Details

sample201.0ms

Algorithm

intervals

Results

82.0ms	75×	body	1280	valid
52.0ms	84×	body	640	valid
31.0ms	275×	body	80	valid
13.0ms	36×	body	320	valid
6.0ms	22×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
12	548
11	548
10	528
9	471
8	434
7	393
6	286
5	220
4	179
3	140
2	89
1	43
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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` `insert-posit16` `associate-/l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

28.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
58.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
5.0ms	(/ 0.5 (exp im))

series211.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (/ 0.5 (exp im)) (* (exp im) 0.5))
106.0ms	(* (+ (/ 0.5 (exp im)) (* (exp im) 0.5)) (cos re))
18.0ms	(/ 0.5 (exp im))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
3	2943
2	1041
1	497
0	122

prune657.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
0.0b	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
6.8b	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

94×	`add-sqr-sqrt`
90×	`times-frac`
69×	`add-cbrt-cube`
67×	`*-un-lft-identity` `add-cube-cbrt`
48×	`add-exp-log`
39×	`associate-r`
37×	`pow1`
27×	`associate-l`
26×	`swap-sqr` `prod-exp` `cbrt-unprod`
21×	`cbrt-undiv` `div-exp`
10×	`unswap-sqr`
9×	`div-inv`
8×	`pow-plus` `pow-prod-up`
7×	`frac-times` `associate-*l/`
6×	`add-log-exp`
5×	`pow-prod-down` `associate-*r/`
4×	`pow2` `pow-sqr` `insert-posit16`
3×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `pow3` `flip--`

Counts

4 → 213

Calls

4 calls:

52.0ms	(* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))
20.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
19.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
65.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (* (/ 0.5 (exp im)) (/ 0.5 (exp im))) (/ 0.5 (exp im)))
50.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
28.0ms	(* (/ 0.5 (exp im)) (/ 0.5 (exp im)))
70.0ms	(- (* (* (exp im) 0.5) (* (exp im) 0.5)) (* (/ 0.5 (exp im)) (* (exp im) 0.5)))

simplify848.0ms

Counts

225 → 225

Iterations

Iter	Nodes
2	2644
1	1055
0	206

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`add-cbrt-cube`
14×	`sqrt-div`
13×	`add-exp-log`
12×	`associate-l`
11×	`pow1`
10×	`associate-*l/`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`associate-/r` `associate-/l`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `associate-r/` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

48.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
145.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
5.0ms	(/ 0.5 (exp im))
5.0ms	(/ 0.5 (exp im))

series288.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re))
116.0ms	(* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (* (sqrt (+ (/ 0.5 (exp im)) (* (exp im) 0.5))) (cos re)))
14.0ms	(/ 0.5 (exp im))
17.0ms	(/ 0.5 (exp im))

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
3	2881
2	1248
1	645
0	157

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.1s	2960×	body	1280	valid
2.1s	2465×	body	640	valid
1.2s	8507×	body	80	valid
1.0s	1226×	body	320	valid
157.0ms	598×	body	160	valid