Details

sample174.0ms

Algorithm

intervals

Results

69.0ms	91×	body	1280	valid
38.0ms	80×	body	640	valid
27.0ms	274×	body	80	valid
13.0ms	41×	body	320	valid
3.0ms	14×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4184
4	470
3	93
2	57
1	23
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

65.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
18.0ms	(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
8.0ms	(/ 0.5 (exp im))

series172.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
69.0ms	(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
15.0ms	(/ 0.5 (exp im))

simplify910.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1422
1	323
0	122

prune358.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
16×	`add-cbrt-cube`
14×	`associate-l`
13×	`add-exp-log`
11×	`pow1`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `*-commutative` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `distribute-rgt-out` `associate-*l/` `flip-+`

Counts

4 → 89

Calls

4 calls:

39.0ms	(* (* (exp im) 0.5) (cos re))
35.0ms	(+ (* (* (exp im) 0.5) (cos re)) (* (/ 0.5 (exp im)) (cos re)))
30.0ms	(* (/ 0.5 (exp im)) (cos re))
8.0ms	(/ 0.5 (exp im))

series245.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (exp im) 0.5) (cos re))
120.0ms	(+ (* (* (exp im) 0.5) (cos re)) (* (/ 0.5 (exp im)) (cos re)))
56.0ms	(* (/ 0.5 (exp im)) (cos re))
20.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2134
1	403
0	146

prune466.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ 0.5 (exp im)) (cos re))
0.0b	(/ 0.5 (exp im))
0.1b	(log (* (* (exp im) 0.5) (cos re)))
0.1b	(exp (log (* (* (exp im) 0.5) (cos re))))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
18×	`pow1`
14×	`add-exp-log`
13×	`associate-l`
11×	`add-cbrt-cube`
7×	`pow-prod-down`
6×	`exp-prod` `log-pow`
5×	`prod-exp`
4×	`add-log-exp`
3×	`associate-/r` `rem-log-exp` `associate-r` `associate-/l`
2×	`cbrt-undiv` `log-prod` `div-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `exp-sum` `associate-l/` `-commutative` `rem-exp-log`

Counts

4 → 88

Calls

4 calls:

18.0ms	(* (/ 0.5 (exp im)) (cos re))
5.0ms	(/ 0.5 (exp im))
37.0ms	(log (* (* (exp im) 0.5) (cos re)))
108.0ms	(exp (log (* (* (exp im) 0.5) (cos re))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ 0.5 (exp im)) (cos re))
30.0ms	(/ 0.5 (exp im))
85.0ms	(log (* (* (exp im) 0.5) (cos re)))
49.0ms	(exp (log (* (* (exp im) 0.5) (cos re))))

simplify965.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1181
1	298
0	129

prune536.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes130.0ms

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	14
1	14
0	10

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.1s	2965×	body	1280	valid
925.0ms	2514×	body	640	valid
755.0ms	8600×	body	80	valid
284.0ms	1243×	body	320	valid
176.0ms	646×	body	160	valid