Details

sample40.0ms

Algorithm

intervals

Results

24.0ms

495×

body

valid

simplify49.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x x))
0.0b	(exp (- (- 1.0 (* x x))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
8×	`add-sqr-sqrt` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
3×	`rem-exp-log` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `distribute-neg-in` `diff-log` `exp-sum` `neg-log` `add-cbrt-cube`
1×	`neg-sub0` `exp-neg` `neg-mul-1` `flip3--` `exp-diff` `flip--`

Counts

2 → 39

Calls

2 calls:

5.0ms	(- 1.0 (* x x))
21.0ms	(exp (- (- 1.0 (* x x))))

series73.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- 1.0 (* x x))
26.0ms	(exp (- (- 1.0 (* x x))))

simplify57.0ms

Counts: 45 → 45

prune87.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (+ (sqrt 1.0) x))
0.0b	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `pow-unpow` `*-un-lft-identity`
8×	`add-cube-cbrt` `exp-prod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`pow-pow` `add-log-exp`
4×	`unpow-prod-down` `difference-of-squares`
3×	`pow1`
2×	`unpow-prod-up` `add-exp-log` `distribute-neg-in` `exp-sum` `sqrt-prod` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out` `distribute-lft-out--`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sub-neg` `pow-exp` `sum-log` `pow-sub` `sqr-pow`

Counts

2 → 53

Calls

2 calls:

22.0ms	(exp (+ (sqrt 1.0) x))
44.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

series205.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (+ (sqrt 1.0) x))
183.0ms	(pow (exp (+ (sqrt 1.0) x)) (- (- (sqrt 1.0) x)))

simplify135.0ms

Counts: 59 → 59

prune125.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) 1.0)
0.0b	(exp (- (pow x 2) 1.0))
1.0b	(pow (exp (- (pow x 2) 1.0)) 3)
1.8b	(cbrt (pow (exp (- (pow x 2) 1.0)) 3))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
16×	`cbrt-prod` `exp-prod`
13×	`unpow-prod-down`
12×	`add-cube-cbrt` `difference-of-squares`
10×	`cube-prod` `exp-sum`
9×	`pow-pow` `add-log-exp`
6×	`sub-neg`
5×	`pow1` `add-cbrt-cube` `sqr-pow`
4×	`add-exp-log`
3×	`pow-unpow` `exp-diff` `distribute-lft-out--` `unpow2`
2×	`cube-div` `cube-mult` `diff-log` `unpow3` `rem-exp-log`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow1/3` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 99

Calls

4 calls:

15.0ms	(- (pow x 2) 1.0)
35.0ms	(exp (- (pow x 2) 1.0))
46.0ms	(pow (exp (- (pow x 2) 1.0)) 3)
20.0ms	(cbrt (pow (exp (- (pow x 2) 1.0)) 3))

series185.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (pow x 2) 1.0)
28.0ms	(exp (- (pow x 2) 1.0))
89.0ms	(pow (exp (- (pow x 2) 1.0)) 3)
26.0ms	(cbrt (pow (exp (- (pow x 2) 1.0)) 3))

simplify34.0ms

Counts: 111 → 111

prune200.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- (sqrt (- 1.0 (* x x))))) (sqrt (- 1.0 (* x x))))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(sqrt (- 1.0 (* x x)))
0.0b	(exp (- (sqrt (- 1.0 (* x x)))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`exp-prod`
28×	`add-sqr-sqrt` `sqrt-prod`
19×	`add-cube-cbrt` `pow-pow` `*-un-lft-identity`
14×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`pow1` `pow-unpow` `difference-of-squares`
6×	`add-log-exp`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube`
3×	`unpow-prod-down`
2×	`neg-mul-1` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--` `rem-exp-log`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `exp-diff` `neg-log` `pow-exp` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

36.0ms	(pow (exp (- (sqrt (- 1.0 (* x x))))) (sqrt (- 1.0 (* x x))))
5.0ms	(sqrt (- 1.0 (* x x)))
5.0ms	(sqrt (- 1.0 (* x x)))
28.0ms	(exp (- (sqrt (- 1.0 (* x x)))))

series437.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(pow (exp (- (sqrt (- 1.0 (* x x))))) (sqrt (- 1.0 (* x x))))
62.0ms	(sqrt (- 1.0 (* x x)))
62.0ms	(sqrt (- 1.0 (* x x)))
92.0ms	(exp (- (sqrt (- 1.0 (* x x)))))

simplify37.0ms

Counts: 112 → 112

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample877.0ms

Algorithm

intervals

Results

592.0ms

15970×

body

valid