Details

sample63.0ms

Algorithm

intervals

Results

32.0ms	99×	body	1280	valid
8.0ms	180×	body	80	valid
7.0ms	35×	body	640	valid
4.0ms	29×	body	320	valid
1.0ms	11×	body	160	valid

simplify93.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

93.0ms

(- (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`

Counts

1 → 12

Calls

1 calls:

Slowest

0.0ms

(expm1 (* a x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

38.0ms

(expm1 (* a x))

simplify376.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

196.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
104.0ms	(- (exp (* a x)) 1)
72.0ms	(- (exp (* a x)) 1)
3.0ms	(* a x)

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

12.1b	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))
4.3b	(* (* (* (* a x) (* a x)) x) a)
2.5b	(* (* (* a x) (* a x)) x)
0.2b	(fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x))

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1` `add-cbrt-cube` `add-exp-log`
32×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l` `*-commutative` `fma-udef`
1×	`unswap-sqr`

Counts

4 → 86

Calls

4 calls:

Slowest

298.0ms	(* (* (* (* a x) (* a x)) x) a)
101.0ms	(* (* (* a x) (* a x)) x)
1.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))
0.0ms	(fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x))

series451.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x))
143.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))
88.0ms	(* (* (* (* a x) (* a x)) x) a)
71.0ms	(* (* (* a x) (* a x)) x)

simplify7.3s

Counts

53 → 98

Calls

53 calls:

Slowest

431.0ms	(* (* (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x))) (* (* x x) x)) (* (* a a) a))
429.0ms	(+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))
416.0ms	(* (* (* (* (* (* a a) a) (* (* x x) x)) (* (* (* a x) (* a x)) (* a x))) (* (* x x) x)) (* (* a a) a))
390.0ms	(+ (* a x) (* 1/6 (* (pow a 3) (pow x 3))))
387.0ms	(* (* (* (* (* (* a x) (* a x)) (* (* a x) (* a x))) (* (* a x) (* a x))) (* (* x x) x)) (* (* a a) a))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2682×	body	1280	valid
388.0ms	1333×	body	640	valid
324.0ms	5391×	body	80	valid
167.0ms	761×	body	320	valid
85.0ms	426×	body	160	valid