Details

Time bar (total: 12.7s)

sample70.0ms

Algorithm
intervals
Results
35.0ms750×body80nan
13.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09312
112312
216312
318312
done18312

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
20×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u
3×log-div associate-/r*
2×flip3-+ distribute-rgt-out flip3-- frac-add flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp log-pow
Counts
4 → 119
Calls
4 calls:
11.0ms
(sqrt (- 1.0 (* x x)))
37.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
10.0ms
(/ (sqrt (- 1.0 (* x x))) x)
63.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series829.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (- 1.0 (* x x)))
130.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
186.0ms
(/ (sqrt (- 1.0 (* x x))) x)
427.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify2.1s

Counts
131 → 131
Iterations

Useful iterations: done (2.1s)

IterNodesCost
023947307
155940359
2177739190
done500038997

prune668.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
306.0ms
(cbrt x)
306.0ms
(cbrt x)
275.0ms
(cbrt x)
248.0ms
(cbrt x)

simplify3.5s

Counts
64 → 64
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
02611972
14610604
29610448
31699808
44139808
59919808
633849808
done50549808

prune413.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09312
110312
done10312

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.5s23964×body80nan
517.0ms8000×body80valid