Details

sample80.0ms

Algorithm

intervals

Results

45.0ms	77×	body	1280	valid
17.0ms	52×	body	640	valid
4.0ms	92×	body	80	valid
4.0ms	24×	body	320	valid
2.0ms	64×	body	80	nan
1.0ms	11×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(log (+ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.2b

localize6.0ms

Local error

Found 1 expressions with local error:

3.4b	(log (+ 1 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

Slowest

3.0ms

(log (+ 1 x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

(log (+ 1 x))

simplify1.2s

Counts

24 → 19

Calls

24 calls:

Slowest

430.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
234.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
149.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
81.0ms	(* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x)))
67.0ms	(log (+ (pow 1 3) (pow x 3)))

prune131.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x 1/3)
0.0b	(* x (+ -1/2 (* x 1/3)))
0.0b	(* x (* x (+ -1/2 (* x 1/3))))
0.0b	(+ -1/2 (* x 1/3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

Slowest

34.0ms	(* x (* x (+ -1/2 (* x 1/3))))
11.0ms	(* x (+ -1/2 (* x 1/3)))
9.0ms	(+ -1/2 (* x 1/3))
5.0ms	(* x 1/3)

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

119.0ms	(* x (* x (+ -1/2 (* x 1/3))))
103.0ms	(* x (+ -1/2 (* x 1/3)))
47.0ms	(+ -1/2 (* x 1/3))
34.0ms	(* x 1/3)

simplify7.5s

Counts

97 → 91

Calls

97 calls:

Slowest

415.0ms	(* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))
351.0ms	(* x (* x (+ (pow -1/2 3) (pow (* x 1/3) 3))))
341.0ms	(* x (- (* -1/2 -1/2) (* (* x 1/3) (* x 1/3))))
332.0ms	(+ (pow -1/2 3) (pow (* x 1/3) 3))
322.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))

prune652.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

3.5b	(log (sqrt (+ 1 x)))
3.5b	(log (sqrt (+ 1 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

Slowest

4.0ms	(log (sqrt (+ 1 x)))
3.0ms	(log (sqrt (+ 1 x)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

101.0ms	(log (sqrt (+ 1 x)))
79.0ms	(log (sqrt (+ 1 x)))

simplify1.9s

Counts

64 → 48

Calls

64 calls:

Slowest

336.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
304.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
113.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
110.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
91.0ms	(log (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))

prune366.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

3.4b	(log (- 1 x))
1.8b	(log (- 1 (* x x)))
0.0b	(- 1 (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`difference-of-squares`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-log-exp`
4×	`log-div`
3×	`flip3--` `add-cbrt-cube` `insert-posit16` `flip--`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `distribute-lft-out--`

Counts

3 → 50

Calls

3 calls:

Slowest

4.0ms	(- 1 (* x x))
3.0ms	(log (- 1 x))
3.0ms	(log (- 1 (* x x)))

series220.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

139.0ms	(log (- 1 (* x x)))
55.0ms	(- 1 (* x x))
26.0ms	(log (- 1 x))

simplify4.8s

Counts

76 → 59

Calls

76 calls:

Slowest

540.0ms	(- (+ (pow x 2) (+ (* 1/2 (pow x 4)) (* 1/3 (pow x 6)))))
433.0ms	(- (+ (log (/ -1 x)) (+ (* 1/2 (/ 1 (pow x 2))) (/ 1 x))))
368.0ms	(log (- (pow 1 3) (pow (* x x) 3)))
345.0ms	(- (pow 1 3) (pow (* x x) 3))
329.0ms	(- (log -1) (+ (* 2 (log (/ -1 x))) (+ (* 1/2 (/ 1 (pow x 4))) (/ 1 (pow x 2)))))

prune424.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.7b

bsearch33.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.8s	2293×	body	1280	valid
720.0ms	1704×	body	640	valid
484.0ms	404×	body	160	valid
174.0ms	2806×	body	80	valid
169.0ms	793×	body	320	valid
131.0ms	2654×	body	80	nan