Details

sample256.0ms

Algorithm

intervals

Results

125.0ms	103×	body	1280	valid
55.0ms	80×	body	640	valid
33.0ms	293×	body	80	nan
20.0ms	47×	body	320	valid
5.0ms	18×	body	160	valid
1.0ms	8×	body	80	valid

simplify133.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

133.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize25.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (+ x 1) (- 1 x)))
0.0b	(/ (+ x 1) (- 1 x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
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-+`

Counts

2 → 93

Calls

2 calls:

Slowest

29.0ms	(/ (+ x 1) (- 1 x))
11.0ms	(log (/ (+ x 1) (- 1 x)))

series116.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

87.0ms	(log (/ (+ x 1) (- 1 x)))
29.0ms	(/ (+ x 1) (- 1 x))

simplify4.2s

Counts

101 → 99

Calls

101 calls:

Slowest

476.0ms	(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- 1 x) (- 1 x)) (- 1 x)))
390.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
382.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
278.0ms	(log (/ (+ x 1) (- (pow 1 3) (pow x 3))))
253.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune920.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
16×	`associate-l`
15×	`add-cbrt-cube`
13×	`pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 87

Calls

4 calls:

Slowest

58.0ms	(* x (+ (* x (* 2/3 x)) 2))
12.0ms	(* (pow x 5) 2/5)
12.0ms	(* x (* 2/3 x))
5.0ms	(* 2/3 x)

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(* x (+ (* x (* 2/3 x)) 2))
78.0ms	(* (pow x 5) 2/5)
33.0ms	(* x (* 2/3 x))
15.0ms	(* 2/3 x)

simplify3.0s

Counts

61 → 99

Calls

61 calls:

Slowest

280.0ms	(+ (* (* x (* 2/3 x)) (* x (* 2/3 x))) (- (* 2 2) (* (* x (* 2/3 x)) 2)))
252.0ms	(* (* (* x x) x) (* (* (* 2/3 x) (* 2/3 x)) (* 2/3 x)))
233.0ms	(* (* (* x x) x) (* (* (+ (* x (* 2/3 x)) 2) (+ (* x (* 2/3 x)) 2)) (+ (* x (* 2/3 x)) 2)))
204.0ms	(* (* (* x x) x) (* (* (* 2/3 2/3) 2/3) (* (* x x) x)))
176.0ms	(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 2/5 2/5) 2/5))

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

11.0ms	(* 2/3 x)
10.0ms	(* 2/3 x)
10.0ms	(* 2/3 x)
10.0ms	(* 2/3 x)

series80.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

27.0ms	(* 2/3 x)
19.0ms	(* 2/3 x)
18.0ms	(* 2/3 x)
15.0ms	(* 2/3 x)

simplify1.2s

Counts

48 → 88

Calls

48 calls:

Slowest

520.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
204.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
150.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
127.0ms	(* (* (* 2/3 2/3) 2/3) (* (* x x) x))
12.0ms	(* (sqrt 2/3) (sqrt x))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

5.4b	(log (+ x 1))
5.3b	(log (- 1 x))
0.0b	(- (log (+ x 1)) (log (- 1 x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
20×	`log-prod`
15×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`associate--l+`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `add-log-exp`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

Slowest

21.0ms	(- (log (+ x 1)) (log (- 1 x)))
7.0ms	(log (- 1 x))
6.0ms	(log (+ x 1))

series203.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

141.0ms	(- (log (+ x 1)) (log (- 1 x)))
36.0ms	(log (+ x 1))
25.0ms	(log (- 1 x))

simplify3.2s

Counts

46 → 75

Calls

46 calls:

Slowest

497.0ms	(- (+ (* 2/3 (/ 1 (pow x 3))) (* 2 (/ 1 x))) (log -1))
417.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
342.0ms	(+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))
340.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
295.0ms	(+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))

prune523.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

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

bsearch9.0ms

end0.0ms

sample7.8s

Algorithm

intervals

Results

4.3s	3489×	body	1280	valid
1.6s	2492×	body	640	valid
926.0ms	8001×	body	80	nan
496.0ms	1205×	body	320	valid
150.0ms	610×	body	160	valid
24.0ms	204×	body	80	valid