Details

sample202.0ms

Algorithm

intervals

Results

78.0ms	90×	body	1280	valid
66.0ms	84×	body	640	valid
21.0ms	233×	body	80	nan
18.0ms	50×	body	320	valid
7.0ms	29×	body	160	valid
0.0ms	3×	body	80	valid

simplify140.0ms

Calls

1 calls:

Slowest

140.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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×	`frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Calls

2 calls:

Slowest

21.0ms	(/ (+ x 1) (- 1 x))
18.0ms	(log (/ (+ x 1) (- 1 x)))

series137.0ms

Calls

2 calls:

Slowest

102.0ms	(log (/ (+ x 1) (- 1 x)))
35.0ms	(/ (+ x 1) (- 1 x))

simplify4.6s

Calls

118 calls:

Slowest

440.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
395.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
336.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
314.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
278.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))
0.1b	(* (pow x 5) 2/5)
0.0b	(* x (+ (* x (* 2/3 x)) 2))

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`associate-r`
20×	`associate-l`
19×	`*-un-lft-identity`
18×	`add-exp-log`
15×	`pow1` `add-cbrt-cube` `add-cube-cbrt`
9×	`unswap-sqr`
8×	`prod-exp`
6×	`pow-prod-down` `cbrt-unprod`
5×	`*-commutative`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `associate-*r/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Calls

4 calls:

Slowest

246.0ms	(* x (+ (* x (* 2/3 x)) 2))
23.0ms	(* (pow x 5) 2/5)
16.0ms	(* x (* 2/3 x))
5.0ms	(* 2/3 x)

series291.0ms

Calls

4 calls:

Slowest

130.0ms	(* x (+ (* x (* 2/3 x)) 2))
94.0ms	(* (pow x 5) 2/5)
40.0ms	(* x (* 2/3 x))
28.0ms	(* 2/3 x)

simplify3.5s

Calls

79 calls:

Slowest

409.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
278.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
261.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
259.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
220.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

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))

rewrite20.0ms

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×	`cbrt-unprod` `insert-posit16` `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

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.5s

Calls

4 calls:

Slowest

646.0ms	(cbrt x)
339.0ms	(* (cbrt x) (cbrt x))
264.0ms	(cbrt x)
262.0ms	(cbrt x)

simplify1.1s

Calls

66 calls:

Slowest

152.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
152.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
122.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
121.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
89.0ms	(* (* (* (cbrt x) (cbrt x)) (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)))

prune931.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample7.7s

Algorithm

intervals

Results

3.6s	3420×	body	1280	valid
1.7s	2475×	body	640	valid
1.3s	8247×	body	80	nan
586.0ms	1209×	body	320	valid
191.0ms	667×	body	160	valid
27.0ms	229×	body	80	valid