Details

sample247.0ms

Algorithm

intervals

Results

115.0ms	106×	body	1280	valid
61.0ms	83×	body	640	valid
30.0ms	263×	body	80	nan
16.0ms	36×	body	320	valid
7.0ms	23×	body	160	valid
1.0ms	8×	body	80	valid

simplify125.0ms

Calls

1 calls:

Slowest

125.0ms

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize24.0ms

Local error

Found 2 expressions with local error:

5.9b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`log-prod`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `div-exp` `rem-log-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Calls

2 calls:

Slowest

3.0ms	(/ (+ x 1) (- 1 x))
2.0ms	(log (/ (+ x 1) (- 1 x)))

series91.0ms

Calls

2 calls:

Slowest

78.0ms	(log (/ (+ x 1) (- 1 x)))
13.0ms	(/ (+ x 1) (- 1 x))

simplify2.1s

Calls

53 calls:

Slowest

365.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
171.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
170.0ms	(log (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))))
140.0ms	(- (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 x)) 1)))
123.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))

prune525.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Calls

4 calls:

Slowest

4.0ms	(* x (+ (* x (* 2/3 x)) 2))
2.0ms	(* (pow x 5) 2/5)
1.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series89.0ms

Calls

4 calls:

Slowest

37.0ms	(* x (+ (* x (* 2/3 x)) 2))
25.0ms	(* (pow x 5) 2/5)
18.0ms	(* x (* 2/3 x))
9.0ms	(* 2/3 x)

simplify598.0ms

Calls

21 calls:

Slowest

277.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
60.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
50.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
39.0ms	(+ (* 2 x) (* 2/3 (pow x 3)))
34.0ms	(sqrt (+ (* x (* 2/3 x)) 2))

prune523.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 2/3 x)
0.3b	(* 2/3 x)
0.3b	(* 2/3 x)
0.1b	(* x (* 2/3 x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `-commutative` `add-cube-cbrt` `insert-posit16` `add-log-exp`
1×	`associate-r`

Calls

4 calls:

Slowest

1.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)
0.0ms	(* 2/3 x)
0.0ms	(* 2/3 x)

series51.0ms

Calls

4 calls:

Slowest

24.0ms	(* x (* 2/3 x))
10.0ms	(* 2/3 x)
10.0ms	(* 2/3 x)
7.0ms	(* 2/3 x)

simplify80.0ms

Calls

12 calls:

Slowest

16.0ms	(* 2/3 (pow x 2))
14.0ms	(* 2/3 (pow x 2))
8.0ms	(* 2/3 (pow x 2))
6.0ms	(* 2/3 x)
5.0ms	(* 2/3 x)

prune592.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
1×	`associate-r`

Calls

4 calls:

Slowest

4.0ms	(* (* x (* 2/3 x)) x)
2.0ms	(* (pow x 5) 2/5)
1.0ms	(* x (* 2/3 x))
0.0ms	(* 2/3 x)

series76.0ms

Calls

4 calls:

Slowest

35.0ms	(* (pow x 5) 2/5)
23.0ms	(* (* x (* 2/3 x)) x)
11.0ms	(* x (* 2/3 x))
7.0ms	(* 2/3 x)

simplify162.0ms

Calls

14 calls:

Slowest

22.0ms	(* 2/3 (pow x 3))
21.0ms	(* 2/3 (pow x 3))
19.0ms	(* 2/3 (pow x 3))
17.0ms	(* 2/3 (pow x 2))
16.0ms	(* 2/3 (pow x 2))

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch7.0ms

end0.0ms

sample8.1s

Algorithm

intervals

Results

3.6s	3465×	body	1280	valid
2.2s	2497×	body	640	valid
1.3s	7905×	body	80	nan
534.0ms	1217×	body	320	valid
197.0ms	607×	body	160	valid
25.0ms	214×	body	80	valid