Details

sample228.0ms

Algorithm

intervals

Results

114.0ms	160×	body	1280	valid
59.0ms	126×	body	640	valid
16.0ms	58×	body	320	valid
12.0ms	141×	body	80	valid
5.0ms	27×	body	160	valid

simplify7.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (109.0ms)

Iter	Nodes	Cost
0	10	363
1	18	363
2	39	363
3	84	363
4	186	293
5	512	293
6	1227	293
7	2530	293
8	4841	293
done	5014	293

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.5b	(- (exp (- im)) (exp im))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

70.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
29.0ms	(- (exp (- im)) (exp im))

series173.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
65.0ms	(- (exp (- im)) (exp im))

simplify4.7s

Counts

46 → 46

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	92	18074
1	256	17017
2	882	16160
3	4112	15224
done	5200	15224

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow im 5))
0.1b	(* im (* im im))
0.1b	(* -1/3 (* im (* im im)))
0.1b	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ (* 1/60 (pow im 5)) (+ im im))))

rewrite410.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
13×	`cbrt-unprod`
12×	`associate-r` `pow-prod-down`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--`

Counts

4 → 94

Calls

4 calls:

18.0ms	(* 1/60 (pow im 5))
25.0ms	(* im (* im im))
68.0ms	(* -1/3 (* im (* im im)))
293.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ (* 1/60 (pow im 5)) (+ im im))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 1/60 (pow im 5))
34.0ms	(* im (* im im))
60.0ms	(* -1/3 (* im (* im im)))
309.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ (* 1/60 (pow im 5)) (+ im im))))

simplify2.6s

Counts

106 → 106

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	170	35636
1	441	32399
2	1639	31641
done	5001	30937

prune648.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize93.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(pow (cbrt im) 5)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `pow1/3` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)
5.0ms	(pow (cbrt im) 5)

series1.2s

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt im)
282.0ms	(cbrt im)
273.0ms	(cbrt im)
390.0ms	(pow (cbrt im) 5)

simplify58.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	58	18351