Details

sample306.0ms

Algorithm

intervals

Results

108.0ms	86×	body	1280	valid
97.0ms	74×	body	640	valid
45.0ms	258×	body	80	valid
27.0ms	50×	body	320	valid
5.0ms	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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:

11.0ms	(/ 0.5 (exp im))
80.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))

series156.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ 0.5 (exp im))
143.0ms	(* (+ (* (exp im) 0.5) (/ 0.5 (exp im))) (sin re))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	2001
3	2001
2	829
1	263
0	110

prune346.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 237

Calls

3 calls:

94.0ms	(* (+ (* (exp im) 0.5) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (sin re))
18.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
13.0ms	(/ (exp im) (sqrt 0.5))

series458.0ms

Counts

3 → 9

Calls

3 calls:

275.0ms	(* (+ (* (exp im) 0.5) (/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))) (sin re))
89.0ms	(/ (sqrt 0.5) (/ (exp im) (sqrt 0.5)))
93.0ms	(/ (exp im) (sqrt 0.5))

simplify1.3s

Counts

246 → 246

Iterations

Iter	Nodes
done	2000
2	2000
1	850
0	326

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

5190×	`times-frac`
3507×	`sqrt-prod`
2402×	`add-sqr-sqrt`
2400×	`*-un-lft-identity` `add-cube-cbrt`
291×	`associate-/r*`
59×	`div-inv`
22×	`add-cbrt-cube` `add-exp-log`
18×	`associate-/l*`
10×	`cbrt-undiv` `div-exp`
9×	`associate-/r/`
6×	`pow1` `sqrt-undiv`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 2126

Calls

4 calls:

205.0ms	(* (+ (* (exp im) 0.5) (/ (sqrt 0.5) (/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im)))))) (sin re))
18.0ms	(/ (sqrt 0.5) (/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im)))))
14.0ms	(/ (sqrt 0.5) (sqrt (exp im)))
31.0ms	(/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im))))

series1.1s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (+ (* (exp im) 0.5) (/ (sqrt 0.5) (/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im)))))) (sin re))
114.0ms	(/ (sqrt 0.5) (/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im)))))
75.0ms	(/ (sqrt 0.5) (sqrt (exp im)))
572.0ms	(/ (sqrt (exp im)) (/ (sqrt 0.5) (sqrt (exp im))))

simplify3.2s

Counts

2138 → 2138

Iterations

Iter	Nodes
done	2000
1	2000
0	1653

prune10.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.3b	(/ (* (sin re) (+ (* (/ 0.5 (exp im)) (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)))) (+ (* (* (exp im) 0.5) (* (exp im) 0.5)) (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))))
4.4b	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

rewrite641.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
83×	`times-frac`
62×	`*-un-lft-identity` `add-cube-cbrt`
33×	`add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
25×	`add-exp-log`
18×	`pow1`
11×	`associate-*r/`
10×	`cbrt-undiv` `div-exp`
9×	`prod-exp` `cbrt-unprod` `div-inv`
8×	`unswap-sqr`
6×	`add-log-exp`
4×	`associate-*l/` `insert-posit16`
3×	`frac-times` `associate-/r*` `frac-sub`
2×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip-+` `sub-div` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `associate-/l*`

Counts

4 → 181

Calls

4 calls:

40.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
41.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
522.0ms	(/ (* (sin re) (+ (* (/ 0.5 (exp im)) (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)))) (+ (* (* (exp im) 0.5) (* (exp im) 0.5)) (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))))
32.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
41.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
346.0ms	(/ (* (sin re) (+ (* (/ 0.5 (exp im)) (* (/ 0.5 (exp im)) (/ 0.5 (exp im)))) (* (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (exp im) 0.5)))) (+ (* (* (exp im) 0.5) (* (exp im) 0.5)) (- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))))
79.0ms	(- (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (* (* (exp im) 0.5) (/ 0.5 (exp im))))

simplify1.3s

Counts

193 → 193

Iterations

Iter	Nodes
done	2000
2	2000
1	821
0	246

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.9s	2992×	body	1280	valid
2.2s	2472×	body	640	valid
1.2s	8558×	body	80	valid
696.0ms	1276×	body	320	valid
180.0ms	587×	body	160	valid