Details

sample63.0ms

Algorithm

intervals

Results

27.0ms	84×	body	1280	valid
11.0ms	50×	body	640	valid
10.0ms	196×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	18×	body	160	valid

simplify89.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

89.0ms

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

prune16.0ms

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	(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))

series39.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

39.0ms

(expm1 (* a x))

simplify320.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

164.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
97.0ms	(- (exp (* a x)) 1)
55.0ms	(- (exp (* a x)) 1)
2.0ms	(* a x)

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
0.3b	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

8.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (expm1 (* a x)))
144.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
116.0ms	(cbrt (expm1 (* a x)))
113.0ms	(cbrt (expm1 (* a x)))

simplify3.6s

Counts

65 → 97

Calls

65 calls:

Slowest

373.0ms	(pow (- (exp (* a x)) 1) 1/3)
370.0ms	(pow (- (exp (* a x)) 1) 1/3)
350.0ms	(pow (- (exp (* a x)) 1) 1/3)
337.0ms	(pow (- (exp (* a x)) 1) 1/3)
336.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune890.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))
9.8b	(cbrt (expm1 (* a x)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

Slowest

1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(cbrt (expm1 (* a x)))
126.0ms	(cbrt (expm1 (* a x)))
122.0ms	(cbrt (expm1 (* a x)))
116.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Counts

24 → 68

Calls

24 calls:

Slowest

439.0ms	(pow (- (exp (* a x)) 1) 1/3)
438.0ms	(pow (- (exp (* a x)) 1) 1/3)
402.0ms	(pow (- (exp (* a x)) 1) 1/3)
378.0ms	(pow (- (exp (* a x)) 1) 1/3)
374.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s	2694×	body	1280	valid
420.0ms	5565×	body	80	valid
336.0ms	1291×	body	640	valid
223.0ms	743×	body	320	valid
51.0ms	409×	body	160	valid