Details

sample305.0ms

Algorithm

intervals

Results

107.0ms	91×	body	1280	valid
64.0ms	87×	body	640	valid
50.0ms	52×	body	320	valid
49.0ms	278×	body	80	valid
8.0ms	23×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

17.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
13.0ms	(/ 0.5 (exp im))

series140.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (sin re))
27.0ms	(/ 0.5 (exp im))

simplify1.1s

Counts

57 → 57

Iterations

Iter	Nodes
done	2002
3	2002
2	627
1	223
0	106

prune611.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate-/r` `associate-r` `associate-l` `div-inv` `associate-/l`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 103

Calls

4 calls:

12.0ms	(exp (/ 0.5 (exp im)))
17.0ms	(* (fma (exp im) 0.5 (log (exp (/ 0.5 (exp im))))) (sin re))
14.0ms	(log (exp (/ 0.5 (exp im))))
9.0ms	(/ 0.5 (exp im))

series210.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp (/ 0.5 (exp im)))
107.0ms	(* (fma (exp im) 0.5 (log (exp (/ 0.5 (exp im))))) (sin re))
23.0ms	(log (exp (/ 0.5 (exp im))))
24.0ms	(/ 0.5 (exp im))

simplify1.0s

Counts

115 → 115

Iterations

Iter	Nodes
done	2003
3	2003
2	769
1	306
0	163

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample9.1s

Algorithm

intervals

Results

3.6s	2931×	body	1280	valid
2.4s	2514×	body	640	valid
1.4s	8446×	body	80	valid
707.0ms	1221×	body	320	valid
635.0ms	608×	body	160	valid