Details

sample205.0ms

Algorithm

intervals

Results

87.0ms	90×	body	1280	valid
55.0ms	84×	body	640	valid
23.0ms	233×	body	80	nan
20.0ms	50×	body	320	valid
7.0ms	29×	body	160	valid
0.0ms	3×	body	80	valid

simplify140.0ms

Calls

1 calls:

Slowest

139.0ms

(* (/ 1 2) (log (/ (+ 1 x) (- 1 x))))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize12.0ms

Local error

Found 2 expressions with local error:

7.4b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div` `distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/l*` `distribute-lft-out--`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`expm1-log1p-u` `frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Calls

2 calls:

Slowest

36.0ms	(/ (+ x 1) (- 1 x))
15.0ms	(log (/ (+ x 1) (- 1 x)))

series151.0ms

Calls

2 calls:

Slowest

122.0ms	(log (/ (+ x 1) (- 1 x)))
29.0ms	(/ (+ x 1) (- 1 x))

simplify4.7s

Calls

118 calls:

Slowest

414.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
407.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
333.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
327.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))
300.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))

prune816.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (fma 2/3 (* x x) 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Calls

1 calls:

Slowest

16.0ms

(* x (fma 2/3 (* x x) 2))

series152.0ms

Calls

1 calls:

Slowest

151.0ms

(* x (fma 2/3 (* x x) 2))

simplify1.5s

Calls

15 calls:

Slowest

846.0ms	(* (* (* x x) x) (* (* (fma 2/3 (* x x) 2) (fma 2/3 (* x x) 2)) (fma 2/3 (* x x) 2)))
154.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
151.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
118.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
38.0ms	(+ (log x) (log (fma 2/3 (* x x) 2)))

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

23.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Calls

4 calls:

Slowest

317.0ms	(cbrt x)
315.0ms	(* (cbrt x) (cbrt x))
296.0ms	(cbrt x)
251.0ms	(cbrt x)

simplify995.0ms

Calls

66 calls:

Slowest

148.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
126.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
122.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
107.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
73.0ms	(* (* (* (cbrt x) (cbrt x)) (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.5s	3420×	body	1280	valid
1.7s	8247×	body	80	nan
1.7s	2475×	body	640	valid
515.0ms	1209×	body	320	valid
164.0ms	667×	body	160	valid
26.0ms	229×	body	80	valid