Details

sample34.0ms

Algorithm

intervals

Results

24.0ms

511×

body

valid

simplify152.0ms

Calls

1 calls:

Slowest

152.0ms

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

prune12.0ms

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 (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`

Calls

1 calls:

Slowest

3.0ms

(exp (fma x x -1))

series47.0ms

Calls

1 calls:

Slowest

47.0ms

(exp (fma x x -1))

simplify466.0ms

Calls

8 calls:

Slowest

338.0ms	(+ (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))))
10.0ms	(exp (sqrt (fma x x -1)))
9.0ms	(exp (fma x x -1))
9.0ms	(exp (fma x x -1))

prune154.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

2.0ms

(pow E (fma x x -1))

series48.0ms

Calls

1 calls:

Slowest

48.0ms

(pow E (fma x x -1))

simplify404.0ms

Calls

12 calls:

Slowest

262.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))
54.0ms	(pow (* (cbrt E) (cbrt E)) (fma x x -1))
25.0ms	(* 1 (fma x x -1))
23.0ms	(* (log E) (fma x x -1))
10.0ms	(pow 1 (fma x x -1))

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x x) (* x x))
0.0b	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

113×	`pow1`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
14×	`add-cbrt-cube` `add-exp-log`
13×	`pow2`
8×	`prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `fma-udef` `unswap-sqr`

Calls

2 calls:

Slowest

46.0ms	(* (* x x) (* x x))
0.0ms	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))

series184.0ms

Calls

2 calls:

Slowest

117.0ms	(fma (fma 1/2 (* (* x x) (* x x)) (* x x)) (exp -1) (exp -1))
67.0ms	(* (* x x) (* x x))

simplify2.6s

Calls

73 calls:

Slowest

393.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) (* x x)) (* x x)))
352.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) (* x x)) (* x x)))
347.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* (* x x) x) (* (* x x) x)))
286.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x)))
279.0ms	(+ (exp -1) (+ (* (pow x 2) (exp -1)) (* 1/2 (* (pow x 4) (exp -1)))))

prune771.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

4.0ms	(pow E (fma x x -1))
3.0ms	(cbrt (pow E (fma x x -1)))
3.0ms	(cbrt (pow E (fma x x -1)))
3.0ms	(cbrt (pow E (fma x x -1)))

series777.0ms

Calls

4 calls:

Slowest

270.0ms	(cbrt (pow E (fma x x -1)))
237.0ms	(cbrt (pow E (fma x x -1)))
221.0ms	(cbrt (pow E (fma x x -1)))
47.0ms	(pow E (fma x x -1))

simplify4.4s

Calls

45 calls:

Slowest

454.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
427.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
409.0ms	(cbrt (* (cbrt (pow E (fma x x -1))) (cbrt (pow E (fma x x -1)))))
389.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))
377.0ms	(+ (* 1/18 (* (pow x 4) (exp -1/3))) (+ (exp -1/3) (* 1/3 (* (pow x 2) (exp -1/3)))))

prune920.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

16042×

body

valid