Details

sample96.0ms

Algorithm

intervals

Results

34.0ms	51×	body	1280	valid
17.0ms	211×	body	80	valid
14.0ms	36×	body	640	valid
9.0ms	32×	body	320	valid
3.0ms	16×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin 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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

26.0ms

(* (exp re) (sin im))

series81.0ms

Counts

1 → 3

Calls

1 calls:

81.0ms

(* (exp re) (sin im))

simplify3.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (189.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	238	148
3	409	146
4	619	146
5	1014	146
6	2343	146
done	5000	146

prune112.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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)))

rewrite117.0ms

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×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

33.0ms	(* (sqrt (exp re)) (sin im))
3.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))
74.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (exp re)) (sin im))
13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
73.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify4.6s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	87	783
1	182	622
2	516	565
3	1073	556
4	1483	551
5	2959	551
done	5000	551

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin im) (exp re))
0.3b	(pow (* (sin im) (exp re)) 3)
13.3b	(cbrt (pow (* (sin im) (exp re)) 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

29.0ms	(* (sin im) (exp re))
21.0ms	(pow (* (sin im) (exp re)) 3)
8.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

series151.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (sin im) (exp re))
79.0ms	(pow (* (sin im) (exp re)) 3)
33.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

simplify3.3s

Counts

72 → 72

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	88	673
1	177	536
2	581	506
3	3252	502
done	5001	498

prune256.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im)))))
0.0b	(sqrt (* (sqrt (exp re)) (sin im)))
0.0b	(sqrt (* (sqrt (exp re)) (sin im)))
0.1b	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))

rewrite645.0ms

Algorithm

rewrite-expression-head

Rules

80×	`pow1`
44×	`sqrt-pow1`
39×	`pow-prod-down`
15×	`pow1/2`
14×	`add-sqr-sqrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `sqrt-prod` `pow-prod-up`
6×	`pow-sqr`
5×	`associate-r`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 108

Calls

4 calls:

457.0ms	(* (sqrt (exp re)) (* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im)))))
26.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
26.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
129.0ms	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))

series325.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (sqrt (exp re)) (* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im)))))
100.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
103.0ms	(sqrt (* (sqrt (exp re)) (sin im)))
80.0ms	(* (sqrt (* (sqrt (exp re)) (sin im))) (sqrt (* (sqrt (exp re)) (sin im))))

simplify4.7s

Counts

120 → 120

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	108	1754
1	231	1072
2	769	896
3	4190	853
done	5000	841

prune371.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

Details

sample96.0ms

simplify3.0ms

prune2.0ms

localize7.0ms

rewrite27.0ms

series81.0ms

simplify3.1s

prune112.0ms

localize10.0ms

rewrite117.0ms

series190.0ms

simplify4.6s

prune259.0ms

localize19.0ms

rewrite60.0ms

series151.0ms

simplify3.3s

prune256.0ms

localize15.0ms

rewrite645.0ms

series325.0ms

simplify4.7s

prune371.0ms

regimes1.0ms