Details

sample46.0ms

Algorithm

intervals

Results

20.0ms	87×	body	1280	valid
10.0ms	58×	body	640	valid
6.0ms	160×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(expm1 (* a x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

1 calls:

Slowest

0.0ms

(expm1 (* a x))

series26.0ms

Calls

1 calls:

Slowest

26.0ms

(expm1 (* a x))

simplify258.0ms

Calls

4 calls:

Slowest

223.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
16.0ms	(- (exp (* a x)) 1)
16.0ms	(- (exp (* a x)) 1)
2.0ms	(* a x)

prune121.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

10.1b	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))
0.3b	(* (* a x) (* a x))
0.3b	(* (* a x) (* a x))
0.1b	(* (* (* a x) (* a x)) (* a x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
7×	`pow-plus` `pow-prod-up`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`pow2` `add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative`
1×	`pow3` `fma-udef`

Calls

4 calls:

Slowest

24.0ms	(* (* (* a x) (* a x)) (* a x))
9.0ms	(* (* a x) (* a x))
9.0ms	(* (* a x) (* a x))
1.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))

series137.0ms

Calls

4 calls:

Slowest

72.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* a x) (* a x)) (* a x)) (* a x)))
32.0ms	(* (* (* a x) (* a x)) (* a x))
16.0ms	(* (* a x) (* a x))
16.0ms	(* (* a x) (* a x))

simplify3.5s

Calls

41 calls:

Slowest

811.0ms	(* (* (* (* (* a x) (* a x)) (* (* a x) (* a x))) (* (* a x) (* a x))) (* (* (* a x) (* a x)) (* a x)))
733.0ms	(* (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x))) (* (* (* a x) (* a x)) (* a x)))
297.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
294.0ms	(* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x)))
263.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))

prune902.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	2700×	body	1280	valid
405.0ms	1330×	body	640	valid
329.0ms	5360×	body	80	valid
140.0ms	786×	body	320	valid
48.0ms	404×	body	160	valid