Details

sample149.0ms

Algorithm

intervals

Results

72.0ms	110×	body	1280	valid
24.0ms	293×	body	80	valid
23.0ms	63×	body	640	valid
10.0ms	35×	body	320	valid
3.0ms	18×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5036
8	3628
7	2011
6	1040
5	510
4	239
3	129
2	62
1	27
0	11

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 2 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 55

Calls

2 calls:

50.0ms	(+ (exp (- 0 im)) (exp im))
147.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp (- 0 im)) (exp im))
106.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify1.7s

Counts

61 → 61

Iterations

Iter	Nodes
done	5014
2	1301
1	298
0	99

prune343.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

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))

rewrite10.0ms

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)))
9.0ms	(/ (sin re) (exp im))

series102.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))
34.0ms	(/ (sin re) (exp im))

simplify2.5s

Counts

47 → 47

Iterations

Iter	Nodes
done	5050
4	3275
3	1049
2	417
1	154
0	81

prune280.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0 im)) (exp im))
0.0b	(+ (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))))

rewrite488.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
28×	`fma-def`
22×	`add-sqr-sqrt` `exp-sum` `add-cube-cbrt`
18×	`pow1` `add-cbrt-cube` `prod-diff` `add-exp-log`
14×	`sqrt-div` `associate-r`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`sqrt-prod` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sum-log` `sub-neg` `associate-l` `associate-l/` `-commutative`

Counts

4 → 121

Calls

4 calls:

64.0ms	(+ (exp (- 0 im)) (exp im))
41.0ms	(+ (exp (- 0 im)) (exp im))
256.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
124.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (exp (- 0 im)) (exp im))
28.0ms	(+ (exp (- 0 im)) (exp im))
119.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
148.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

simplify2.0s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	1797
1	442
0	160

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (+ (exp (- 0 im)) (exp im))))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im)))))) (sqrt (+ (exp (- 0 im)) (exp im))))
0.5b	(* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im))))))
1.0b	(log1p (+ (exp (- 0 im)) (exp im)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
10×	`*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`sqrt-prod`
5×	`expm1-log1p-u`
4×	`insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-div` `associate-l` `associate-r/` `-commutative`
1×	`log1p-udef` `expm1-log1p` `flip3-+` `log1p-expm1` `flip-+` `distribute-lft-out` `expm1-udef`

Counts

4 → 78

Calls

4 calls:

0.0ms	(expm1 (log1p (+ (exp (- 0 im)) (exp im))))
144.0ms	(* (* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im)))))) (sqrt (+ (exp (- 0 im)) (exp im))))
20.0ms	(* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im))))))
0.0ms	(log1p (+ (exp (- 0 im)) (exp im)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(expm1 (log1p (+ (exp (- 0 im)) (exp im))))
258.0ms	(* (* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im)))))) (sqrt (+ (exp (- 0 im)) (exp im))))
179.0ms	(* (* 0.5 (sin re)) (sqrt (expm1 (log1p (+ (exp (- 0 im)) (exp im))))))
90.0ms	(log1p (+ (exp (- 0 im)) (exp im)))

simplify2.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1591
1	435
0	175

prune523.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes320.0ms

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
done	9
1	9
0	8

end0.0ms

sample7.2s

Algorithm

intervals

Results

3.6s	3059×	body	1280	valid
1.4s	2422×	body	640	valid
1.1s	8614×	body	80	valid
429.0ms	1258×	body	320	valid
193.0ms	655×	body	160	valid