Details

Time bar (total: 12.5s)

sample124.0ms

Algorithm
intervals
Results
78.0ms727×body80nan
27.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.0b
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
0.0b
(/ (sqrt (- 1 (* x x))) x)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
50×times-frac
39×add-sqr-sqrt
29×add-cube-cbrt
26×sqrt-prod
16×distribute-lft-out
15×log-prod
13×div-inv
8×associate-/l* difference-of-squares
6×distribute-rgt-out add-exp-log
5×add-cbrt-cube add-log-exp
4×pow1
3×log-div associate-/r* insert-posit16
2×flip3-+ sqrt-div frac-add distribute-rgt1-in flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp rem-log-exp log-pow flip--
Counts
3 → 103
Calls
3 calls:
19.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
22.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
34.0ms
(/ (sqrt (- 1 (* x x))) x)

series442.0ms

Counts
3 → 9
Calls
3 calls:
223.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
100.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
118.0ms
(/ (sqrt (- 1 (* x x))) x)

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done2010
32010
21270
1472
0221

prune594.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
166×*-un-lft-identity
125×cbrt-prod
91×times-frac
72×add-sqr-sqrt
64×distribute-lft-out
52×div-inv
43×add-cube-cbrt
33×cbrt-div
26×swap-sqr
25×distribute-rgt-out
21×sqrt-prod
18×associate-*r* associate-*l*
11×pow1 flip3-+ frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt1-in
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
3×associate-*l/ associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 181
Calls
4 calls:
14.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
11.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
11.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
114.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
269.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
299.0ms
(cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
298.0ms
(* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))

simplify1.5s

Counts
193 → 193
Iterations
IterNodes
done2010
32010
21240
1488
0236

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample5.9s

Algorithm
intervals
Results
3.7s23585×body80nan
1.7s8000×body80valid