Details

sample92.0ms

Algorithm

intervals

Results

31.0ms	80×	body	10240	exit
26.0ms	71×	body	1280	valid
12.0ms	48×	body	640	valid
6.0ms	98×	body	80	valid
5.0ms	27×	body	320	valid
1.0ms	12×	body	160	valid

simplify10.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

10.0ms

(/ (exp x) (- (exp x) 1))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.3b	(- (exp x) 1)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

Slowest

9.0ms

(- (exp x) 1)

series31.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

31.0ms

(- (exp x) 1)

simplify345.0ms

Counts

10 → 20

Calls

10 calls:

Slowest

224.0ms	(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
19.0ms	(- (sqrt (exp x)) (sqrt 1))
18.0ms	(/ (exp (exp x)) (exp 1))
16.0ms	(- (exp x) 1)
15.0ms	(- (exp x) 1)

prune188.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.1b	(* (* x x) (+ (* x 1/6) 1/2))
0.0b	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
0.0b	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1`
9×	`times-frac`
6×	`associate-r` `add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 87

Calls

4 calls:

Slowest

40.0ms	(* (* x x) (+ (* x 1/6) 1/2))
9.0ms	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))
7.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
5.0ms	(* x 1/6)

series236.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

97.0ms	(* (* x x) (+ (* x 1/6) 1/2))
68.0ms	(/ (exp x) (+ x (* (* x x) (+ (* x 1/6) 1/2))))
43.0ms	(+ x (* (* x x) (+ (* x 1/6) 1/2)))
28.0ms	(* x 1/6)

simplify8.1s

Counts

66 → 99

Calls

66 calls:

Slowest

380.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
330.0ms	(/ (* (* (exp x) (exp x)) (exp x)) (* (* (+ x (* (* x x) (+ (* x 1/6) 1/2))) (+ x (* (* x x) (+ (* x 1/6) 1/2)))) (+ x (* (* x x) (+ (* x 1/6) 1/2)))))
297.0ms	(- (+ (* 18 (/ (exp x) (pow x 5))) (* 6 (/ (exp x) (pow x 3)))) (* 18 (/ (exp x) (pow x 4))))
297.0ms	(- (+ (* 18 (/ (exp x) (pow x 5))) (* 6 (/ (exp x) (pow x 3)))) (* 18 (/ (exp x) (pow x 4))))
287.0ms	(* (exp x) (exp (* (* x x) (+ (* x 1/6) 1/2))))

prune860.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes69.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch2.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.4s	2223×	body	1280	valid
1.1s	2578×	body	10240	exit
605.0ms	1696×	body	640	valid
177.0ms	774×	body	320	valid
168.0ms	2882×	body	80	valid
56.0ms	426×	body	160	valid