Details

sample94.0ms

Algorithm

intervals

Results

57.0ms	82×	body	1280	valid
16.0ms	48×	body	640	valid
5.0ms	20×	body	320	valid
4.0ms	95×	body	80	valid
3.0ms	82×	body	80	nan
1.0ms	11×	body	160	valid

simplify13.0ms

Calls

1 calls:

Slowest

13.0ms

(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize12.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1 x))

rewrite2.0ms

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

2.0ms

(log (+ 1 x))

series31.0ms

Calls

1 calls:

Slowest

31.0ms

(log (+ 1 x))

simplify865.0ms

Calls

9 calls:

Slowest

390.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
203.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
175.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
26.0ms	(log (- (* 1 1) (* x x)))
23.0ms	(log (+ (pow 1 3) (pow x 3)))

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

5.0ms	(* (* x x) (- 1/2 (* x 1/3)))
1.0ms	(- x (* (* x x) (- 1/2 (* x 1/3))))
0.0ms	(- 1/2 (* x 1/3))
0.0ms	(* x 1/3)

series223.0ms

Calls

4 calls:

Slowest

113.0ms	(* (* x x) (- 1/2 (* x 1/3)))
50.0ms	(- 1/2 (* x 1/3))
30.0ms	(* x 1/3)
30.0ms	(- x (* (* x x) (- 1/2 (* x 1/3))))

simplify1.9s

Calls

28 calls:

Slowest

151.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
144.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
143.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
108.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (- 1/2 (* x 1/3)) (- 1/2 (* x 1/3))) (- 1/2 (* x 1/3))))
108.0ms	(* (* x x) (- (* x 1/3)))

prune461.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))
0.2b	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod`
7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`log-div`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `log-pow` `flip-+`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Calls

4 calls:

Slowest

8.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
2.0ms	(log (+ 1 x))
2.0ms	(log (+ 1 x))
2.0ms	(log (+ 1 x))

series127.0ms

Calls

4 calls:

Slowest

38.0ms	(log (+ 1 x))
35.0ms	(cbrt (* (* (log (+ 1 x)) (log (+ 1 x))) (log (+ 1 x))))
32.0ms	(log (+ 1 x))
21.0ms	(log (+ 1 x))

simplify3.1s

Calls

32 calls:

Slowest

459.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
427.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
385.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
357.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
171.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune531.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

14.6b	(log (+ 1 (* x (* x x))))
14.5b	(log (+ (* 1 1) (- (* x x) (* 1 x))))
3.6b	(log (+ 1 x))
3.6b	(log (+ 1 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

9.0ms	(log (+ (* 1 1) (- (* x x) (* 1 x))))
2.0ms	(log (+ 1 (* x (* x x))))
2.0ms	(log (+ 1 x))
2.0ms	(log (+ 1 x))

series593.0ms

Calls

4 calls:

Slowest

481.0ms	(log (+ 1 (* x (* x x))))
42.0ms	(log (+ (* 1 1) (- (* x x) (* 1 x))))
37.0ms	(log (+ 1 x))
33.0ms	(log (+ 1 x))

simplify3.9s

Calls

37 calls:

Slowest

453.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
424.0ms	(log (+ (pow (* 1 1) 3) (pow (- (* x x) (* 1 x)) 3)))
401.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
353.0ms	(log (- (* (* 1 1) (* 1 1)) (* (- (* x x) (* 1 x)) (- (* x x) (* 1 x)))))
254.0ms	(- (+ (log -1) (/ 1 (pow x 3))) (+ (* 3 (log (/ -1 x))) (* 1/2 (/ 1 (pow x 6)))))

prune814.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 20.6b

bsearch46.0ms

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.1s	2284×	body	1280	valid
757.0ms	1723×	body	640	valid
182.0ms	2801×	body	80	valid
171.0ms	796×	body	320	valid
100.0ms	2653×	body	80	nan
54.0ms	396×	body	160	valid