Details

sample73.0ms

Algorithm

intervals

Results

26.0ms	53×	body	1280	valid
12.0ms	210×	body	80	valid
12.0ms	43×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	14×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

25.0ms

(* (exp re) (cos im))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (exp re) (cos im))

simplify2.8s

Counts

23 → 23

Iterations

Useful iterations: 4 (617.0ms)

Iter	Nodes	Cost
0	40	169
1	82	164
2	210	145
3	350	145
4	490	144
5	868	144
6	2183	144
done	5000	144

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos im) (exp re))
0.2b	(cbrt (pow (* (cos im) (exp re)) 3))
0.3b	(pow (* (cos im) (exp re)) 3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

16.0ms	(* (cos im) (exp re))
4.0ms	(cbrt (pow (* (cos im) (exp re)) 3))
11.0ms	(pow (* (cos im) (exp re)) 3)

series123.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (cos im) (exp re))
32.0ms	(cbrt (pow (* (cos im) (exp re)) 3))
58.0ms	(pow (* (cos im) (exp re)) 3)

simplify3.2s

Counts

72 → 72

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	84	663
1	160	528
2	509	499
3	3042	496
done	5001	492

prune279.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (pow (* (cos im) (exp re)) 2)) (cbrt (* (cos im) (exp re))))
0.2b	(pow (* (cos im) (exp re)) 2)
0.2b	(cbrt (* (cos im) (exp re)))
0.2b	(cbrt (pow (* (cos im) (exp re)) 2))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`add-exp-log`
5×	`unpow2`
4×	`expm1-log1p-u` `pow1/3` `associate-r` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down`
2×	`pow-pow` `pow-exp` `prod-exp`
1×	`pow-to-exp` `pow3` `*-commutative` `cbrt-unprod`

Counts

4 → 79

Calls

4 calls:

55.0ms	(* (cbrt (pow (* (cos im) (exp re)) 2)) (cbrt (* (cos im) (exp re))))
12.0ms	(pow (* (cos im) (exp re)) 2)
16.0ms	(cbrt (* (cos im) (exp re)))
4.0ms	(cbrt (pow (* (cos im) (exp re)) 2))

series353.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (pow (* (cos im) (exp re)) 2)) (cbrt (* (cos im) (exp re))))
70.0ms	(pow (* (cos im) (exp re)) 2)
99.0ms	(cbrt (* (cos im) (exp re)))
131.0ms	(cbrt (pow (* (cos im) (exp re)) 2))

simplify1.7s

Counts

91 → 91

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	106	1156
1	206	1091
2	525	990
3	1686	953
done	5000	953

prune399.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

805.0ms	1489×	body	1280	valid
733.0ms	1274×	body	640	valid
510.0ms	6963×	body	80	valid
236.0ms	614×	body	320	valid
47.0ms	326×	body	160	valid