Details

sample100.0ms

Algorithm

intervals

Results

27.0ms	47×	body	1280	valid
19.0ms	54×	body	640	valid
16.0ms	205×	body	80	valid
12.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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:

26.0ms

(* (exp re) (cos im))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(* (exp re) (cos im))

simplify3.5s

Counts

21 → 21

Iterations

Useful iterations: 3 (666.0ms)

Iter	Nodes	Cost
0	38	157
1	85	154
2	357	136
3	2531	134
done	5000	134

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

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:

112.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
37.0ms	(* (sqrt (exp re)) (cos im))
6.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))

series200.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
85.0ms	(* (sqrt (exp re)) (cos im))
25.0ms	(sqrt (exp re))
24.0ms	(sqrt (exp re))

simplify1.1s

Counts

87 → 87

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	75	723
1	162	668
2	673	540
done	5000	513

prune571.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (exp (log (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))
2.7b	(log (sqrt (exp re)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`log-prod` `sqrt-pow1` `sqrt-prod`
9×	`exp-prod` `associate-l` `add-cbrt-cube`
8×	`add-exp-log`
6×	`exp-sum` `log-pow`
4×	`add-log-exp`
3×	`pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square`
1×	`rem-log-exp` `associate-r` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))
157.0ms	(* (exp (log (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))
8.0ms	(log (sqrt (exp re)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
22.0ms	(sqrt (exp re))
76.0ms	(* (exp (log (sqrt (exp re)))) (* (sqrt (exp re)) (cos im)))
312.0ms	(log (sqrt (exp re)))

simplify3.9s

Counts

88 → 88

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	92	736
1	186	614
2	602	482
3	3334	462
done	5000	458

prune666.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (exp (log (sqrt (exp re)))) (cos im))
2.7b	(log (sqrt (exp re)))
2.7b	(log (sqrt (exp re)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`log-prod`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`sqrt-prod`
12×	`sqrt-pow1` `log-pow`
11×	`pow1`
9×	`exp-prod` `associate-l`
8×	`exp-sum`
7×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/2` `associate-r` `unswap-sqr`
2×	`rem-log-exp`
1×	`rem-sqrt-square` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 82

Calls

4 calls:

6.0ms	(sqrt (exp re))
109.0ms	(* (exp (log (sqrt (exp re)))) (cos im))
8.0ms	(log (sqrt (exp re)))
9.0ms	(log (sqrt (exp re)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(sqrt (exp re))
96.0ms	(* (exp (log (sqrt (exp re)))) (cos im))
304.0ms	(log (sqrt (exp re)))
300.0ms	(log (sqrt (exp re)))

simplify3.0s

Counts

94 → 94

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	88	712
1	149	585
2	396	549
3	2051	543
done	5000	541

prune729.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	14
1	11	14
done	11	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.1s	1567×	body	1280	valid
712.0ms	6943×	body	80	valid
560.0ms	1223×	body	640	valid
156.0ms	645×	body	320	valid
155.0ms	301×	body	160	valid