Details

Time bar (total: 32.1s)

sample54.0ms

Algorithm
intervals
Results
25.0ms713×body80nan
14.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
8.0ms
(- (log x) (log (log x)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (log x) (log (log x)))
0.1b
(log (log x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 *-un-lft-identity
16×add-sqr-sqrt prod-diff log-pow
14×add-cube-cbrt
11×log-prod
4×fma-neg associate--r+ distribute-lft-out--
3×associate--l+ add-exp-log
2×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 63
Calls
2 calls:
Slowest
8.0ms
(- (log x) (log (log x)))
1.0ms
(log (log x))

series832.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
498.0ms
(- (log x) (log (log x)))
334.0ms
(log (log x))

simplify3.7s

Counts
59 → 69
Calls
59 calls:
Slowest
627.0ms
(- (log -1) (+ (log (- (log -1) (log (/ -1 x)))) (log (/ -1 x))))
413.0ms
(fma (- (log (log x))) 1 (* (log (log x)) 1))
213.0ms
(fma 1 (log x) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
167.0ms
(fma (sqrt (log x)) (sqrt (log x)) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))
162.0ms
(fma 1 (log x) (- (* (cbrt (log (log x))) (* (cbrt (log (log x))) (cbrt (log (log x)))))))

prune577.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ x (log x))
0.0b
(log (/ x (log x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×log-prod
10×pow1
8×log-pow
7×add-exp-log
4×associate-/r* add-cbrt-cube
3×associate-/l*
2×expm1-log1p-u div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv log-div clear-num frac-2neg
Counts
2 → 64
Calls
2 calls:
Slowest
8.0ms
(/ x (log x))
4.0ms
(log (/ x (log x)))

series744.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
389.0ms
(log (/ x (log x)))
355.0ms
(/ x (log x))

simplify1.9s

Counts
57 → 70
Calls
57 calls:
Slowest
429.0ms
(/ (* (* x x) x) (* (* (log x) (log x)) (log x)))
339.0ms
(- (log (/ -1 (- (log -1) (log (/ -1 x))))) (log (/ -1 x)))
149.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt (log x)) (cbrt (log x)))))
85.0ms
(- (log (/ -1 (log (/ 1 x)))) (log (/ 1 x)))
81.0ms
(log (/ (* (cbrt x) (cbrt x)) (sqrt (log x))))

prune478.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (sqrt x) (sqrt (log x))) (/ (sqrt x) (sqrt (log x))))
0.4b
(/ (sqrt x) (sqrt (log x)))
0.4b
(/ (sqrt x) (sqrt (log x)))
0.1b
(sqrt (log x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
438×sqrt-prod
384×times-frac
364×add-sqr-sqrt
213×*-un-lft-identity
197×add-cube-cbrt
92×swap-sqr
71×pow1
59×log-pow
46×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
14×associate-/r*
12×associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 397
Calls
4 calls:
Slowest
44.0ms
(* (/ (sqrt x) (sqrt (log x))) (/ (sqrt x) (sqrt (log x))))
6.0ms
(/ (sqrt x) (sqrt (log x)))
6.0ms
(/ (sqrt x) (sqrt (log x)))
2.0ms
(sqrt (log x))

series627.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
234.0ms
(* (/ (sqrt x) (sqrt (log x))) (/ (sqrt x) (sqrt (log x))))
228.0ms
(sqrt (log x))
87.0ms
(/ (sqrt x) (sqrt (log x)))
78.0ms
(/ (sqrt x) (sqrt (log x)))

simplify15.9s

Counts
561 → 409
Calls
561 calls:
Slowest
498.0ms
(* (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt (log x))) (cbrt (sqrt (log x))))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt (log x))) (cbrt (sqrt (log x))))))
324.0ms
(/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (log x)) (sqrt (log x))) (sqrt (log x))))
259.0ms
(/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt (log x)) (sqrt (log x))) (sqrt (log x))))
220.0ms
(* (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (sqrt (log x)))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (sqrt (log x)))))
209.0ms
(* (* (* (/ (sqrt x) (sqrt (log x))) (/ (sqrt x) (sqrt (log x)))) (/ (sqrt x) (sqrt (log x)))) (* (* (/ (sqrt x) (sqrt (log x))) (/ (sqrt x) (sqrt (log x)))) (/ (sqrt x) (sqrt (log x)))))

prune4.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.7s23839×body80nan
597.0ms8000×body80valid