Details

sample82.0ms

Algorithm

intervals

Results

29.0ms	52×	body	1280	valid
15.0ms	223×	body	80	valid
12.0ms	39×	body	640	valid
5.0ms	24×	body	320	valid
2.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

16.0ms

(* (exp re) (sin im))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(* (exp re) (sin im))

simplify2.5s

Counts

23 → 23

Iterations

Useful iterations: 3 (460.0ms)

Iter	Nodes	Cost
0	42	173
1	97	168
2	383	150
3	2386	146
done	5001	146

prune72.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
17.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (exp re))
84.0ms	(cbrt (exp re))
119.0ms	(cbrt (exp re))
129.0ms	(* (cbrt (exp re)) (cbrt (exp re)))

simplify5.5s

Counts

93 → 93

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	64	718
1	140	649
2	496	605
3	3462	553
done	5001	525

prune355.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(expm1 (log1p (* (exp re) (sin im))))
0.2b	(log1p (* (exp re) (sin im)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

16.0ms	(* (exp re) (sin im))
0.0ms	(expm1 (log1p (* (exp re) (sin im))))
1.0ms	(log1p (* (exp re) (sin im)))

series185.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (exp re) (sin im))
73.0ms	(expm1 (log1p (* (exp re) (sin im))))
69.0ms	(log1p (* (exp re) (sin im)))

simplify2.8s

Counts

51 → 51

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	67	417
1	140	381
2	534	337
3	3564	328
done	5001	327

prune189.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(log1p (expm1 (* (exp re) (sin im))))
0.2b	(expm1 (* (exp re) (sin im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

24.0ms	(* (exp re) (sin im))
0.0ms	(log1p (expm1 (* (exp re) (sin im))))
1.0ms	(expm1 (* (exp re) (sin im)))

series205.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (exp re) (sin im))
76.0ms	(log1p (expm1 (* (exp re) (sin im))))
86.0ms	(expm1 (* (exp re) (sin im)))

simplify3.4s

Counts

51 → 51

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	67	417
1	145	379
2	527	336
3	3687	331
done	5001	329

prune150.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	10	14
done	10	14

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	1551×	body	1280	valid
776.0ms	6990×	body	80	valid
394.0ms	1265×	body	640	valid
156.0ms	602×	body	320	valid
54.0ms	350×	body	160	valid