Details

sample124.0ms

Algorithm

intervals

Results

51.0ms	45×	body	1280	valid
26.0ms	50×	body	640	valid
23.0ms	205×	body	80	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	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) (sin im))

rewrite15.0ms

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×	`pow-prod-down` `*-commutative` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

15.0ms

(* (exp re) (sin im))

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (exp re) (sin im))

simplify1.7s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
4	1730
3	688
2	231
1	95
0	43

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))

rewrite125.0ms

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

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
18.0ms	(* (sqrt (exp re)) (sin im))
100.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))
54.0ms	(* (sqrt (exp re)) (sin im))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify2.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	1717
2	624
1	222
0	96

prune360.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)))

rewrite166.0ms

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×	`insert-posit16` `add-log-exp`
2×	`pow-plus` `pow1/2` `cube-unmult`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 145

Calls

4 calls:

26.0ms	(* (sqrt (exp re)) (exp re))
18.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
18.0ms	(* (sqrt (exp re)) (sin im))
97.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (exp re)) (exp re))
13.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
60.0ms	(* (sqrt (exp re)) (sin im))
41.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))

simplify2.0s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
3	2533
2	1127
1	391
0	166

prune439.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* re im) (* re 1/2))
3.0b	(+ (* (* re im) (* re 1/2)) (* re im))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-l`
34×	`add-sqr-sqrt`
25×	`associate-r`
24×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`unswap-sqr`
10×	`*-commutative`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-out`
2×	`insert-posit16`
1×	`+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `flip-+`

Counts

2 → 81

Calls

2 calls:

68.0ms	(* (* re im) (* re 1/2))
205.0ms	(+ (* (* re im) (* re 1/2)) (* re im))

series77.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* re im) (* re 1/2))
48.0ms	(+ (* (* re im) (* re 1/2)) (* re im))

simplify1.1s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1365
1	372
0	122

prune265.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes191.0ms

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

sample3.2s

Algorithm

intervals

Results

1.1s	1515×	body	1280	valid
754.0ms	6820×	body	80	valid
543.0ms	1226×	body	640	valid
539.0ms	597×	body	320	valid
60.0ms	329×	body	160	valid