Details

Time bar (total: 21.1s)

sample221.0ms

Algorithm
intervals
Results
147.0ms122×body1280valid
44.0ms77×body640valid
9.0ms32×body320valid
4.0ms256×pre80true
4.0ms22×body160valid
0.0ms3×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize25.0ms

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))

rewrite53.0ms

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:
22.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
25.0ms
(log (- 1.0 x))

series311.0ms

Counts
3 → 9
Calls
3 calls:
191.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
62.0ms
(log (+ 1.0 x))
59.0ms
(log (- 1.0 x))

simplify2.1s

Counts
84 → 84
Iterations
IterNodes
done5002
21836
1457
0191

prune554.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 59.8b

localize37.0ms

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))))
6.2b
(log (- 1.0 x))

rewrite30.0ms

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:
14.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
14.0ms
(log (- 1.0 x))

series260.0ms

Counts
2 → 6
Calls
2 calls:
190.0ms
(/ (log (- 1.0 x)) (fma (* (/ x 1.0) (/ x 1.0)) -1/2 (fma 1.0 x (log 1.0))))
70.0ms
(log (- 1.0 x))

simplify1.3s

Counts
59 → 59
Iterations
IterNodes
done5000
21665
1433
0182

prune400.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))))
0.2b
(* (/ 1.0 x) (/ 1.0 x))
0.3b
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

rewrite75.0ms

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:
26.0ms
(/ (- (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))))
25.0ms
(* (/ 1.0 x) (/ 1.0 x))
13.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
168.0ms
(/ (- (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))))
40.0ms
(* (/ 1.0 x) (/ 1.0 x))
51.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

simplify2.7s

Counts
154 → 154
Iterations
IterNodes
done5000
23966
1719
0243

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 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))))
0.0b
(log1p (expm1 (/ (- (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))))))
0.2b
(* (/ 1.0 x) (/ 1.0 x))
0.3b
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
65×add-sqr-sqrt
61×times-frac
57×*-un-lft-identity
45×add-cube-cbrt
36×add-cbrt-cube add-exp-log
15×pow1
14×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×expm1-log1p-u associate-/r* log-pow log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
3×associate-/r/
2×frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l/
1×pow2 log1p-udef pow-plus flip3-- div-sub pow-prod-down log1p-expm1 pow-sqr *-commutative pow-prod-up flip--
Counts
4 → 156
Calls
4 calls:
36.0ms
(/ (- (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))))
1.0ms
(log1p (expm1 (/ (- (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))
12.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

series571.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (- (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))))
358.0ms
(log1p (expm1 (/ (- (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))))))
37.0ms
(* (/ 1.0 x) (/ 1.0 x))
36.0ms
(/ 1/2 (* (/ 1.0 x) (/ 1.0 x)))

simplify2.7s

Counts
168 → 168
Iterations
IterNodes
done5000
24033
1735
0254

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done22
122
019

end0.0ms

sample7.0s

Algorithm
intervals
Results
4.6s3450×body1280valid
1.5s2497×body640valid
463.0ms1208×body320valid
132.0ms8000×pre80true
126.0ms614×body160valid
16.0ms231×body80valid