Details

sample110.0ms

Algorithm

intervals

Results

38.0ms	45×	body	1280	valid
27.0ms	50×	body	640	valid
23.0ms	205×	body	80	valid
5.0ms	14×	body	320	valid
3.0ms	10×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

30.0ms

(* (exp re) (sin im))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (exp re) (sin im))

simplify2.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
4	1736
3	685
2	246
1	100
0	45

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
18.0ms	(* (sqrt (exp re)) (sin im))
90.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series146.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
67.0ms	(* (sqrt (exp re)) (sin im))
52.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify2.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
3	2016
2	675
1	234
0	102

prune496.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite259.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
49×	`associate-l`
41×	`cbrt-prod`
36×	`unswap-sqr`
31×	`associate-r`
27×	`sqrt-prod`
25×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
16×	`add-cbrt-cube`
14×	`add-exp-log`
8×	`cbrt-unprod`
6×	`exp-prod` `prod-exp` `*-commutative`
5×	`sqrt-pow1` `pow-prod-down` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-plus` `pow1/2` `cube-unmult`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 153

Calls

4 calls:

37.0ms	(* (sqrt (exp re)) (exp re))
19.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
30.0ms	(* (sqrt (exp re)) (sin im))
165.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (sqrt (exp re)) (exp re))
20.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
87.0ms	(* (sqrt (exp re)) (sin im))
69.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))

simplify2.2s

Counts

165 → 165

Iterations

Iter	Nodes
done	5002
3	2989
2	1124
1	406
0	174

prune573.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* re re) 1/2 re)
2.6b	(fma (fma (* re re) 1/2 re) im im)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (* re re) 1/2 re)
0.0ms	(fma (fma (* re re) 1/2 re) im im)

series103.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(fma (* re re) 1/2 re)
47.0ms	(fma (fma (* re re) 1/2 re) im im)

simplify3.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
4	4368
3	717
2	171
1	62
0	37

prune137.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.1s	1515×	body	1280	valid
1.0s	6820×	body	80	valid
734.0ms	1226×	body	640	valid
211.0ms	597×	body	320	valid
94.0ms	329×	body	160	valid