Details

sample82.0ms

Algorithm

intervals

Results

28.0ms	105×	body	1280	valid
22.0ms	96×	body	640	valid
11.0ms	379×	pre	80	true
5.0ms	35×	body	320	valid
4.0ms	128×	body	80	valid
1.0ms	15×	body	160	valid

simplify8.0ms

Calls

1 calls:

Slowest

8.0ms

(- (exp x) 1)

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize8.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt`
1×	`pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `add-log-exp`

Calls

1 calls:

Slowest

6.0ms

(- (exp x) 1)

series15.0ms

Calls

1 calls:

Slowest

15.0ms

(- (exp x) 1)

simplify179.0ms

Calls

4 calls:

Slowest

154.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
9.0ms	(+ (sqrt (exp x)) 1)
8.0ms	(- (exp x) 1)
7.0ms	(- (exp x) 1)

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b	(* x 1/6)
0.0b	(* (+ 1/2 (* x 1/6)) (* x x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

7.0ms	(* (+ 1/2 (* x 1/6)) (* x x))
0.0ms	(* x 1/6)

series51.0ms

Calls

2 calls:

Slowest

40.0ms	(* (+ 1/2 (* x 1/6)) (* x x))
10.0ms	(* x 1/6)

simplify985.0ms

Calls

13 calls:

Slowest

335.0ms	(* (+ (pow 1/2 3) (pow (* x 1/6) 3)) (* x x))
175.0ms	(* (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6))) (* (* (* x x) (* x x)) (* x x)))
159.0ms	(* (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6))) (* x x))
74.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
71.0ms	(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune229.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize1.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt`
1×	`pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `add-log-exp`

Calls

1 calls:

Slowest

5.0ms

(- (exp x) 1)

series11.0ms

Calls

1 calls:

Slowest

11.0ms

(- (exp x) 1)

simplify183.0ms

Calls

4 calls:

Slowest

153.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
12.0ms	(- (exp x) 1)
8.0ms	(+ (sqrt (exp x)) 1)
8.0ms	(- (exp x) 1)

prune70.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

5.2b	(- (exp x) 1)
5.2b	(log (exp (- (exp x) 1)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

10.0ms	(log (exp (- (exp x) 1)))
3.0ms	(- (exp x) 1)

series27.0ms

Calls

2 calls:

Slowest

13.0ms	(- (exp x) 1)
13.0ms	(log (exp (- (exp x) 1)))

simplify518.0ms

Calls

18 calls:

Slowest

163.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
155.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
49.0ms	(log (* (cbrt (exp (- (exp x) 1))) (cbrt (exp (- (exp x) 1)))))
43.0ms	(log (sqrt (exp (- (exp x) 1))))
14.0ms	(- (sqrt (exp x)) 1)

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	3382×	body	1280	valid
492.0ms	2533×	body	640	valid
486.0ms	663×	body	160	valid
454.0ms	11953×	pre	80	true
161.0ms	1259×	body	320	valid
132.0ms	4116×	body	80	valid