Details

sample54.0ms

Algorithm

intervals

Results

40.0ms

511×

body

valid

simplify139.0ms

Calls

1 calls:

Slowest

139.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`exp-prod`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `exp-sum` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `rem-exp-log`

Calls

1 calls:

Slowest

2.0ms

(exp (fma x x -1))

series25.0ms

Calls

1 calls:

Slowest

25.0ms

(exp (fma x x -1))

simplify231.0ms

Calls

8 calls:

Slowest

155.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
35.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
14.0ms	(exp (fma x x -1))
9.0ms	(exp (sqrt (fma x x -1)))
9.0ms	(exp (fma x x -1))

prune129.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`pow-unpow`
2×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow-to-exp` `pow1` `unpow-prod-up` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

1.0ms

(pow E (fma x x -1))

series58.0ms

Calls

1 calls:

Slowest

58.0ms

(pow E (fma x x -1))

simplify200.0ms

Calls

7 calls:

Slowest

166.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
11.0ms	(exp (fma x x -1))
9.0ms	(exp (fma x x -1))
4.0ms	(cbrt (fma x x -1))
4.0ms	(sqrt (fma x x -1))

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Calls

1 calls:

Slowest

0.0ms

(fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1))

series104.0ms

Calls

1 calls:

Slowest

104.0ms

(fma (fma 1/2 (pow x 4) (* x x)) (exp -1) (exp -1))

simplify457.0ms

Calls

3 calls:

Slowest

157.0ms

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

157.0ms

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

142.0ms

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

prune181.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `unpow-prod-up` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp`

Calls

4 calls:

Slowest

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

series717.0ms

Calls

4 calls:

Slowest

240.0ms	(cbrt (pow E (fma x x -1)))
216.0ms	(cbrt (pow E (fma x x -1)))
192.0ms	(cbrt (pow E (fma x x -1)))
70.0ms	(pow E (fma x x -1))

simplify1.6s

Calls

28 calls:

Slowest

269.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
220.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
218.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
156.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
94.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))

prune807.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

16042×

body

valid