Details

Time bar (total: 13.1s)

sample60.0ms

Algorithm
intervals
Results
30.0ms740×body80nan
12.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
21613
done1613

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
24×add-cube-cbrt
16×sqrt-prod
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log
5×add-cbrt-cube div-inv add-log-exp
4×pow1 difference-of-squares
3×log-div associate-/r*
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 82
Calls
3 calls:
14.0ms
(/ (sqrt (- 1.0 (* x x))) x)
46.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
58.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series760.0ms

Counts
3 → 9
Calls
3 calls:
195.0ms
(/ (sqrt (- 1.0 (* x x))) x)
417.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
148.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify2.8s

Counts
91 → 91
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02071678
14581578
212471459
348271436
done50011436

prune331.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite473.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
39.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
34.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
55.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
337.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series2.4s

Counts
4 → 12
Calls
4 calls:
672.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
563.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
497.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
703.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify1.6s

Counts
141 → 141
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02464766
15884480
218854181
done50013669

prune779.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s23596×body80nan
1.1s8000×body80valid