Details

sample52.0ms

Algorithm

intervals

Results

38.0ms

483×

body

valid

simplify140.0ms

Calls

1 calls:

Slowest

140.0ms

(exp (- (- 1 (* x x))))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp (* x x)) E)
0.0b	(exp (* x x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `-un-lft-identity` `add-cube-cbrt` `associate-/l` `add-log-exp`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
1×	`exp-prod` `clear-num` `frac-2neg` `div-inv` `rem-exp-log`

Calls

2 calls:

Slowest

8.0ms	(/ (exp (* x x)) E)
2.0ms	(exp (* x x))

series78.0ms

Calls

2 calls:

Slowest

59.0ms	(/ (exp (* x x)) E)
19.0ms	(exp (* x x))

simplify268.0ms

Calls

10 calls:

Slowest

117.0ms	(+ (* 1/2 (/ (pow x 4) E)) (+ (/ (pow x 2) E) (/ 1 E)))
46.0ms	(+ (pow x 2) (+ (* 1/2 (pow x 4)) 1))
28.0ms	(/ (exp (pow x 2)) E)
27.0ms	(/ (exp (pow x 2)) E)
15.0ms	(sqrt (exp (* x x)))

prune298.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ E (exp (* x x))))
0.0b	(/ E (exp (* x x)))
0.0b	(exp (* x x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r*`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `div-inv`
2×	`clear-num` `frac-2neg`
1×	`rec-exp` `exp-prod` `associate-/r/` `pow-flip` `inv-pow` `rem-exp-log`

Calls

3 calls:

Slowest

2.0ms	(/ 1 (/ E (exp (* x x))))
2.0ms	(exp (* x x))
2.0ms	(/ E (exp (* x x)))

series104.0ms

Calls

3 calls:

Slowest

56.0ms	(/ 1 (/ E (exp (* x x))))
36.0ms	(/ E (exp (* x x)))
12.0ms	(exp (* x x))

simplify730.0ms

Calls

20 calls:

Slowest

249.0ms	(- (+ (* 1/2 (* (pow x 4) E)) E) (* (pow x 2) E))
136.0ms	(+ (* 1/2 (/ (pow x 4) E)) (+ (/ (pow x 2) E) (/ 1 E)))
53.0ms	(+ (pow x 2) (+ (* 1/2 (pow x 4)) 1))
30.0ms	(/ (exp (pow x 2)) E)
30.0ms	(sqrt (/ E (exp (* x x))))

prune543.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (sqrt (/ E (exp (* x x))))) (sqrt (/ E (exp (* x x)))))
0.0b	(/ E (exp (* x x)))
0.0b	(/ E (exp (* x x)))
0.0b	(exp (* x x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

35×	`times-frac`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
24×	`sqrt-prod`
17×	`div-inv`
13×	`associate-/r*`
9×	`sqrt-div` `associate-/r/`
8×	`add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube`
5×	`associate-/l*` `add-log-exp`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg` `pow-div`
2×	`pow1/2` `div-exp` `pow-flip`
1×	`cbrt-undiv` `rec-exp` `exp-prod` `inv-pow` `rem-exp-log` `associate-/l/`

Calls

4 calls:

Slowest

11.0ms	(/ (/ 1 (sqrt (/ E (exp (* x x))))) (sqrt (/ E (exp (* x x)))))
2.0ms	(exp (* x x))
2.0ms	(/ E (exp (* x x)))
2.0ms	(/ E (exp (* x x)))

series151.0ms

Calls

4 calls:

Slowest

45.0ms	(/ (/ 1 (sqrt (/ E (exp (* x x))))) (sqrt (/ E (exp (* x x)))))
42.0ms	(/ E (exp (* x x)))
41.0ms	(/ E (exp (* x x)))
22.0ms	(exp (* x x))

simplify4.5s

Calls

110 calls:

Slowest

348.0ms	(/ (* (* (/ 1 (sqrt (/ E (exp (* x x))))) (/ 1 (sqrt (/ E (exp (* x x)))))) (/ 1 (sqrt (/ E (exp (* x x)))))) (* (* (sqrt (/ E (exp (* x x)))) (sqrt (/ E (exp (* x x))))) (sqrt (/ E (exp (* x x))))))
219.0ms	(- (+ (* 1/2 (* (pow x 4) E)) E) (* (pow x 2) E))
217.0ms	(- (+ (* 1/2 (* (pow x 4) E)) E) (* (pow x 2) E))
131.0ms	(+ (* 1/2 (/ (pow x 4) E)) (+ (/ (pow x 2) E) (/ 1 E)))
95.0ms	(/ (* (cbrt (/ 1 (sqrt (/ E (exp (* x x)))))) (cbrt (/ 1 (sqrt (/ E (exp (* x x))))))) (* (cbrt (sqrt (/ E (exp (* x x))))) (cbrt (sqrt (/ E (exp (* x x)))))))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s

15885×

body

valid