Details

sample71.0ms

Algorithm

intervals

Results

30.0ms	85×	body	1280	valid
12.0ms	47×	body	640	valid
9.0ms	164×	body	80	valid
5.0ms	25×	body	320	valid
2.0ms	18×	body	160	valid

simplify86.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

86.0ms

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

prune9.0ms

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))

series58.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

58.0ms

(expm1 (* a x))

simplify357.0ms

Counts

14 → 15

Calls

14 calls:

Slowest

110.0ms	(+ (* 1/2 (* (pow a 2) (pow x 2))) (+ (* a x) (* 1/6 (* (pow a 3) (pow x 3)))))
74.0ms	(- (exp (* a x)) 1)
57.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
51.0ms	(- (exp (* a x)) 1)
15.0ms	(exp (* a x))

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

18.2b	(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))

rewrite48.0ms

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

20.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
19.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
7.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series216.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
55.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
54.0ms	(expm1 (* a x))
48.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))

simplify6.0s

Counts

95 → 96

Calls

95 calls:

Slowest

505.0ms	(* (* (* (* (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))))
446.0ms	(* (* (* (* (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))))
364.0ms	(pow (- (exp (* a x)) 1) 3)
363.0ms	(pow (- (exp (* a x)) 1) 3)
266.0ms	(pow (- (exp (* a x)) 1) 2)

prune830.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

18.2b	(cbrt (pow (expm1 (* a x)) 3))
0.2b	(pow (expm1 (* a x)) 3)
0.0b	(expm1 (* a x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `pow-unpow` `insert-posit16` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `expm1-log1p` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `expm1-udef` `rem-cube-cbrt`

Counts

3 → 62

Calls

3 calls:

Slowest

4.0ms	(pow (expm1 (* a x)) 3)
3.0ms	(cbrt (pow (expm1 (* a x)) 3))
1.0ms	(expm1 (* a x))

series163.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(pow (expm1 (* a x)) 3)
58.0ms	(cbrt (pow (expm1 (* a x)) 3))
44.0ms	(expm1 (* a x))

simplify11.8s

Counts

86 → 71

Calls

86 calls:

Slowest

421.0ms	(pow (- (exp (* a x)) 1) 3)
397.0ms	(pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3)
394.0ms	(pow (* (cbrt (expm1 (* a x))) (cbrt (expm1 (* a x)))) 3)
384.0ms	(pow (- (exp (* a x)) 1) 3)
371.0ms	(cbrt (pow (cbrt (expm1 (* a x))) 3))

prune661.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

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

1.1s	2726×	body	1280	valid
474.0ms	427×	body	160	valid
442.0ms	1325×	body	640	valid
362.0ms	5478×	body	80	valid
133.0ms	734×	body	320	valid