Details

sample30.0ms

Algorithm

intervals

Results

21.0ms

495×

body

valid

simplify128.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

128.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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`

Counts

1 → 15

Calls

1 calls:

Slowest

2.0ms

(exp (fma x x -1))

series27.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

27.0ms

(exp (fma x x -1))

simplify435.0ms

Counts

8 → 18

Calls

8 calls:

Slowest

293.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
91.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
19.0ms	(exp (sqrt (fma x x -1)))
13.0ms	(exp (* x x))
7.0ms	(exp (fma x x -1))

prune118.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite3.0ms

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

2.0ms	(exp (fma x x -1))
0.0ms	(log1p (exp (fma x x -1)))
0.0ms	(expm1 (log1p (exp (fma x x -1))))

series482.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

283.0ms	(expm1 (log1p (exp (fma x x -1))))
176.0ms	(log1p (exp (fma x x -1)))
23.0ms	(exp (fma x x -1))

simplify1.0s

Counts

16 → 48

Calls

16 calls:

Slowest

295.0ms	(+ (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)))))
171.0ms	(- (+ (* 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))))
76.0ms	(exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
63.0ms	(log (+ (exp (fma x x -1)) 1))

prune487.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`sqrt-pow1`
24×	`exp-prod`
22×	`sqrt-prod`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
9×	`swap-sqr`
8×	`pow1/2` `pow-prod-up`
7×	`associate-r` `associate-l`
6×	`exp-sum` `pow-prod-down` `pow-sqr` `fma-udef`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`rem-exp-log`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 94

Calls

3 calls:

Slowest

18.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1))))
2.0ms	(exp (fma x x -1))
2.0ms	(exp (fma x x -1))

series111.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

43.0ms	(exp (fma x x -1))
36.0ms	(exp (fma x x -1))
32.0ms	(* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1))))

simplify6.4s

Counts

101 → 103

Calls

101 calls:

Slowest

332.0ms	(* (* (* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1)))) (sqrt (exp (fma x x -1)))) (* (* (sqrt (exp (fma x x -1))) (sqrt (exp (fma x x -1)))) (sqrt (exp (fma x x -1)))))
298.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
288.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
287.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
278.0ms	(* (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (exp (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))))

prune835.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

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

15786×

body

valid