Details

sample49.0ms

Algorithm

intervals

Results

36.0ms

505×

body

valid

simplify151.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

151.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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`

Counts

1 → 15

Calls

1 calls:

Slowest

3.0ms

(exp (fma x x -1))

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

(exp (fma x x -1))

simplify394.0ms

Counts

8 → 18

Calls

8 calls:

Slowest

278.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
69.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
20.0ms	(exp (sqrt (fma x x -1)))
12.0ms	(exp (* x x))
5.0ms	(exp (fma x x -1))

prune143.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(log1p (exp (fma x x -1)))
0.0b	(exp (fma x x -1))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

Slowest

4.0ms	(exp (fma x x -1))
1.0ms	(log1p (exp (fma x x -1)))
1.0ms	(expm1 (log1p (exp (fma x x -1))))

series523.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

313.0ms	(expm1 (log1p (exp (fma x x -1))))
187.0ms	(log1p (exp (fma x x -1)))
23.0ms	(exp (fma x x -1))

simplify997.0ms

Counts

16 → 48

Calls

16 calls:

Slowest

294.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
233.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
201.0ms	(- (+ (* 1/2 (/ (* (pow x 4) (exp -1)) (+ (exp -1) 1))) (+ (/ (* (pow x 2) (exp -1)) (+ (exp -1) 1)) (log (+ (exp -1) 1)))) (* 1/2 (/ (* (pow x 4) (pow (exp -1) 2)) (pow (+ (exp -1) 1) 2))))
69.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
64.0ms	(log (+ (exp (fma x x -1)) 1))

prune438.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(cbrt (expm1 (log1p (exp (fma x x -1)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `expm1-log1p` `expm1-udef`
1×	`pow1/3`

Counts

4 → 50

Calls

4 calls:

Slowest

1.0ms	(cbrt (expm1 (log1p (exp (fma x x -1)))))
1.0ms	(expm1 (log1p (exp (fma x x -1))))
0.0ms	(expm1 (log1p (exp (fma x x -1))))
0.0ms	(expm1 (log1p (exp (fma x x -1))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

466.0ms	(cbrt (expm1 (log1p (exp (fma x x -1)))))
284.0ms	(expm1 (log1p (exp (fma x x -1))))
237.0ms	(expm1 (log1p (exp (fma x x -1))))
226.0ms	(expm1 (log1p (exp (fma x x -1))))

simplify1.8s

Counts

18 → 62

Calls

18 calls:

Slowest

392.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
292.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
290.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
286.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
155.0ms	(cbrt (sqrt (expm1 (log1p (exp (fma x x -1))))))

prune721.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(expm1 (log1p (exp (fma x x -1))))
1.0b	(cbrt (expm1 (log1p (exp (fma x x -1)))))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `expm1-log1p` `expm1-udef`
1×	`pow1/3`

Counts

4 → 50

Calls

4 calls:

Slowest

1.0ms	(cbrt (expm1 (log1p (exp (fma x x -1)))))
1.0ms	(expm1 (log1p (exp (fma x x -1))))
0.0ms	(expm1 (log1p (exp (fma x x -1))))
0.0ms	(expm1 (log1p (exp (fma x x -1))))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

423.0ms	(cbrt (expm1 (log1p (exp (fma x x -1)))))
296.0ms	(expm1 (log1p (exp (fma x x -1))))
279.0ms	(expm1 (log1p (exp (fma x x -1))))
235.0ms	(expm1 (log1p (exp (fma x x -1))))

simplify1.5s

Counts

18 → 62

Calls

18 calls:

Slowest

324.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
290.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
282.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
231.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
132.0ms	(cbrt (* (cbrt (expm1 (log1p (exp (fma x x -1))))) (cbrt (expm1 (log1p (exp (fma x x -1)))))))

prune712.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

15860×

body

valid