Details

sample71.0ms

Algorithm

intervals

Results

28.0ms	45×	body	1280	valid
15.0ms	221×	body	80	valid
12.0ms	38×	body	640	valid
5.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

Slowest

12.0ms

(* (exp re) (sin im))

series63.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

63.0ms

(* (exp re) (sin im))

simplify1.3s

Counts: 24 → 24

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

Slowest

56.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
23.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))

series168.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (sqrt (exp re)) (sin im))
62.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
18.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))

simplify1.6s

Counts: 99 → 99

prune963.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))

rewrite41.0ms

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`

Counts

4 → 85

Calls

4 calls:

Slowest

29.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
4.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))

series621.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
153.0ms	(cbrt (exp re))
148.0ms	(cbrt (exp re))
144.0ms	(cbrt (exp re))

simplify10.3s

Counts: 97 → 97

prune873.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(sqrt (* (exp re) (sin im)))
0.5b	(sqrt (* (exp re) (sin im)))
0.1b	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
0.0b	(* (exp re) (sin im))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`*-un-lft-identity` `pow-prod-up` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l` `add-exp-log`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 101

Calls

4 calls:

Slowest

64.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))
15.0ms	(sqrt (* (exp re) (sin im)))
13.0ms	(* (exp re) (sin im))
10.0ms	(sqrt (* (exp re) (sin im)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(sqrt (* (exp re) (sin im)))
79.0ms	(sqrt (* (exp re) (sin im)))
78.0ms	(* (exp re) (sin im))
56.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify739.0ms

Counts: 113 → 113

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	6998×	body	80	valid
1.1s	1496×	body	1280	valid
697.0ms	1260×	body	640	valid
201.0ms	628×	body	320	valid
60.0ms	281×	body	160	valid