Details

sample67.0ms

Algorithm

intervals

Results

36.0ms	67×	body	1280	valid
15.0ms	55×	body	640	valid
4.0ms	97×	body	80	valid
4.0ms	24×	body	320	valid
2.0ms	77×	body	80	nan
1.0ms	13×	body	160	valid

simplify8.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

7.0ms

(log (+ 1 x))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize6.0ms

Local error

Found 1 expressions with local error:

4.1b	(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))

series40.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

40.0ms

(log (+ 1 x))

simplify829.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

332.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
213.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
140.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
73.0ms	(log (+ (pow 1 3) (pow x 3)))
27.0ms	(log (- (* 1 1) (* x x)))

prune130.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

Slowest

42.0ms	(* x (* x (+ -1/2 (* x 1/3))))
21.0ms	(* x (+ -1/2 (* x 1/3)))
11.0ms	(* x 1/3)

series229.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

108.0ms	(* x (* x (+ -1/2 (* x 1/3))))
92.0ms	(* x (+ -1/2 (* x 1/3)))
29.0ms	(* x 1/3)

simplify2.8s

Counts

47 → 76

Calls

47 calls:

Slowest

326.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
310.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
226.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))
215.0ms	(+ (* -1/2 -1/2) (- (* (* x 1/3) (* x 1/3)) (* -1/2 (* x 1/3))))
213.0ms	(- (* 1/3 (pow x 3)) (* 1/2 (pow x 2)))

prune530.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b	(log (+ 1 x))
4.1b	(log (+ 1 x))
4.1b	(log (+ 1 x))
0.2b	(cbrt (log (+ 1 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

Slowest

6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
2.0ms	(cbrt (log (+ 1 x)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(cbrt (log (+ 1 x)))
41.0ms	(log (+ 1 x))
39.0ms	(log (+ 1 x))
26.0ms	(log (+ 1 x))

simplify3.7s

Counts

37 → 73

Calls

37 calls:

Slowest

440.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
390.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
387.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
357.0ms	(- (+ (* 1/3 (* (/ 1 x) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3))) (pow (- (log -1) (log (/ -1 x))) 1/3)) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 2)) 1/3))) (* 1/9 (* (/ 1 (pow x 2)) (pow (/ 1 (pow (- (log -1) (log (/ -1 x))) 5)) 1/3)))))
263.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune676.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.2b	(log (sqrt (+ 1 x)))
4.2b	(log (sqrt (+ 1 x)))
4.1b	(log (+ 1 x))
4.1b	(log (+ 1 x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

6.0ms	(log (+ 1 x))
6.0ms	(log (+ 1 x))
5.0ms	(log (sqrt (+ 1 x)))
4.0ms	(log (sqrt (+ 1 x)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

88.0ms	(log (sqrt (+ 1 x)))
81.0ms	(log (sqrt (+ 1 x)))
41.0ms	(log (+ 1 x))
38.0ms	(log (+ 1 x))

simplify3.0s

Counts

48 → 86

Calls

48 calls:

Slowest

608.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
327.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
326.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
295.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
226.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune927.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

99.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 20.9b

bsearch32.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2244×	body	1280	valid
660.0ms	1652×	body	640	valid
251.0ms	2827×	body	80	valid
181.0ms	825×	body	320	valid
90.0ms	2612×	body	80	nan
57.0ms	452×	body	160	valid