Details

sample222.0ms

Algorithm

intervals

Results

98.0ms	86×	body	1280	valid
35.0ms	72×	body	640	valid
30.0ms	289×	body	80	valid
12.0ms	34×	body	320	valid
3.0ms	16×	body	160	valid

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	3212
10	3212
9	3063
8	2876
7	2355
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune53.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

2 → 40

Calls

2 calls:

60.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
18.0ms	(/ 0.5 (exp im))

series177.0ms

Counts

2 → 6

Calls

2 calls:

141.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
36.0ms	(/ 0.5 (exp im))

simplify4.5s

Counts

46 → 46

Iterations

Iter	Nodes
done	5003
3	2519
2	620
1	213
0	90

prune598.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* im (* im 0.5)) 1.0) (* (* (* im im) (* im im)) 0.041666666666666664))
0.1b	(* (* (* im im) (* im im)) 0.041666666666666664)
0.1b	(* (* im im) (* im im))

rewrite406.0ms

Algorithm

rewrite-expression-head

Rules

132×	`pow1`
36×	`pow-prod-down` `pow-prod-up`
33×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
13×	`pow2`
8×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
3×	`sum-log` `insert-posit16`
2×	`associate-l` `*-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `swap-sqr` `flip-+`

Counts

3 → 107

Calls

3 calls:

170.0ms	(+ (+ (* im (* im 0.5)) 1.0) (* (* (* im im) (* im im)) 0.041666666666666664))
172.0ms	(* (* (* im im) (* im im)) 0.041666666666666664)
44.0ms	(* (* im im) (* im im))

series183.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (+ (* im (* im 0.5)) 1.0) (* (* (* im im) (* im im)) 0.041666666666666664))
62.0ms	(* (* (* im im) (* im im)) 0.041666666666666664)
46.0ms	(* (* im im) (* im im))

simplify3.2s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1194
1	345
0	111

prune669.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.7s	3096×	body	1280	valid
1.2s	8615×	body	80	valid
1.1s	2453×	body	640	valid
400.0ms	1252×	body	320	valid
168.0ms	590×	body	160	valid