Details

sample82.0ms

Algorithm

intervals

Results

30.0ms	72×	body	1280	valid
16.0ms	50×	body	640	valid
12.0ms	191×	body	80	valid
6.0ms	30×	body	320	valid
2.0ms	12×	body	160	valid

simplify5.1s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

41.0ms

(expm1 (* a x))

simplify758.0ms

Counts: 15 → 15

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

17.5b	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite50.0ms

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

21.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
15.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
11.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
0.0ms	(expm1 (* a x))

series180.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
44.0ms	(cbrt (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))))
40.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
39.0ms	(expm1 (* a x))

simplify768.0ms

Counts: 96 → 96

prune922.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

24.2b	(pow (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) 1/3)
0.1b	(* (expm1 (* a x)) (expm1 (* a x)))
0.1b	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
0.0b	(expm1 (* a x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
17×	`add-exp-log`
13×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
12×	`pow-pow`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp`
6×	`associate-r`
5×	`pow2` `pow-sqr` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `pow-exp`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`pow-to-exp` `expm1-log1p` `unpow-prod-down` `unpow1/3` `expm1-udef` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

Slowest

32.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
19.0ms	(pow (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) 1/3)
19.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
1.0ms	(expm1 (* a x))

series334.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(pow (* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x))) 1/3)
58.0ms	(* (* (expm1 (* a x)) (expm1 (* a x))) (expm1 (* a x)))
51.0ms	(* (expm1 (* a x)) (expm1 (* a x)))
50.0ms	(expm1 (* a x))

simplify1.4s

Counts: 115 → 115

prune947.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

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

sample2.6s

Algorithm

intervals

Results

1.1s	2729×	body	1280	valid
728.0ms	1354×	body	640	valid
357.0ms	5488×	body	80	valid
158.0ms	735×	body	320	valid
46.0ms	403×	body	160	valid