Details

sample98.0ms

Algorithm

intervals

Results

36.0ms	56×	body	1280	valid
21.0ms	213×	body	80	valid
19.0ms	40×	body	640	valid
7.0ms	17×	body	320	valid
2.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	6
1	6
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

25.0ms

(* (exp re) (sin im))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(* (exp re) (sin im))

simplify2.8s

Counts

24 → 24

Iterations

Iter	Nodes
6	3026
5	1738
4	1074
3	532
2	222
1	96
0	43

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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:

29.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
42.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (sqrt (exp re)) (sin im))
14.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
71.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
4	2550
3	1261
2	494
1	194
0	90

prune969.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod` `add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`pow1`
15×	`associate-l`
11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr` `sqrt-prod`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))
23.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
77.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))

series513.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (exp re))
126.0ms	(cbrt (exp re))
141.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
119.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))

simplify4.8s

Counts

110 → 110

Iterations

Iter	Nodes
4	6220
3	1921
2	656
1	252
0	113

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma 2/9 re 2/3)
0.3b	(* re (fma 2/9 re 2/3))
3.3b	(fma im (* re (fma 2/9 re 2/3)) im)
9.7b	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (fma im (* re (fma 2/9 re 2/3)) im))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-r` `fma-udef`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod`

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma 2/9 re 2/3)
6.0ms	(* re (fma 2/9 re 2/3))
0.0ms	(fma im (* re (fma 2/9 re 2/3)) im)
51.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (fma im (* re (fma 2/9 re 2/3)) im))

series331.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma 2/9 re 2/3)
106.0ms	(* re (fma 2/9 re 2/3))
71.0ms	(fma im (* re (fma 2/9 re 2/3)) im)
105.0ms	(* (sqrt (* (cbrt (exp re)) (cbrt (exp re)))) (fma im (* re (fma 2/9 re 2/3)) im))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
3	2798
2	695
1	237
0	117

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.6s	1495×	body	1280	valid
919.0ms	6913×	body	80	valid
712.0ms	1251×	body	640	valid
240.0ms	618×	body	320	valid
135.0ms	292×	body	160	valid