Details

sample252.0ms

Algorithm

intervals

Results

91.0ms	91×	body	1280	valid
55.0ms	87×	body	640	valid
52.0ms	278×	body	80	valid
24.0ms	52×	body	320	valid
7.0ms	23×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2018
7	2018
6	1574
5	629
4	254
3	98
2	60
1	27
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
0.0b	(/ 0.5 (exp im))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*l/` `insert-posit16` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

72.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
7.0ms	(/ 0.5 (exp im))

series147.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
21.0ms	(/ 0.5 (exp im))

simplify1.2s

Counts

55 → 55

Iterations

Iter	Nodes
done	2003
3	2003
2	845
1	263
0	110

prune515.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (exp im) 0.5) (log (exp (/ 0.5 (exp im))))) (sin re))
0.0b	(exp (/ 0.5 (exp im)))
0.0b	(log (exp (/ 0.5 (exp im))))
0.0b	(/ 0.5 (exp im))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
26×	`exp-prod`
14×	`log-pow`
8×	`add-cbrt-cube`
7×	`pow1` `add-exp-log`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `associate-/r` `associate-r` `associate-l` `div-inv` `associate-/l`
2×	`associate-*l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `rem-exp-log`

Counts

4 → 97

Calls

4 calls:

110.0ms	(* (+ (* (exp im) 0.5) (log (exp (/ 0.5 (exp im))))) (sin re))
11.0ms	(exp (/ 0.5 (exp im)))
13.0ms	(log (exp (/ 0.5 (exp im))))
10.0ms	(/ 0.5 (exp im))

series217.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (+ (* (exp im) 0.5) (log (exp (/ 0.5 (exp im))))) (sin re))
57.0ms	(exp (/ 0.5 (exp im)))
14.0ms	(log (exp (/ 0.5 (exp im))))
19.0ms	(/ 0.5 (exp im))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
done	2000
3	2000
2	954
1	338
0	163

prune1.2s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample9.1s

Algorithm

intervals

Results

3.2s	2931×	body	1280	valid
2.3s	8446×	body	80	valid
1.7s	2514×	body	640	valid
1.1s	1221×	body	320	valid
377.0ms	608×	body	160	valid