Details

sample129.0ms

Algorithm

intervals

Results

52.0ms	92×	body	1280	valid
26.0ms	81×	body	640	valid
16.0ms	232×	body	80	valid
8.0ms	39×	body	320	valid
2.0ms	12×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	59	11
3	108	11
4	491	11
5	4288	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

93.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

series114.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
28.0ms	(+ (exp (- im)) (exp im))

simplify1.4s

Counts

48 → 48

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	91	586
1	284	566
2	1876	482
done	5000	474

prune220.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

48.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
31.0ms	(* (exp im) (* 0.5 (cos re)))
21.0ms	(/ (* 0.5 (cos re)) (exp im))

series225.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
55.0ms	(* (exp im) (* 0.5 (cos re)))
58.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify1.2s

Counts

72 → 72

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	108	853
1	306	795
2	1517	673
done	5001	673

prune346.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma (cos re) (exp im) (/ (cos re) (exp im)))
11.0ms	(/ (cos re) (exp im))

series142.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(fma (cos re) (exp im) (/ (cos re) (exp im)))
43.0ms	(/ (cos re) (exp im))

simplify1.1s

Counts

45 → 45

Iterations

Useful iterations: 3 (252.0ms)

Iter	Nodes	Cost
0	74	465
1	141	452
2	432	413
3	1996	411
done	5000	411

prune196.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
done	9	12

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.2s	2955×	body	1280	valid
1.3s	8687×	body	80	valid
932.0ms	2487×	body	640	valid
322.0ms	1201×	body	320	valid
134.0ms	606×	body	160	valid