Details

sample114.0ms

Algorithm

intervals

Results

50.0ms	104×	body	1280	valid
21.0ms	77×	body	640	valid
15.0ms	245×	body	80	valid
6.0ms	34×	body	320	valid
2.0ms	19×	body	160	valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:

15.0ms	(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
55.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
5.0ms	(/ 0.5 (exp im))

series159.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* (exp im) 0.5) (/ 0.5 (exp im)))
82.0ms	(* (cos re) (+ (* (exp im) 0.5) (/ 0.5 (exp im))))
15.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1423
1	323
0	122

prune268.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
0.0b	(/ 0.5 (exp im))
1.0b	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
10×	`add-cbrt-cube`
9×	`associate-/r` `associate-/l`
7×	`cbrt-div` `add-exp-log`
5×	`frac-times` `associate-*l/`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-*r/` `div-inv`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 98

Calls

4 calls:

7.0ms	(/ 0.5 (exp im))
7.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))
52.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 0.5 (exp im))
19.0ms	(/ 0.5 (exp im))
15.0ms	(/ 0.5 (exp im))
38.0ms	(cbrt (* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im))))

simplify1.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	2842
2	543
1	184
0	91

prune522.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes94.0ms

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

sample5.7s

Algorithm

intervals

Results

2.7s	2920×	body	1280	valid
1.3s	2582×	body	640	valid
743.0ms	8554×	body	80	valid
335.0ms	1255×	body	320	valid
135.0ms	598×	body	160	valid