Details

sample157.0ms

Algorithm

intervals

Results

60.0ms	119×	body	1280	valid
51.0ms	88×	body	640	valid
16.0ms	259×	body	80	valid
8.0ms	40×	body	320	valid
2.0ms	17×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4343
4	489
3	108
2	59
1	23
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite61.0ms

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-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

60.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series78.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1501
1	229
0	73

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
7×	`add-exp-log`
5×	`add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-exp` `associate-l` `*-commutative` `flip-+` `div-inv`

Counts

3 → 63

Calls

3 calls:

15.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
5.0ms	(/ 0.5 (exp im))
18.0ms	(* (* 0.5 (cos re)) (exp im))

series151.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* (cos re) (/ 0.5 (exp im))) (* (* 0.5 (cos re)) (exp im)))
18.0ms	(/ 0.5 (exp im))
44.0ms	(* (* 0.5 (cos re)) (exp im))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
2	1714
1	326
0	124

prune384.0ms

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	(* (cbrt (exp im)) (cbrt (exp im)))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))
0.0b	(cbrt (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))
2.0ms	(cbrt (exp im))

series330.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (cbrt (exp im)) (cbrt (exp im)))
79.0ms	(cbrt (exp im))
77.0ms	(cbrt (exp im))
81.0ms	(cbrt (exp im))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	2691
2	491
1	142
0	64

prune473.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes240.0ms

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	13
1	13
0	10

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.0s	2975×	body	1280	valid
1.3s	2562×	body	640	valid
1.1s	8447×	body	80	valid
252.0ms	1215×	body	320	valid
94.0ms	653×	body	160	valid