Details

sample190.0ms

Algorithm

intervals

Results

82.0ms	89×	body	1280	valid
42.0ms	75×	body	640	valid
35.0ms	296×	body	80	valid
10.0ms	28×	body	320	valid
4.0ms	15×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4594
7	2791
6	1848
5	764
4	238
3	102
2	59
1	23
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 calls:

27.0ms	(+ (exp (- im)) (exp im))
129.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (exp (- im)) (exp im))
100.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.5s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
2	1437
1	353
0	110

prune271.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
47×	`associate-r`
43×	`*-un-lft-identity`
33×	`add-cube-cbrt`
29×	`associate-l`
22×	`fma-def` `add-exp-log`
19×	`times-frac`
16×	`add-cbrt-cube`
11×	`pow1`
10×	`unswap-sqr`
9×	`associate-*l/` `prod-exp`
6×	`associate-/r` `distribute-rgt-out` `associate-/l` `add-log-exp`
5×	`*-commutative` `cbrt-unprod`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

31.0ms	(* (/ 0.5 (exp im)) (cos re))
183.0ms	(+ (* (exp im) (* 0.5 (cos re))) (* (/ 0.5 (exp im)) (cos re)))
36.0ms	(* (exp im) (* 0.5 (cos re)))
6.0ms	(/ 0.5 (exp im))

series473.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ 0.5 (exp im)) (cos re))
353.0ms	(+ (* (exp im) (* 0.5 (cos re))) (* (/ 0.5 (exp im)) (cos re)))
49.0ms	(* (exp im) (* 0.5 (cos re)))
14.0ms	(/ 0.5 (exp im))

simplify2.0s

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
2	2056
1	506
0	191

prune842.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite523.0ms

Algorithm

rewrite-expression-head

Rules

356×	`times-frac`
274×	`add-sqr-sqrt`
208×	`*-un-lft-identity`
204×	`add-cube-cbrt`
187×	`sqrt-prod`
167×	`associate-l`
51×	`associate-r`
39×	`associate-/l*`
29×	`unswap-sqr`
23×	`add-exp-log`
22×	`fma-def`
20×	`add-cbrt-cube`
18×	`associate-/r*`
12×	`associate-*l/` `associate-/l/`
11×	`*-commutative`
9×	`pow1` `div-inv`
8×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `pow-prod-down`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 384

Calls

4 calls:

371.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* (/ 0.5 (sqrt (exp im))) (cos re)) (sqrt (exp im))))
35.0ms	(* (exp im) (* 0.5 (cos re)))
91.0ms	(/ (* (/ 0.5 (sqrt (exp im))) (cos re)) (sqrt (exp im)))
8.0ms	(/ 0.5 (sqrt (exp im)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* (/ 0.5 (sqrt (exp im))) (cos re)) (sqrt (exp im))))
63.0ms	(* (exp im) (* 0.5 (cos re)))
60.0ms	(/ (* (/ 0.5 (sqrt (exp im))) (cos re)) (sqrt (exp im)))
40.0ms	(/ 0.5 (sqrt (exp im)))

simplify2.1s

Counts

396 → 396

Iterations

Iter	Nodes
done	5042
2	3673
1	1193
0	472

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes179.0ms

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

sample7.7s

Algorithm

intervals

Results

3.3s	2896×	body	1280	valid
1.9s	2318×	body	640	valid
1.4s	8579×	body	80	valid
576.0ms	1242×	body	320	valid
176.0ms	654×	body	160	valid