Details

Time bar (total: 13.5s)

sample106.0ms

Algorithm
intervals
Results
55.0ms750×body80nan
21.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09312
112312
216312
done16312

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
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 → 98
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
45.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
24.0ms
(/ (sqrt (- 1.0 (* x x))) x)
87.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series868.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(sqrt (- 1.0 (* x x)))
141.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
154.0ms
(/ (sqrt (- 1.0 (* x x))) x)
481.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify1.6s

Counts
110 → 110
Iterations

Useful iterations: done (1.6s)

IterNodesCost
023144991
152938568
2168737079
done500037039

prune621.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize47.0ms

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×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
228.0ms
(cbrt x)
270.0ms
(cbrt x)
313.0ms
(cbrt x)
307.0ms
(cbrt x)

simplify5.2s

Counts
56 → 56
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
02410684
1449316
2949160
31758520
43908520
511268520
644948520
done50008520

prune365.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes160.0ms

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

sample3.2s

Algorithm
intervals
Results
1.9s23964×body80nan
744.0ms8000×body80valid