Details

sample53.0ms

Algorithm

intervals

Results

39.0ms

511×

body

valid

simplify88.0ms

Calls

1 calls:

Slowest

88.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (- 1 (* x x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`exp-prod`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `add-log-exp`
2×	`distribute-neg-in` `exp-sum` `rem-exp-log`
1×	`neg-sub0` `exp-neg` `pow1` `neg-mul-1` `sub-neg` `add-cbrt-cube` `exp-diff` `neg-log` `add-exp-log` `insert-posit16`

Calls

1 calls:

Slowest

4.0ms

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

series21.0ms

Calls

1 calls:

Slowest

21.0ms

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

simplify482.0ms

Calls

17 calls:

Slowest

137.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
53.0ms	(exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x))))))
46.0ms	(- (- 1 (* x x)))
38.0ms	(exp (- (pow x 2) 1))
37.0ms	(exp (- (pow x 2) 1))

prune172.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(pow E (- (- 1 (* x x))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow-unpow`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`unpow-prod-up` `distribute-neg-in`
1×	`neg-sub0` `pow-to-exp` `pow1` `pow-neg` `neg-mul-1` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `pow-sub` `add-log-exp`

Calls

1 calls:

Slowest

2.0ms

(pow E (- (- 1 (* x x))))

series63.0ms

Calls

1 calls:

Slowest

63.0ms

(pow E (- (- 1 (* x x))))

simplify508.0ms

Calls

17 calls:

Slowest

94.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
50.0ms	(sqrt (- (- 1 (* x x))))
45.0ms	(cbrt (- (- 1 (* x x))))
44.0ms	(- (- 1 (* x x)))
29.0ms	(- (- 1 (* x x)))

prune126.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (exp -1) (+ (* x x) (* 1/2 (pow x 4))))
0.0b	(+ (* (exp -1) (+ (* x x) (* 1/2 (pow x 4)))) (exp -1))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

2 calls:

Slowest

7.0ms	(+ (* (exp -1) (+ (* x x) (* 1/2 (pow x 4)))) (exp -1))
6.0ms	(* (exp -1) (+ (* x x) (* 1/2 (pow x 4))))

series346.0ms

Calls

2 calls:

Slowest

243.0ms	(* (exp -1) (+ (* x x) (* 1/2 (pow x 4))))
102.0ms	(+ (* (exp -1) (+ (* x x) (* 1/2 (pow x 4)))) (exp -1))

simplify1.4s

Calls

21 calls:

Slowest

302.0ms	(+ (* (* x x) (* x x)) (- (* (* 1/2 (pow x 4)) (* 1/2 (pow x 4))) (* (* x x) (* 1/2 (pow x 4)))))
209.0ms	(* (* (* (exp -1) (exp -1)) (exp -1)) (* (* (+ (* x x) (* 1/2 (pow x 4))) (+ (* x x) (* 1/2 (pow x 4)))) (+ (* x x) (* 1/2 (pow x 4)))))
182.0ms	(* (exp (* (exp -1) (+ (* x x) (* 1/2 (pow x 4))))) (exp (exp -1)))
125.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
112.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))

prune370.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow E (- (- 1 (* x x)))))
1.0b	(cbrt (pow E (- (- 1 (* x x)))))
1.0b	(cbrt (pow E (- (- 1 (* x x)))))
0.1b	(pow E (- (- 1 (* x x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `pow-unpow` `*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-up` `distribute-neg-in`
6×	`cbrt-div`
4×	`neg-sub0` `pow1` `pow-neg` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `pow-sub` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3`
1×	`pow-to-exp` `neg-mul-1`

Calls

4 calls:

Slowest

1.0ms	(cbrt (pow E (- (- 1 (* x x)))))
1.0ms	(pow E (- (- 1 (* x x))))
1.0ms	(cbrt (pow E (- (- 1 (* x x)))))
1.0ms	(cbrt (pow E (- (- 1 (* x x)))))

series619.0ms

Calls

4 calls:

Slowest

218.0ms	(cbrt (pow E (- (- 1 (* x x)))))
194.0ms	(cbrt (pow E (- (- 1 (* x x)))))
169.0ms	(cbrt (pow E (- (- 1 (* x x)))))
36.0ms	(pow E (- (- 1 (* x x))))

simplify2.4s

Calls

47 calls:

Slowest

483.0ms	(exp (* 1/3 (- (pow x 2) 1)))
171.0ms	(exp (* 1/3 (- (pow x 2) 1)))
170.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
153.0ms	(exp (* 1/3 (- (pow x 2) 1)))
143.0ms	(exp (* 1/3 (- (pow x 2) 1)))

prune649.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

16042×

body

valid