Details

sample538.0ms

Algorithm

intervals

Results

212.0ms	171×	body	10240	exit
154.0ms	386×	body	80	nan
38.0ms	243×	body	80	valid
6.0ms	18×	body	160	valid

simplify562.0ms

Calls

1 calls:

Slowest

562.0ms

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

9.0ms	(+ (exp x) 1)
7.0ms	(sqrt (+ (exp x) 1))

series56.0ms

Calls

2 calls:

Slowest

31.0ms	(sqrt (+ (exp x) 1))
25.0ms	(+ (exp x) 1)

simplify399.0ms

Calls

12 calls:

Slowest

191.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
56.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
52.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
33.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
11.0ms	(sqrt (+ (exp x) 1))

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (* 1 1) (* (exp x) 1))
0.1b	(pow (exp x) 3)
0.0b	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
0.0b	(* (exp x) (exp x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
10×	`pow1`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`add-exp-log` `insert-posit16`
3×	`unpow-prod-down` `cube-prod` `associate-r` `associate-l`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log`
1×	`pow2` `cube-mult` `pow-to-exp` `+-commutative` `associate-+r-` `pow-pow` `flip3-+` `pow-plus` `flip3--` `distribute-rgt-out--` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `flip--` `rem-cube-cbrt`

Calls

4 calls:

Slowest

12.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
4.0ms	(* (exp x) (exp x))
3.0ms	(- (* 1 1) (* (exp x) 1))
1.0ms	(pow (exp x) 3)

series90.0ms

Calls

4 calls:

Slowest

31.0ms	(+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))
24.0ms	(pow (exp x) 3)
19.0ms	(- (* 1 1) (* (exp x) 1))
15.0ms	(* (exp x) (exp x))

simplify1.4s

Calls

39 calls:

Slowest

252.0ms	(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
191.0ms	(* (exp (* (exp x) (exp x))) (/ (exp (* 1 1)) (exp (* (exp x) 1))))
185.0ms	(* (exp (* (exp x) (exp x))) (exp (- (* 1 1) (* (exp x) 1))))
104.0ms	(* (* (* (exp x) (exp x)) (exp x)) (* (* (exp x) (exp x)) (exp x)))
77.0ms	(/ (exp (* 1 1)) (exp (* (exp x) 1)))

prune994.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize1.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

7.0ms	(sqrt (+ (exp x) 1))
6.0ms	(+ (exp x) 1)

series34.0ms

Calls

2 calls:

Slowest

22.0ms	(sqrt (+ (exp x) 1))
12.0ms	(+ (exp x) 1)

simplify487.0ms

Calls

12 calls:

Slowest

219.0ms	(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
82.0ms	(sqrt (- (* (exp x) (exp x)) (* 1 1)))
75.0ms	(+ x (+ (* 1/2 (pow x 2)) 2))
31.0ms	(sqrt (+ (pow (exp x) 3) (pow 1 3)))
15.0ms	(sqrt (+ (exp x) 1))

prune307.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (exp x) 1) (+ (exp x) 1))
0.1b	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
0.0b	(+ (exp x) 1)
0.0b	(+ (exp x) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

35×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`cbrt-div`
16×	`associate-*l/`
10×	`associate-*r/`
9×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`+-commutative`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod`

Calls

4 calls:

Slowest

27.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
18.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
3.0ms	(+ (exp x) 1)
3.0ms	(+ (exp x) 1)

series36.0ms

Calls

4 calls:

Slowest

15.0ms	(* (+ (exp x) 1) (+ (exp x) 1))
7.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
7.0ms	(+ (exp x) 1)
6.0ms	(+ (exp x) 1)

simplify14.7s

Calls

65 calls:

Slowest

1.0s	(cbrt (* (* (+ (pow (exp x) 3) (pow 1 3)) (- (* (exp x) (exp x)) (* 1 1))) (- (* (exp x) (exp x)) (* 1 1))))
847.0ms	(cbrt (* (* (+ (exp x) 1) (+ (exp x) 1)) (- (* (exp x) (exp x)) (* 1 1))))
705.0ms	(* (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)) (* (* (+ (exp x) 1) (+ (exp x) 1)) (+ (exp x) 1)))
655.0ms	(cbrt (* (* (- (* (exp x) (exp x)) (* 1 1)) (- (* (exp x) (exp x)) (* 1 1))) (+ (exp x) 1)))
601.0ms	(cbrt (* (* (- (* (exp x) (exp x)) (* 1 1)) (+ (pow (exp x) 3) (pow 1 3))) (+ (pow (exp x) 3) (pow 1 3))))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample10.1s

Algorithm

intervals

Results

7.0s	6530×	body	10240	exit
1.7s	12485×	body	80	nan
865.0ms	7436×	body	80	valid
205.0ms	708×	body	160	valid