Details

Time bar (total: 13.0s)

sample159.0ms

Algorithm
intervals
Results
100.0ms801×body80nan
35.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations
IterNodes
done18
218
114
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
26×times-frac
23×add-sqr-sqrt
16×distribute-lft-out
15×log-prod
14×add-cube-cbrt
12×div-inv
11×sqrt-prod
8×add-log-exp
6×pow1 distribute-rgt-out
5×add-exp-log
4×add-cbrt-cube insert-posit16 difference-of-squares
3×log-div
2×flip3-+ flip3-- sqrt-div frac-add distribute-rgt1-in flip-+ flip--
1×+-commutative rem-sqrt-square sum-log sub-neg sqrt-pow1 pow1/2 diff-log rem-log-exp log-pow
Counts
4 → 86
Calls
4 calls:
8.0ms
(sqrt (- 1 (* x x)))
31.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
15.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
5.0ms
(- 1 (* x x))

series469.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(sqrt (- 1 (* x x)))
122.0ms
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
225.0ms
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
62.0ms
(- 1 (* x x))

simplify2.8s

Counts
98 → 98
Iterations
IterNodes
done5195
34549
21246
1447
0192

prune465.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt x)
283.0ms
(cbrt x)
296.0ms
(cbrt x)
297.0ms
(cbrt x)

simplify1.9s

Counts
60 → 60
Iterations
IterNodes
done5000
51361
4446
3184
295
145
025

prune342.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

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
done12
112
09

end0.0ms

sample5.4s

Algorithm
intervals
Results
3.2s23946×body80nan
1.6s8000×body80valid