Details

sample87.0ms

Algorithm

intervals

Results

30.0ms	55×	body	1280	valid
16.0ms	225×	body	80	valid
10.0ms	30×	body	640	valid
6.0ms	28×	body	320	valid
3.0ms	16×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

21.0ms

(* (exp re) (sin im))

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(* (exp re) (sin im))

simplify122.0ms

Counts: 21 → 21

prune69.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
53.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
22.0ms	(* (sqrt (exp re)) (sin im))

series147.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp re))
15.0ms	(sqrt (exp re))
55.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
58.0ms	(* (sqrt (exp re)) (sin im))

simplify82.0ms

Counts: 87 → 87

prune301.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
0.0b	(pow (exp 1) (/ re 2))
0.0b	(* (pow (exp 1) (/ re 2)) (sin im))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log`
13×	`pow-unpow` `associate-l`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
8×	`pow1`
7×	`unpow-prod-down`
6×	`exp-prod` `sqrt-prod`
4×	`pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `div-inv`

Counts

4 → 93

Calls

4 calls:

5.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
10.0ms	(pow (exp 1) (/ re 2))
36.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

series187.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
89.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
16.0ms	(pow (exp 1) (/ re 2))
69.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

simplify167.0ms

Counts: 105 → 105

prune427.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (/ (/ re 2) 2))
0.0b	(pow (exp 1) (/ (/ re 2) 2))
0.0b	(* (sin im) (pow E (/ (/ re 2) 2)))
0.0b	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ (/ re 2) 2))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
87×	`add-sqr-sqrt`
86×	`pow-unpow`
82×	`add-cube-cbrt` `*-un-lft-identity`
37×	`add-exp-log`
31×	`prod-exp`
16×	`pow-exp`
13×	`unpow-prod-down`
11×	`pow-to-exp` `add-cbrt-cube`
10×	`associate-l`
8×	`associate-r` `div-inv`
6×	`pow1`
5×	`e-exp-1` `pow-pow` `sqr-pow`
4×	`cbrt-unprod` `add-log-exp`
3×	`exp-prod` `unswap-sqr`
2×	`*-commutative`

Counts

4 → 177

Calls

4 calls:

8.0ms	(pow E (/ (/ re 2) 2))
11.0ms	(pow (exp 1) (/ (/ re 2) 2))
17.0ms	(* (sin im) (pow E (/ (/ re 2) 2)))
45.0ms	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ (/ re 2) 2))))

series175.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(pow E (/ (/ re 2) 2))
19.0ms	(pow (exp 1) (/ (/ re 2) 2))
75.0ms	(* (sin im) (pow E (/ (/ re 2) 2)))
65.0ms	(* (pow (exp 1) (/ (/ re 2) 2)) (* (sin im) (pow E (/ (/ re 2) 2))))

simplify66.0ms

Counts: 189 → 189

prune868.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes135.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

810.0ms	6940×	body	80	valid
774.0ms	1516×	body	1280	valid
451.0ms	1257×	body	640	valid
115.0ms	615×	body	320	valid
82.0ms	305×	body	160	valid