Details

sample118.0ms

Algorithm

intervals

Results

56.0ms	62×	body	1280	valid
32.0ms	61×	body	640	valid
5.0ms	22×	body	320	valid
5.0ms	92×	body	80	valid
4.0ms	102×	body	80	nan
3.0ms	19×	body	160	valid

simplify13.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

13.0ms

(log (+ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize11.0ms

Local error

Found 1 expressions with local error:

5.1b	(log (+ 1 x))

rewrite7.0ms

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

6.0ms

(log (+ 1 x))

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

(log (+ 1 x))

simplify948.0ms

Counts

10 → 19

Calls

10 calls:

Slowest

403.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
228.0ms	(- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2)))))
204.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
50.0ms	(log (+ (pow 1 3) (pow x 3)))
20.0ms	(log (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))

prune119.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

Slowest

18.0ms	(* x (* x (+ -1/2 (* x 1/3))))
17.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
10.0ms	(* x (+ -1/2 (* x 1/3)))
9.0ms	(* x 1/3)

series262.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

118.0ms	(* x (* x (+ -1/2 (* x 1/3))))
79.0ms	(* x (+ -1/2 (* x 1/3)))
41.0ms	(+ (* x (* x (+ -1/2 (* x 1/3)))) x)
24.0ms	(* x 1/3)

simplify4.1s

Counts

55 → 95

Calls

55 calls:

Slowest

407.0ms	(* (exp (* x (* x (+ -1/2 (* x 1/3))))) (exp x))
369.0ms	(* (* (* x x) x) (* (* (* x x) x) (* (* (+ -1/2 (* x 1/3)) (+ -1/2 (* x 1/3))) (+ -1/2 (* x 1/3)))))
339.0ms	(* (* (* x x) x) (* (* (* x (+ -1/2 (* x 1/3))) (* x (+ -1/2 (* x 1/3)))) (* x (+ -1/2 (* x 1/3)))))
259.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))
232.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune658.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

5.1b	(log (sqrt (+ 1 x)))
5.1b	(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)))

series147.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

76.0ms	(log (sqrt (+ 1 x)))
70.0ms	(log (sqrt (+ 1 x)))

simplify993.0ms

Counts

28 → 48

Calls

28 calls:

Slowest

261.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
216.0ms	(- (+ (* 1/2 x) (* 1/6 (pow x 3))) (* 1/4 (pow x 2)))
116.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
108.0ms	(log (sqrt (+ (pow 1 3) (pow x 3))))
31.0ms	(log (sqrt (- (* 1 1) (* x x))))

prune349.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

5.1b	(log (+ 1 x))
0.6b	(exp (log (log (+ 1 x))))
0.0b	(log (log (+ 1 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

Slowest

3.0ms	(log (+ 1 x))
3.0ms	(exp (log (log (+ 1 x))))
1.0ms	(log (log (+ 1 x)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

62.0ms	(log (log (+ 1 x)))
24.0ms	(log (+ 1 x))
22.0ms	(exp (log (log (+ 1 x))))

simplify3.2s

Counts

30 → 56

Calls

30 calls:

Slowest

411.0ms	(- (+ (/ 1 (* x (- (log -1) (log (/ -1 x))))) (log (- (log -1) (log (/ -1 x))))) (+ (* 1/2 (/ 1 (* (pow x 2) (- (log -1) (log (/ -1 x)))))) (* 1/2 (/ 1 (* (pow x 2) (pow (- (log -1) (log (/ -1 x))) 2))))))
406.0ms	(log (- (* 1 1) (* x x)))
386.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
363.0ms	(- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2)))))
284.0ms	(- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2)))

prune455.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

99.5% (0.1b remaining)

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

bsearch46.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.7s	2281×	body	1280	valid
664.0ms	1654×	body	640	valid
272.0ms	792×	body	320	valid
151.0ms	2652×	body	80	nan
139.0ms	2819×	body	80	valid
59.0ms	454×	body	160	valid