Details

sample61.0ms

Algorithm

intervals

Results

22.0ms	53×	body	1280	valid
11.0ms	210×	body	80	valid
10.0ms	42×	body	640	valid
2.0ms	12×	body	320	valid
2.0ms	14×	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))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (exp re) (sin im))

simplify3.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (169.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	238	148
3	409	146
4	619	146
5	1014	146
6	2343	146
done	5000	146

prune87.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(sqrt (exp re))
7.0ms	(sqrt (exp re))
71.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
26.0ms	(* (sqrt (exp re)) (sin im))

series172.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
77.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
68.0ms	(* (sqrt (exp re)) (sin im))

simplify4.9s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	87	783
1	182	622
2	515	565
3	1048	556
4	1453	551
5	2930	551
done	5001	551

prune304.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
0.0b	(* (sqrt (exp re)) (sin im))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log`
15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `add-cbrt-cube`
7×	`sqrt-prod`
6×	`pow1`
4×	`sqrt-pow1` `associate-r` `cbrt-unprod`
3×	`expm1-log1p-u` `unpow-prod-down` `exp-prod` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-exp` `*-commutative` `unswap-sqr`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `sqr-pow`

Counts

3 → 68

Calls

3 calls:

5.0ms	(sqrt (exp re))
69.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
33.0ms	(* (sqrt (exp re)) (sin im))

series154.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(sqrt (exp re))
86.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
54.0ms	(* (sqrt (exp re)) (sin im))

simplify3.0s

Counts

77 → 77

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	112	825
1	246	715
2	728	654
3	2668	637
done	5000	492

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))))
0.0b	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
0.0b	(* (pow (exp 1) (/ re 2)) (* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im)))
0.0b	(* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im))

rewrite834.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
48×	`cbrt-prod`
47×	`add-sqr-sqrt`
40×	`prod-exp`
39×	`pow1`
24×	`sqrt-prod`
22×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
20×	`add-cbrt-cube` `cbrt-unprod`
18×	`associate-l`
15×	`pow1/3`
13×	`pow-prod-down`
12×	`unswap-sqr`
11×	`swap-sqr` `pow-prod-up`
7×	`pow-plus`
5×	`pow-sqr`
4×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `unpow-prod-down`
1×	`pow3` `sqr-pow`

Counts

4 → 156

Calls

4 calls:

64.0ms	(* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))))
26.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
550.0ms	(* (pow (exp 1) (/ re 2)) (* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im)))
183.0ms	(* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im))

series297.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re))))
99.0ms	(* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re))))
89.0ms	(* (pow (exp 1) (/ re 2)) (* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im)))
92.0ms	(* (* (* (cbrt (sqrt (exp re))) (cbrt (sqrt (exp re)))) (cbrt (sqrt (exp re)))) (sin im))

simplify1.8s

Counts

168 → 168

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	190	3022
1	427	2701
2	1430	1844
done	5000	1566

prune528.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes91.0ms

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: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	17	12
done	17	12

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	6960×	body	80	valid
917.0ms	1481×	body	1280	valid
482.0ms	1278×	body	640	valid
130.0ms	620×	body	320	valid
49.0ms	327×	body	160	valid