Details

sample55.0ms

Algorithm

intervals

Results

29.0ms	92×	body	1280	valid
8.0ms	44×	body	640	valid
6.0ms	155×	body	80	valid
3.0ms	23×	body	320	valid
2.0ms	17×	body	160	valid

simplify54.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

53.0ms

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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

1.0ms

(expm1 (* a x))

series35.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

35.0ms

(expm1 (* a x))

simplify275.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

130.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
71.0ms	(- (exp (* a x)) 1)
70.0ms	(- (exp (* a x)) 1)
2.0ms	(* a x)

prune148.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

9.7b	(sqrt (expm1 (* a x)))
9.7b	(sqrt (expm1 (* a x)))
0.1b	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
0.0b	(expm1 (* a x))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up` `log1p-expm1-u`
4×	`expm1-log1p-u` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `expm1-log1p` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 96

Calls

4 calls:

Slowest

23.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))
2.0ms	(sqrt (expm1 (* a x)))
2.0ms	(sqrt (expm1 (* a x)))
1.0ms	(expm1 (* a x))

series195.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(sqrt (expm1 (* a x)))
54.0ms	(sqrt (expm1 (* a x)))
39.0ms	(expm1 (* a x))
35.0ms	(* (sqrt (expm1 (* a x))) (sqrt (expm1 (* a x))))

simplify2.1s

Counts

83 → 108

Calls

83 calls:

Slowest

184.0ms	(sqrt (- (exp (* a x)) 1))
178.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
173.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
168.0ms	(sqrt (- (exp (* a x)) 1))
157.0ms	(sqrt (- (exp (* a x)) 1))

prune932.0ms

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

sample2.7s

Algorithm

intervals

Results

1.6s	2694×	body	1280	valid
382.0ms	1369×	body	640	valid
333.0ms	5327×	body	80	valid
169.0ms	777×	body	320	valid
77.0ms	420×	body	160	valid