Details

sample110.0ms

Algorithm

intervals

Results

37.0ms	47×	body	1280	valid
26.0ms	33×	body	640	valid
23.0ms	237×	body	80	valid
8.0ms	25×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	6
1	6
0	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos 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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

11.0ms

(* (exp re) (cos im))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(* (exp re) (cos im))

simplify6.9s

Counts

22 → 22

Iterations

Iter	Nodes
7	6041
6	1808
5	999
4	638
3	410
2	185
1	86
0	39

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
13.0ms	(* (sqrt (exp re)) (cos im))
51.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
53.0ms	(* (sqrt (exp re)) (cos im))
56.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
4	2075
3	1093
2	410
1	164
0	78

prune927.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im)))
0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
0.2b	(sqrt (sqrt (exp re)))
0.2b	(sqrt (sqrt (exp re)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

38×	`sqrt-prod`
22×	`pow1`
20×	`add-sqr-sqrt` `sqrt-pow1`
18×	`add-cbrt-cube` `associate-l` `add-exp-log`
16×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`rem-sqrt-square` `pow1/2` `insert-posit16` `add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 99

Calls

4 calls:

44.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im)))
143.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
6.0ms	(sqrt (sqrt (exp re)))
6.0ms	(sqrt (sqrt (exp re)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im)))
42.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
133.0ms	(sqrt (sqrt (exp re)))
123.0ms	(sqrt (sqrt (exp re)))

simplify1.0s

Counts

111 → 111

Iterations

Iter	Nodes
3	2033
2	709
1	256
0	111

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re))))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
0.2b	(sqrt (sqrt (exp re)))
0.2b	(sqrt (sqrt (exp re)))
0.3b	(cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re)))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
20×	`sqrt-pow1`
17×	`add-sqr-sqrt` `pow1`
13×	`add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
6×	`exp-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `insert-posit16` `add-log-exp`
2×	`cbrt-prod` `pow3` `rem-cbrt-cube`
1×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 81

Calls

4 calls:

128.0ms	(* (cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re))))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
3.0ms	(sqrt (sqrt (exp re)))
3.0ms	(sqrt (sqrt (exp re)))
11.0ms	(cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re)))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re))))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (cos im))))
111.0ms	(sqrt (sqrt (exp re)))
101.0ms	(sqrt (sqrt (exp re)))
120.0ms	(cbrt (* (sqrt (exp re)) (sqrt (sqrt (exp re)))))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
3	2324
2	629
1	215
0	101

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes187.0ms

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
2	6
1	6
0	5

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.6s	1543×	body	1280	valid
716.0ms	6865×	body	80	valid
621.0ms	1227×	body	640	valid
230.0ms	649×	body	320	valid
107.0ms	326×	body	160	valid