Details

sample116.0ms

Algorithm

intervals

Results

76.0ms	88×	body	1280	valid
14.0ms	35×	body	640	valid
6.0ms	25×	body	320	valid
5.0ms	92×	body	80	valid
4.0ms	103×	body	80	nan
3.0ms	16×	body	160	valid

simplify7.0ms

Calls

1 calls:

Slowest

7.0ms

(log (+ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b	(log (+ 1 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`log-prod`
2×	`add-sqr-sqrt` `pow1` `log-div` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `insert-posit16` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(log (+ 1 x))

series31.0ms

Calls

1 calls:

Slowest

31.0ms

(log (+ 1 x))

simplify793.0ms

Calls

9 calls:

Slowest

355.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
198.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
146.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
34.0ms	(log (+ (pow 1 3) (pow x 3)))
28.0ms	(log (- (* 1 1) (* x x)))

prune151.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.3b	(* x 1/3)
0.0b	(* (* x x) (- 1/2 (* x 1/3)))
0.0b	(- 1/2 (* x 1/3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`sub-neg` `associate-r` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-r/` `-commutative` `flip--`
1×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`

Calls

3 calls:

Slowest

8.0ms	(* (* x x) (- 1/2 (* x 1/3)))
1.0ms	(- 1/2 (* x 1/3))
0.0ms	(* x 1/3)

series175.0ms

Calls

3 calls:

Slowest

107.0ms	(* (* x x) (- 1/2 (* x 1/3)))
51.0ms	(- 1/2 (* x 1/3))
16.0ms	(* x 1/3)

simplify1.2s

Calls

21 calls:

Slowest

151.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (- 1/2 (* x 1/3)) (- 1/2 (* x 1/3))) (- 1/2 (* x 1/3))))
114.0ms	(- (* 1/2 (pow x 2)) (* 1/3 (pow x 3)))
108.0ms	(+ (* 1/2 1/2) (+ (* (* x 1/3) (* x 1/3)) (* 1/2 (* x 1/3))))
102.0ms	(* (* x x) (- (* x 1/3)))
100.0ms	(* (* x x) (- (* x 1/3)))

prune413.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

4.4b	(log (sqrt (+ 1 x)))
4.4b	(log (sqrt (+ 1 x)))
0.0b	(sqrt (+ 1 x))
0.0b	(sqrt (+ 1 x))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `log-prod` `sqrt-prod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`sqrt-div`
6×	`pow1` `add-exp-log`
4×	`log-div` `flip3-+` `add-cbrt-cube` `pow1/2` `log-pow` `flip-+` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Calls

4 calls:

Slowest

2.0ms	(log (sqrt (+ 1 x)))
1.0ms	(log (sqrt (+ 1 x)))
1.0ms	(sqrt (+ 1 x))
1.0ms	(sqrt (+ 1 x))

series211.0ms

Calls

4 calls:

Slowest

76.0ms	(log (sqrt (+ 1 x)))
76.0ms	(log (sqrt (+ 1 x)))
34.0ms	(sqrt (+ 1 x))
24.0ms	(sqrt (+ 1 x))

simplify962.0ms

Calls

42 calls:

Slowest

250.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
188.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
108.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
105.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))
27.0ms	(sqrt (- (* 1 1) (* x x)))

prune681.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

4.4b	(log (sqrt (+ 1 x)))
4.4b	(log (+ 1 x))
0.0b	(sqrt (+ 1 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-prod`
5×	`pow1` `add-exp-log`
4×	`log-div` `sqrt-div`
3×	`flip3-+` `add-cbrt-cube` `log-pow` `flip-+` `insert-posit16` `add-log-exp`
2×	`pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Calls

3 calls:

Slowest

3.0ms	(log (sqrt (+ 1 x)))
2.0ms	(log (+ 1 x))
1.0ms	(sqrt (+ 1 x))

series159.0ms

Calls

3 calls:

Slowest

75.0ms	(log (sqrt (+ 1 x)))
45.0ms	(sqrt (+ 1 x))
39.0ms	(log (+ 1 x))

simplify1.3s

Calls

30 calls:

Slowest

403.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
186.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
167.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
153.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
110.0ms	(- (+ (* 1/2 x) 1) (* 1/8 (pow x 2)))

prune528.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes85.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.8b

bsearch32.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.3s	2356×	body	1280	valid
587.0ms	1547×	body	640	valid
246.0ms	882×	body	320	valid
140.0ms	2809×	body	80	valid
99.0ms	2702×	body	80	nan
85.0ms	406×	body	160	valid