Details

Time bar (total: 15.5s)

sample143.0ms

Algorithm
intervals
Results
76.0ms827×body80nan
15.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(- (log (- (/ 1 x) 1)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (- (/ 1 x) 1))
0.0b
(- (/ 1 x) 1)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
62×*-un-lft-identity
48×times-frac
44×add-cube-cbrt
39×prod-diff
14×log-prod
13×fma-neg
12×difference-of-squares
8×add-exp-log
6×difference-of-sqr-1 div-inv
4×expm1-def distribute-lft-out-- add-log-exp
3×pow1
2×expm1-log1p-u log-div flip3-- add-cbrt-cube div-exp insert-posit16 log1p-expm1-u flip--
1×rec-exp sub-neg diff-log 1-exp rem-log-exp log-pow
Counts
2 → 110
Calls
2 calls:
Slowest
13.0ms
(- (/ 1 x) 1)
10.0ms
(log (- (/ 1 x) 1))

series50.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
31.0ms
(log (- (/ 1 x) 1))
19.0ms
(- (/ 1 x) 1)

simplify5.0s

Counts
134 → 116
Calls
134 calls:
Slowest
245.0ms
(log (- (pow (/ 1 x) 3) (pow 1 3)))
226.0ms
(- (+ x (+ (* 1/2 (pow x 2)) (log x))))
171.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
146.0ms
(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
143.0ms
(fma (/ 1 (sqrt x)) (/ 1 (sqrt x)) (- (* (sqrt 1) (sqrt 1))))

prune929.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (- (/ 1 x) 1))
0.2b
(sqrt (- (/ 1 x) 1))
0.0b
(log (sqrt (- (/ 1 x) 1)))
0.0b
(log (sqrt (- (/ 1 x) 1)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
56×sqrt-prod
46×*-un-lft-identity
34×log-prod
24×times-frac difference-of-squares
12×difference-of-sqr-1
10×pow1 add-cube-cbrt
8×sqrt-div distribute-lft-out--
6×add-exp-log log-pow
4×expm1-log1p-u log-div sqrt-pow1 flip3-- add-cbrt-cube pow1/2 insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
2×rem-sqrt-square rem-log-exp
Counts
4 → 124
Calls
4 calls:
Slowest
16.0ms
(sqrt (- (/ 1 x) 1))
13.0ms
(log (sqrt (- (/ 1 x) 1)))
12.0ms
(sqrt (- (/ 1 x) 1))
12.0ms
(log (sqrt (- (/ 1 x) 1)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
80.0ms
(log (sqrt (- (/ 1 x) 1)))
67.0ms
(log (sqrt (- (/ 1 x) 1)))
39.0ms
(sqrt (- (/ 1 x) 1))
30.0ms
(sqrt (- (/ 1 x) 1))

simplify3.9s

Counts
90 → 136
Calls
90 calls:
Slowest
251.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))
249.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
215.0ms
(- (log (sqrt -1)) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
204.0ms
(sqrt (- (pow (/ 1 x) 3) (pow 1 3)))
203.0ms
(+ (* 1/8 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1/2 (/ 1 (* x (sqrt -1))))))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.2s23734×body80nan
824.0ms8000×body80valid