Details

Time bar (total: 19.0s)

sample261.0ms

Algorithm
intervals
Results
169.0ms114×body1280valid
49.0ms70×body640valid
17.0ms46×body320valid
5.0ms256×pre80true
4.0ms21×body160valid
0.0ms5×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done11
211
110
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.8b
(log (+ 1.0 x))
7.0b
(log (- 1.0 x))

rewrite24.0ms

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:
13.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series284.0ms

Counts
3 → 9
Calls
3 calls:
159.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
54.0ms
(log (+ 1.0 x))
71.0ms
(log (- 1.0 x))

simplify1.9s

Counts
84 → 84
Iterations
IterNodes
done5000
21418
1457
0191

prune419.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 59.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
7.0b
(log (- 1.0 x))

rewrite39.0ms

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:
22.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
15.0ms
(log (- 1.0 x))

series231.0ms

Counts
2 → 6
Calls
2 calls:
185.0ms
(/ (log (- 1.0 x)) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
46.0ms
(log (- 1.0 x))

simplify1.8s

Counts
59 → 59
Iterations
IterNodes
done5000
21333
1433
0182

prune464.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×associate-/r* add-cbrt-cube add-exp-log
2×associate-/l/
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg flip3-- div-sub div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 44
Calls
1 calls:
18.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

series131.0ms

Counts
1 → 3
Calls
1 calls:
131.0ms
(/ (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))

simplify2.5s

Counts
47 → 47
Iterations
IterNodes
done5000
32418
2620
1229
0100

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
0.1b
(* (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×*-un-lft-identity
20×times-frac
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
9×add-cbrt-cube
6×pow1 associate-*l*
4×div-exp prod-exp
3×associate-/r* associate-/l* unswap-sqr
2×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-- 1-exp associate-*l/ cbrt-unprod log1p-expm1-u div-inv flip-- distribute-lft-out-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ log-pow un-div-inv *-commutative pow-flip inv-pow difference-of-squares
Counts
2 → 78
Calls
2 calls:
8.0ms
(/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
42.0ms
(* (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))

series280.0ms

Counts
2 → 6
Calls
2 calls:
117.0ms
(/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0))))
163.0ms
(* (- (log 1.0) (fma (* (/ x 1.0) (/ x 1.0)) 1/2 (* 1.0 x))) (/ 1 (fma -1/2 (* (/ x 1.0) (/ x 1.0)) (fma 1.0 x (log 1.0)))))

simplify2.6s

Counts
84 → 84
Iterations
IterNodes
done5000
33910
21280
1396
0161

prune502.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes59.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done14
114
013

end0.0ms

sample7.1s

Algorithm
intervals
Results
4.3s3354×body1280valid
1.8s2479×body640valid
434.0ms1310×body320valid
138.0ms8000×pre80true
112.0ms646×body160valid
15.0ms211×body80valid