Details

sample85.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
24.0ms	211×	body	80	valid
12.0ms	36×	body	640	valid
6.0ms	32×	body	320	valid
2.0ms	16×	body	160	valid

simplify2.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite32.0ms

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:

31.0ms

(* (exp re) (sin im))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (exp re) (sin im))

simplify3.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	228	136
3	384	136
4	553	136
5	934	136
6	2249	136
done	5000	136

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite161.0ms

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:

39.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(sqrt (exp re))
6.0ms	(sqrt (exp re))
105.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (sqrt (exp re)) (sin im))
23.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))
55.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify5.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (593.0ms)

Iter	Nodes	Cost
0	81	731
1	171	586
2	482	530
3	886	517
4	1210	517
5	2589	517
done	5000	517

prune300.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))

rewrite70.0ms

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×	`pow-unpow` `associate-r` `associate-l` `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 → 57

Calls

3 calls:

29.0ms	(* (sin im) (exp re))
29.0ms	(pow (* (sin im) (exp re)) 3)
9.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

series149.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (sin im) (exp re))
75.0ms	(pow (* (sin im) (exp re)) 3)
38.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

simplify3.9s

Counts

66 → 66

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	82	627
1	168	499
2	560	468
3	3208	468
done	5000	464

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

23.0ms	(* (exp re) (sin im))
14.0ms	(sqrt (* (exp re) (sin im)))
15.0ms	(sqrt (* (exp re) (sin im)))
123.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (exp re) (sin im))
73.0ms	(sqrt (* (exp re) (sin im)))
83.0ms	(sqrt (* (exp re) (sin im)))
70.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify3.1s

Counts

101 → 101

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	88	1007
1	181	714
2	553	635
3	1950	597
done	5000	589

prune267.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

Details

sample85.0ms

simplify2.0ms

prune2.0ms

localize8.0ms

rewrite32.0ms

series53.0ms

simplify3.0s

prune75.0ms

localize14.0ms

rewrite161.0ms

series165.0ms

simplify5.5s

prune300.0ms

localize16.0ms

rewrite70.0ms

series149.0ms

simplify3.9s

prune205.0ms

localize22.0ms

rewrite179.0ms

series273.0ms

simplify3.1s

prune267.0ms

regimes1.0ms