Details

sample48.0ms

Algorithm

intervals

Results

21.0ms	83×	body	1280	valid
8.0ms	45×	body	640	valid
6.0ms	163×	body	80	valid
3.0ms	26×	body	320	valid
1.0ms	14×	body	160	valid

simplify61.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

60.0ms

(- (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`

Counts

1 → 12

Calls

1 calls:

Slowest

0.0ms

(expm1 (* a x))

series50.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

50.0ms

(expm1 (* a x))

simplify320.0ms

Counts

4 → 15

Calls

4 calls:

Slowest

160.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
90.0ms	(- (exp (* a x)) 1)
64.0ms	(- (exp (* a x)) 1)
5.0ms	(* a x)

prune115.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

19.1b	(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))

rewrite65.0ms

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

31.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
20.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
1.0ms	(expm1 (* a x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
58.0ms	(expm1 (* a x))
57.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
56.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify4.4s

Counts

61 → 96

Calls

61 calls:

Slowest

673.0ms	(pow (- (exp (* a x)) 1) 2)
546.0ms	(pow (- (exp (* a x)) 1) 2)
506.0ms	(* (* (* (* (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))))
373.0ms	(* (* (* (* (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))))
369.0ms	(+ (* 7/12 (* (pow a 4) (pow x 4))) (+ (* (pow a 3) (pow x 3)) (* (pow a 2) (pow x 2))))

prune917.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

19.1b	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))
8.3b	(cbrt (expm1 (* a x)))
8.3b	(cbrt (expm1 (* a x)))
8.3b	(cbrt (expm1 (* a x)))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`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 → 54

Calls

4 calls:

Slowest

448.0ms	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))
1.0ms	(cbrt (expm1 (* a x)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(cbrt (expm1 (* a x)))
127.0ms	(cbrt (expm1 (* a x)))
107.0ms	(cbrt (expm1 (* a x)))
38.0ms	(cbrt (* (* (* (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x))))) (expm1 (* a x))))

simplify3.4s

Counts

22 → 66

Calls

22 calls:

Slowest

441.0ms	(pow (- (exp (* a x)) 1) 1/3)
394.0ms	(pow (- (exp (* a x)) 1) 1/3)
385.0ms	(pow (- (exp (* a x)) 1) 1/3)
374.0ms	(pow (- (exp (* a x)) 1) 1/3)
353.0ms	(pow (- (exp (* a x)) 1) 1/3)

prune643.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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	2772×	body	1280	valid
390.0ms	5408×	body	80	valid
382.0ms	1275×	body	640	valid
156.0ms	723×	body	320	valid
45.0ms	389×	body	160	valid