Details

sample85.0ms

Algorithm

intervals

Results

38.0ms	81×	body	1280	valid
12.0ms	185×	body	80	valid
12.0ms	37×	body	640	valid
5.0ms	25×	body	320	valid
2.0ms	17×	body	160	valid

simplify70.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

70.0ms

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

prune8.0ms

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

0.0ms

(expm1 (* a x))

series43.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

43.0ms

(expm1 (* a x))

simplify257.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

121.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
73.0ms	(- (exp (* a x)) 1)
60.0ms	(- (exp (* a x)) 1)
3.0ms	(* a x)

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

17.2b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.2b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `expm1-log1p` `pow1/3` `rem-cbrt-cube` `expm1-udef`

Counts

4 → 84

Calls

4 calls:

Slowest

29.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
21.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
12.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series194.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

55.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
51.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
46.0ms	(expm1 (* a x))
41.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify3.7s

Counts

61 → 96

Calls

61 calls:

Slowest

426.0ms	(* (* (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))) (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
398.0ms	(pow (- (exp (* a x)) 1) 3)
373.0ms	(pow (- (exp (* a x)) 1) 3)
289.0ms	(pow (- (exp (* a x)) 1) 2)
224.0ms	(pow (- (exp (* a x)) 1) 2)

prune963.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

13.3b	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))
3.1b	(* (* (* (* a x) (* a x)) x) a)
0.9b	(* (* (* a x) (* a x)) x)
0.2b	(* (* a x) (* a x))

rewrite423.0ms

Algorithm

rewrite-expression-head

Rules

86×	`pow1`
59×	`add-cbrt-cube` `add-exp-log`
49×	`pow-prod-down`
40×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `fma-udef` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

Slowest

306.0ms	(* (* (* (* a x) (* a x)) x) a)
81.0ms	(* (* (* a x) (* a x)) x)
31.0ms	(* (* a x) (* a x))
1.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

117.0ms	(fma (* (* a x) (* a x)) 1/2 (fma 1/6 (* (* (* (* a x) (* a x)) x) a) (* a x)))
73.0ms	(* (* (* a x) (* a x)) x)
71.0ms	(* (* (* (* a x) (* a x)) x) a)
60.0ms	(* (* a x) (* a x))

simplify9.2s

Counts

85 → 124

Calls

85 calls:

Slowest

758.0ms	(* (* (* (* a a) a) (* (* x x) x)) (* (* (* a a) a) (* (* x x) x)))
637.0ms	(* (* (* (* a x) (* a x)) (* a x)) (* (* (* a x) (* a x)) (* a x)))
430.0ms	(* (* (* (* (* (* a x) (* a x)) (* a x)) (* (* (* a a) a) (* (* x x) x))) (* (* x x) x)) (* (* a a) a))
414.0ms	(* (* (* (* (* (* a x) (* a x)) (* (* a x) (* a x))) (* (* a x) (* a x))) (* (* x x) x)) (* (* a a) a))
397.0ms	(* (* (* (* (* (* a a) a) (* (* x x) x)) (* (* (* a x) (* a x)) (* a x))) (* (* x x) x)) (* (* a a) a))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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

1.1s	2746×	body	1280	valid
550.0ms	751×	body	320	valid
396.0ms	1285×	body	640	valid
393.0ms	5634×	body	80	valid
46.0ms	386×	body	160	valid