Details

sample229.0ms

Algorithm

intervals

Results

63.0ms	777×	body	80	nan
24.0ms	256×	body	80	valid

simplify41.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

40.0ms

(- (log (- (/ 1 x) 1)))

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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

16.0ms	(log (- (/ 1 x) 1))
14.0ms	(- (/ 1 x) 1)

series78.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

41.0ms	(- (/ 1 x) 1)
37.0ms	(log (- (/ 1 x) 1))

simplify6.5s

Counts

177 → 116

Calls

177 calls:

Slowest

441.0ms	(* (* (- (/ 1 x) 1) (- (/ 1 x) 1)) (- (/ 1 x) 1))
206.0ms	(log (- (pow (/ 1 x) 3) (pow 1 3)))
203.0ms	(- (pow (/ 1 x) 3) (pow 1 3))
184.0ms	(- (log -1) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 2)))))
169.0ms	(- (+ x (+ (* 1/2 (pow x 2)) (log x))))

prune765.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- (/ 1 x) 1))
0.6b	(cbrt (- (/ 1 x) 1))
0.6b	(cbrt (- (/ 1 x) 1))
0.5b	(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

144×	`add-sqr-sqrt`
126×	`cbrt-prod`
104×	`*-un-lft-identity`
50×	`times-frac`
48×	`difference-of-squares`
29×	`swap-sqr`
27×	`difference-of-sqr-1`
22×	`distribute-lft-out--`
18×	`cbrt-div`
17×	`associate-r` `associate-l`
15×	`add-cube-cbrt`
11×	`pow1` `div-inv`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 177

Calls

4 calls:

Slowest

82.0ms	(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
6.0ms	(cbrt (- (/ 1 x) 1))
5.0ms	(cbrt (- (/ 1 x) 1))
5.0ms	(cbrt (- (/ 1 x) 1))

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))
76.0ms	(cbrt (- (/ 1 x) 1))
57.0ms	(cbrt (- (/ 1 x) 1))
47.0ms	(cbrt (- (/ 1 x) 1))

simplify12.8s

Counts

269 → 189

Calls

269 calls:

Slowest

967.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
607.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
528.0ms	(- (pow -1 1/3) (+ (* 1/3 (* (/ 1 x) (pow -1 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow -1 1/3)))))
334.0ms	(* (* (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1))) (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1)))) (* (cbrt (- (/ 1 x) 1)) (cbrt (- (/ 1 x) 1))))
241.0ms	(- (cbrt -1) (+ (* 1/3 (/ (cbrt -1) x)) (* 1/9 (/ (cbrt -1) (pow x 2)))))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.5s	24060×	body	80	nan
1.1s	8000×	body	80	valid