Details

sample88.0ms

Algorithm

intervals

Results

44.0ms	91×	body	1280	valid
15.0ms	45×	body	640	valid
10.0ms	154×	body	80	valid
4.0ms	18×	body	320	valid
3.0ms	18×	body	160	valid

simplify104.0ms

Calls

1 calls:

Slowest

104.0ms

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

prune7.0ms

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))

series47.0ms

Calls

1 calls:

Slowest

47.0ms

(expm1 (* a x))

simplify242.0ms

Calls

4 calls:

Slowest

132.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
55.0ms	(- (exp (* a x)) 1)
49.0ms	(- (exp (* a x)) 1)
6.0ms	(* a x)

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

11.2b	(cbrt (expm1 (* a x)))
11.2b	(cbrt (expm1 (* a x)))
11.2b	(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`

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)))

series574.0ms

Calls

4 calls:

Slowest

159.0ms	(* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))
155.0ms	(cbrt (expm1 (* a x)))
130.0ms	(cbrt (expm1 (* a x)))
130.0ms	(cbrt (expm1 (* a x)))

simplify3.8s

Calls

65 calls:

Slowest

407.0ms	(pow (- (exp (* a x)) 1) 1/3)
402.0ms	(pow (- (exp (* a x)) 1) 1/3)
400.0ms	(pow (- (exp (* a x)) 1) 1/3)
385.0ms	(pow (- (exp (* a x)) 1) 1/3)
377.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune789.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

11.7b	(pow (expm1 (* a x)) 1/3)
11.2b	(cbrt (expm1 (* a x)))
11.2b	(cbrt (expm1 (* a x)))
0.1b	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
12×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-exp-log`
8×	`unpow-prod-down`
7×	`associate-l`
6×	`associate-r` `unswap-sqr`
5×	`pow1` `add-cbrt-cube` `pow1/3`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `prod-exp`
2×	`pow-to-exp` `unpow1/3` `pow-exp` `cbrt-unprod`
1×	`pow-pow` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Calls

4 calls:

Slowest

9.0ms	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))
2.0ms	(pow (expm1 (* a x)) 1/3)
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series497.0ms

Calls

4 calls:

Slowest

159.0ms	(* (pow (expm1 (* a x)) 1/3) (cbrt (expm1 (* a x))))
136.0ms	(cbrt (expm1 (* a x)))
108.0ms	(pow (expm1 (* a x)) 1/3)
94.0ms	(cbrt (expm1 (* a x)))

simplify9.6s

Calls

59 calls:

Slowest

570.0ms	(* (pow (expm1 (* a x)) (/ 1/3 2)) (cbrt (sqrt (expm1 (* a x)))))
569.0ms	(* (pow (expm1 (* a x)) (/ 1/3 2)) (sqrt (cbrt (expm1 (* a x)))))
562.0ms	(* (pow (expm1 (* a x)) (/ 1/3 2)) (sqrt (cbrt (expm1 (* a x)))))
540.0ms	(* (pow (sqrt (expm1 (* a x))) 1/3) (sqrt (cbrt (expm1 (* a x)))))
515.0ms	(* (pow (sqrt (expm1 (* a x))) 1/3) (sqrt (cbrt (expm1 (* a x)))))

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2691×	body	1280	valid
639.0ms	759×	body	320	valid
410.0ms	1353×	body	640	valid
323.0ms	5416×	body	80	valid
49.0ms	374×	body	160	valid