Details

Time bar (total: 15.6s)

sample157.0ms

Algorithm
intervals
Results
71.0ms95×body1280valid
37.0ms90×body640valid
13.0ms230×body80nan
11.0ms46×body320valid
3.0ms16×body160valid
1.0ms9×body80valid

simplify201.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11812
22512
34012
46512
59612
612212
714312
815112
done15112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×expm1-log1p-u flip3-- div-exp rem-log-exp flip-- log1p-expm1-u div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 86
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
15.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series214.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (+ 1.0 x) (- 1.0 x))
172.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify914.0ms

Counts
92 → 92
Iterations

Useful iterations: done (909.0ms)

IterNodesCost
01461310
13451243
213551184
done50011165

prune356.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune13.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
0.0b
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
4.8b
(log (sqrt (+ 1.0 x)))
5.2b
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
149×*-un-lft-identity
109×add-sqr-sqrt
105×times-frac
96×log-prod
72×sqrt-prod
65×add-cube-cbrt
41×associate-+r+
22×distribute-lft-out distribute-lft-out-- difference-of-squares
13×pow1
11×log-pow
10×add-exp-log
7×associate-+l+ associate-/l*
6×log-div fma-def sqrt-div associate-/r/ add-cbrt-cube
5×associate-/r*
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×flip3-- rem-log-exp flip-- div-inv
2×associate-+l- sqrt-pow1 pow1/2 div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+r- frac-2neg clear-num sum-log
Counts
4 → 215
Calls
4 calls:
46.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
34.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
11.0ms
(log (sqrt (+ 1.0 x)))
34.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (sqrt (+ 1.0 x)) (- 1.0 x))
400.0ms
(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
109.0ms
(log (sqrt (+ 1.0 x)))
319.0ms
(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify2.1s

Counts
227 → 227
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03233870
17573531
229113316
done50003293

prune597.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize76.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ x (/ (* 1.0 (pow 1.0 3)) x)) 0.125 (fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))))
0.1b
(fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
0.1b
(fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))
0.2b
(/ x (/ (* 1.0 (pow 1.0 3)) x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
33×times-frac
20×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
9×div-exp
7×associate-/r*
5×cbrt-undiv div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp fma-udef associate-/l*
1×pow-to-exp frac-2neg pow-exp clear-num associate-/r/ cbrt-unprod
Counts
4 → 82
Calls
4 calls:
0.0ms
(fma (/ x (/ (* 1.0 (pow 1.0 3)) x)) 0.125 (fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))))
0.0ms
(fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
0.0ms
(fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))
12.0ms
(/ x (/ (* 1.0 (pow 1.0 3)) x))

series990.0ms

Counts
4 → 12
Calls
4 calls:
407.0ms
(fma (/ x (/ (* 1.0 (pow 1.0 3)) x)) 0.125 (fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))))
327.0ms
(fma 0.5 (/ (* x x) (pow 1.0 3)) (fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2)))))
144.0ms
(fma (/ (* x x) (* 1.0 1.0)) 0.375 (* 0.5 (/ (pow x 2) (pow 1.0 2))))
111.0ms
(/ x (/ (* 1.0 (pow 1.0 3)) x))

simplify1.5s

Counts
94 → 94
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01631910
13921872
224911438
done50021420

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes44.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11522
done1522

end0.0ms

sample6.0s

Algorithm
intervals
Results
3.3s3381×body1280valid
1.1s2542×body640valid
642.0ms8027×body80nan
357.0ms1237×body320valid
104.0ms632×body160valid
16.0ms208×body80valid