Details

sample232.0ms

Algorithm

intervals

Results

82.0ms	98×	body	1280	valid
55.0ms	106×	body	640	valid
36.0ms	256×	body	80	valid
19.0ms	54×	body	320	valid
6.0ms	27×	body	160	valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	3537
10	3537
9	3535
8	3405
7	2739
6	1792
5	770
4	238
3	102
2	59
1	23
0	10

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite32.0ms

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:

1.0ms	(fma (cos re) (exp im) (/ (cos re) (exp im)))
25.0ms	(/ (cos re) (exp im))

series196.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(fma (cos re) (exp im) (/ (cos re) (exp im)))
70.0ms	(/ (cos re) (exp im))

simplify3.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5006
4	3314
3	1002
2	361
1	141
0	74

prune391.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

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:

40.0ms	(+ (exp (- im)) (exp im))
127.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(+ (exp (- im)) (exp im))
123.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify2.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
2	1277
1	284
0	91

prune455.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cos re) (exp im))
0.2b	(* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
0.3b	(* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
0.4b	(cbrt (* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
20×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`times-frac`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `associate-/r` `pow-sqr` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `cbrt-prod` `frac-2neg` `pow1/3` `div-exp` `clear-num` `rem-cbrt-cube` `div-inv`

Counts

4 → 102

Calls

4 calls:

24.0ms	(/ (cos re) (exp im))
42.0ms	(* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
15.0ms	(* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
30.0ms	(cbrt (* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))

series545.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (cos re) (exp im))
190.0ms	(* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
151.0ms	(* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im))))
140.0ms	(cbrt (* (* (fma (cos re) (exp im) (/ (cos re) (exp im))) (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))

simplify4.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
3	2849
2	943
1	311
0	139

prune882.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (* (* (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))) (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))
0.7b	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
0.7b	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
0.7b	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

239.0ms	(cbrt (* (* (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))) (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))
2.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
2.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
2.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))

series1.0s

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (* (* (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))) (* (cbrt (fma (cos re) (exp im) (/ (cos re) (exp im)))) (fma (cos re) (exp im) (/ (cos re) (exp im))))) (fma (cos re) (exp im) (/ (cos re) (exp im)))))
290.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
290.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))
277.0ms	(cbrt (fma (cos re) (exp im) (/ (cos re) (exp im))))

simplify2.8s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	1389
2	335
1	101
0	52

prune677.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes462.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.0s	2961×	body	1280	valid
1.4s	2490×	body	640	valid
1.3s	8532×	body	80	valid
602.0ms	1194×	body	320	valid
132.0ms	604×	body	160	valid