Details

sample272.0ms

Algorithm

intervals

Results

134.0ms	103×	body	1280	valid
61.0ms	95×	body	640	valid
38.0ms	272×	body	80	valid
16.0ms	41×	body	320	valid
4.0ms	13×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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))

rewrite78.0ms

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:

69.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
8.0ms	(/ 0.5 (exp im))

series134.0ms

Counts

2 → 6

Calls

2 calls:

113.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))
20.0ms	(/ 0.5 (exp im))

simplify1.2s

Counts

55 → 55

Iterations

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

prune539.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* (exp im) 0.5) (* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))) (sin re))
0.0b	(* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))
0.0b	(/ (cbrt 0.5) (exp im))
1.0b	(* (cbrt 0.5) (cbrt 0.5))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
42×	`*-un-lft-identity` `add-cube-cbrt`
38×	`cbrt-prod` `times-frac`
31×	`associate-r`
19×	`add-exp-log`
18×	`pow1`
13×	`add-cbrt-cube`
10×	`associate-l`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow1/3` `swap-sqr` `pow-prod-down` `associate-/l*`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `-commutative`
2×	`associate-*l/` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `clear-num` `frac-2neg` `flip3-+` `pow-plus` `associate-*r/` `flip-+`

Counts

4 → 148

Calls

4 calls:

64.0ms	(* (+ (* (exp im) 0.5) (* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))) (sin re))
49.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))
8.0ms	(/ (cbrt 0.5) (exp im))
11.0ms	(* (cbrt 0.5) (cbrt 0.5))

series373.0ms

Counts

4 → 10

Calls

4 calls:

233.0ms	(* (+ (* (exp im) 0.5) (* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))) (sin re))
93.0ms	(* (* (cbrt 0.5) (cbrt 0.5)) (/ (cbrt 0.5) (exp im)))
48.0ms	(/ (cbrt 0.5) (exp im))
0.0ms	(* (cbrt 0.5) (cbrt 0.5))

simplify1.1s

Counts

158 → 158

Iterations

Iter	Nodes
done	2001
2	2001
1	574
0	206

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.5s	2963×	body	1280	valid
2.3s	2512×	body	640	valid
1.4s	8391×	body	80	valid
1.1s	1277×	body	320	valid
175.0ms	615×	body	160	valid