sqr-sqrt
110×add-cube-cbrt
47×add-exp-log
41×add-cbrt-cube
32×distribute-lft-out--
31×associate-/r*
28×pow1
21×div-exp
17×cbrt-undiv
16×log-pow difference-of-squares
14×associate-/r/
13×swap-sqr associate-*r* associate-*l*
11×div-inv
9×associate-/l*
8×prod-exp cbrt-unprod
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×clear-num frac-2neg
2×frac-times rec-exp 1-exp associate-*l/ associate-*r/
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up pow-flip inv-pow
Counts
4 → 266
Calls
4 calls:
14.0ms
(/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))))
21.0ms
(/ 1 (/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))))))
20.0ms
(* (/ 1.0 x) (/ 1.0 x))
19.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

series409.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x))))))
166.0ms
(/ 1 (/ (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))) (- (log 1.0) (fma 1.0 x (/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))))))
37.0ms
(* (/ 1.0 x) (/ 1.0 x))
52.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

simplify1.4s

Counts
278 → 278
Iterations
IterNodes
done5000
11069
0378

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
018

end0.0ms

sample7.5s

Algorithm
intervals
Results
4.5s3451×body1280valid
1.9s2444×body640valid
494.0ms1275×body320valid
186.0ms8000×pre80true
151.0ms609×body160valid
18.0ms221×body80valid