Details

sample42.0ms

Algorithm

intervals

Results

31.0ms

505×

body

valid

simplify134.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

134.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 29

Calls

1 calls:

Slowest

17.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

25.0ms

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

simplify784.0ms

Counts

21 → 32

Calls

21 calls:

Slowest

173.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
115.0ms	(exp (* (cbrt (- (- 1 (* x x)))) (cbrt (- (- 1 (* x x))))))
111.0ms	(exp (- (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))))
80.0ms	(exp (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))
52.0ms	(exp (- (+ (sqrt 1) x)))

prune187.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (exp (+ 1 x)) (- (- 1 x)))
0.0b	(exp (+ 1 x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`pow-unpow`
14×	`add-sqr-sqrt`
8×	`exp-prod` `add-cube-cbrt`
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` `distribute-neg-in` `add-cbrt-cube` `exp-sum` `add-exp-log` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `rem-exp-log`
1×	`neg-sub0` `pow-to-exp` `pow-neg` `neg-mul-1` `sum-log` `sub-neg` `pow-exp` `pow-sub` `sqr-pow`

Counts

2 → 55

Calls

2 calls:

Slowest

25.0ms	(pow (exp (+ 1 x)) (- (- 1 x)))
14.0ms	(exp (+ 1 x))

series154.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

141.0ms	(pow (exp (+ 1 x)) (- (- 1 x)))
13.0ms	(exp (+ 1 x))

simplify2.1s

Counts

43 → 61

Calls

43 calls:

Slowest

390.0ms	(* (+ 1 x) (- (- 1 x)))
240.0ms	(pow (* (cbrt (exp (+ 1 x))) (cbrt (exp (+ 1 x)))) (- (- 1 x)))
212.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
165.0ms	(exp (* (+ x 1) (- x 1)))
135.0ms	(exp (* -1 (* (- 1 x) (+ x 1))))

prune308.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
1.0b	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
1.0b	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
0.0b	(pow (exp (+ 1 x)) (- (- 1 x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
16×	`pow-unpow` `unpow-prod-down`
15×	`add-cube-cbrt`
8×	`unpow-prod-up` `distribute-neg-in`
6×	`distribute-lft-neg-in` `cbrt-div` `distribute-rgt-neg-in`
5×	`pow1` `pow-pow`
4×	`neg-sub0` `exp-prod` `pow-neg` `sub-neg` `add-cbrt-cube` `exp-sum` `add-exp-log` `insert-posit16` `pow-sub` `add-log-exp` `difference-of-squares` `sqr-pow`
3×	`pow1/3`
2×	`distribute-lft-out--`
1×	`pow-to-exp` `neg-mul-1` `pow-exp` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

Slowest

16.0ms	(pow (exp (+ 1 x)) (- (- 1 x)))
6.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
6.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
6.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))

series913.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

305.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
255.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
249.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
102.0ms	(pow (exp (+ 1 x)) (- (- 1 x)))

simplify9.3s

Counts

78 → 115

Calls

78 calls:

Slowest

382.0ms	(* (+ 1 x) (- (- 1 x)))
322.0ms	(cbrt (pow (exp (+ 1 x)) (/ (- (- 1 x)) 2)))
304.0ms	(cbrt (pow (* (cbrt (exp (+ 1 x))) (cbrt (exp (+ 1 x)))) (- (- 1 x))))
298.0ms	(cbrt (pow (exp (+ 1 x)) (/ (- (- 1 x)) 2)))
294.0ms	(cbrt (* (cbrt (pow (exp (+ 1 x)) (- (- 1 x)))) (cbrt (pow (exp (+ 1 x)) (- (- 1 x))))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (exp (+ 1 x)))
1.5b	(cbrt (exp (+ 1 x)))
1.5b	(cbrt (exp (+ 1 x)))
1.0b	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `unpow-prod-down` `add-cbrt-cube` `pow1/3` `exp-sum` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`unpow-prod-up` `cbrt-div` `distribute-neg-in`
1×	`neg-sub0` `pow-neg` `sub-neg` `pow-sub` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

Slowest

15.0ms	(cbrt (exp (+ 1 x)))
14.0ms	(cbrt (exp (+ 1 x)))
9.0ms	(cbrt (exp (+ 1 x)))
7.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

666.0ms	(cbrt (pow (exp (+ 1 x)) (- (- 1 x))))
144.0ms	(cbrt (exp (+ 1 x)))
144.0ms	(cbrt (exp (+ 1 x)))
120.0ms	(cbrt (exp (+ 1 x)))

simplify4.0s

Counts

36 → 72

Calls

36 calls:

Slowest

380.0ms	(cbrt (pow (* (cbrt (exp (+ 1 x))) (cbrt (exp (+ 1 x)))) (- (- 1 x))))
365.0ms	(cbrt (* (cbrt (pow (exp (+ 1 x)) (- (- 1 x)))) (cbrt (pow (exp (+ 1 x)) (- (- 1 x))))))
350.0ms	(cbrt (sqrt (pow (exp (+ 1 x)) (- (- 1 x)))))
288.0ms	(cbrt (pow (exp (+ 1 x)) (/ (- (- 1 x)) 2)))
285.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

15860×

body

valid