Details

sample663.0ms

Algorithm

intervals

Results

208.0ms	203×	body	10240	exit
101.0ms	362×	body	80	nan
62.0ms	229×	body	80	valid
7.0ms	28×	body	160	valid

simplify299.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

298.0ms

(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

Slowest

9.0ms	(sqrt (+ (exp x) 1))
9.0ms	(+ (exp x) 1)

series73.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

58.0ms	(sqrt (+ (exp x) 1))
15.0ms	(+ (exp x) 1)

simplify2.4s

Counts

41 → 36

Calls

41 calls:

Slowest

609.0ms	(* (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1))) (sqrt (+ (exp x) 1)))
409.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
404.0ms	(* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))
116.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
105.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))

prune270.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(log (sqrt (+ (exp x) 1)))
0.1b	(exp (log (sqrt (+ (exp x) 1))))
0.0b	(sqrt (+ (exp x) 1))
0.0b	(+ (exp x) 1)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`exp-sum`
6×	`exp-prod` `sqrt-div` `log-pow` `add-log-exp`
5×	`add-exp-log`
4×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`sqrt-pow1` `pow1/2`
2×	`exp-diff`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

Slowest

20.0ms	(sqrt (+ (exp x) 1))
15.0ms	(exp (log (sqrt (+ (exp x) 1))))
13.0ms	(+ (exp x) 1)
11.0ms	(log (sqrt (+ (exp x) 1)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(log (sqrt (+ (exp x) 1)))
53.0ms	(sqrt (+ (exp x) 1))
51.0ms	(exp (log (sqrt (+ (exp x) 1))))
14.0ms	(+ (exp x) 1)

simplify4.3s

Counts

108 → 87

Calls

108 calls:

Slowest

409.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
387.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
346.0ms	(* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1))
268.0ms	(- (+ (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))) (+ (log (sqrt 2)) (* 1/2 (/ x (pow (sqrt 2) 2))))) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 4))))
228.0ms	(exp (log (sqrt (+ (pow (exp x) 3) (pow 1 3)))))

prune811.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

6.2b	(- 1 (exp x))
0.2b	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- 1 (* (exp x) (- 1 (exp x)))))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (- 1 (exp x)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`exp-prod`
13×	`pow1`
10×	`add-cbrt-cube`
9×	`times-frac` `associate-r`
7×	`add-exp-log`
6×	`associate-l` `add-log-exp`
5×	`pow-prod-down`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `difference-of-squares`
3×	`associate-/r` `sub-neg` `flip3--` `swap-sqr` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 111

Calls

4 calls:

Slowest

114.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- 1 (* (exp x) (- 1 (exp x)))))
24.0ms	(* (exp x) (- 1 (exp x)))
21.0ms	(* (exp x) (exp x))
9.0ms	(- 1 (exp x))

series208.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- 1 (* (exp x) (- 1 (exp x)))))
47.0ms	(* (exp x) (- 1 (exp x)))
23.0ms	(- 1 (exp x))
20.0ms	(* (exp x) (exp x))

simplify15.2s

Counts

143 → 123

Calls

143 calls:

Slowest

550.0ms	(/ (- 1 (* (exp x) (- 1 (exp x)))) (+ (* (exp x) (* (exp x) (exp x))) 1))
543.0ms	(/ (- 1 (* (exp x) (- 1 (exp x)))) (sqrt (+ (* (exp x) (* (exp x) (exp x))) 1)))
515.0ms	(/ (- 1 (* (exp x) (- 1 (exp x)))) (cbrt (+ (* (exp x) (* (exp x) (exp x))) 1)))
491.0ms	(/ (+ (* (exp x) (* (exp x) (exp x))) 1) (- (* 1 1) (* (* (exp x) (- 1 (exp x))) (* (exp x) (- 1 (exp x))))))
482.0ms	(/ (- 1 (* (exp x) (- 1 (exp x)))) (+ (* (exp x) (* (exp x) (exp x))) 1))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.8s	6500×	body	10240	exit
2.5s	12678×	body	80	nan
937.0ms	7406×	body	80	valid
163.0ms	717×	body	160	valid