Details

sample192.0ms

Algorithm

intervals

Results

78.0ms	103×	body	1280	valid
32.0ms	72×	body	640	valid
26.0ms	258×	body	80	valid
24.0ms	34×	body	320	valid
3.0ms	17×	body	160	valid

simplify5.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2838
6	1092
5	472
4	207
3	120
2	63
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite216.0ms

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-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 53

Calls

2 calls:

58.0ms	(+ (exp (- 0.0 im)) (exp im))
154.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
108.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.5s

Counts

59 → 59

Iterations

Iter	Nodes
done	5002
2	1144
1	290
0	97

prune396.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 39

Calls

2 calls:

8.0ms	(/ (sin re) (exp im))
0.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

series158.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (sin re) (exp im))
102.0ms	(fma (sin re) (exp im) (/ (sin re) (exp im)))

simplify1.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
3	1217
2	425
1	152
0	79

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
159×	`add-sqr-sqrt`
158×	`*-un-lft-identity` `add-cube-cbrt`
147×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `sqrt-pow1` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`clear-num` `frac-2neg`
1×	`rem-sqrt-square` `pow1/2` `fma-udef` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

2.0ms	(sqrt (exp im))
0.0ms	(fma (sin re) (exp im) (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im))))
9.0ms	(/ (sin re) (sqrt (exp im)))
26.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(sqrt (exp im))
121.0ms	(fma (sin re) (exp im) (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im))))
88.0ms	(/ (sin re) (sqrt (exp im)))
42.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))

simplify1.7s

Counts

258 → 258

Iterations

Iter	Nodes
done	5002
2	1393
1	633
0	295

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (sqrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(/ 1 (cbrt (sqrt (exp im))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
15×	`sqrt-prod`
9×	`associate-/r*`
8×	`add-exp-log`
5×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1/3` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`div-exp` `pow-flip`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `div-inv` `inv-pow`

Counts

4 → 100

Calls

4 calls:

4.0ms	(cbrt (sqrt (exp im)))
3.0ms	(cbrt (exp im))
3.0ms	(cbrt (exp im))
14.0ms	(/ 1 (cbrt (sqrt (exp im))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (sqrt (exp im)))
125.0ms	(cbrt (exp im))
100.0ms	(cbrt (exp im))
133.0ms	(/ 1 (cbrt (sqrt (exp im))))

simplify3.9s

Counts

112 → 112

Iterations

Iter	Nodes
done	5010
6	4021
5	1837
4	939
3	540
2	326
1	188
0	113

prune844.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.5s	3016×	body	1280	valid
2.0s	2477×	body	640	valid
912.0ms	8499×	body	80	valid
841.0ms	1281×	body	320	valid
230.0ms	642×	body	160	valid