Details

sample244.0ms

Algorithm

intervals

Results

91.0ms	104×	body	1280	valid
76.0ms	77×	body	640	valid
36.0ms	279×	body	80	valid
15.0ms	36×	body	320	valid
4.0ms	14×	body	160	valid

simplify7.9s

Counts

1 → 1

Iterations

Iter	Nodes
11	2238
10	1646
9	1356
8	1065
7	920
6	799
5	382
4	205
3	115
2	62
1	27
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 26

Calls

1 calls:

124.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series131.0ms

Counts

1 → 3

Calls

1 calls:

131.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify3.6s

Counts

29 → 29

Iterations

Iter	Nodes
3	7704
2	1135
1	256
0	82

prune270.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (sin re) (exp im) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
10.0ms	(/ (sin re) (exp im))

series127.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
36.0ms	(/ (sin re) (exp im))

simplify1.1s

Counts

47 → 47

Iterations

Iter	Nodes
4	3082
3	1006
2	405
1	154
0	81

prune554.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- 0 im)) (exp im)))
0.0b	(sqrt (+ (exp (- 0 im)) (exp im)))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
0.5b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

rewrite529.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`*-un-lft-identity` `add-cbrt-cube` `sqrt-div` `add-exp-log`
16×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-r`
10×	`associate-*r/` `add-cube-cbrt`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative` `hypot-def`

Counts

4 → 103

Calls

4 calls:

79.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
56.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
296.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
95.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
55.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
115.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
143.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

simplify3.8s

Counts

115 → 115

Iterations

Iter	Nodes
3	6952
2	1644
1	446
0	165

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes255.0ms

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
2	9
1	9
0	8

end0.0ms

sample8.9s

Algorithm

intervals

Results

3.3s	3002×	body	1280	valid
2.3s	2440×	body	640	valid
2.2s	8604×	body	80	valid
600.0ms	1250×	body	320	valid
163.0ms	578×	body	160	valid