Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	53×	body	1280	valid
9.0ms	210×	body	80	valid
8.0ms	42×	body	640	valid
1.0ms	12×	body	320	valid
1.0ms	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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

15.0ms

(* (exp re) (sin im))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (exp re) (sin im))

simplify2.8s

Counts

21 → 21

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	228	136
3	384	136
4	553	136
5	934	136
6	2249	136
done	5000	136

prune75.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite131.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
87.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
32.0ms	(* (sqrt (exp re)) (sin im))

series175.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
63.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
84.0ms	(* (sqrt (exp re)) (sin im))

simplify4.6s

Counts

87 → 87

Iterations

Useful iterations: 3 (490.0ms)

Iter	Nodes	Cost
0	81	731
1	171	586
2	483	526
3	906	517
4	1253	517
5	2712	517
done	5001	517

prune246.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))

rewrite103.0ms

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×	`unpow-prod-down` `exp-prod` `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 → 62

Calls

3 calls:

3.0ms	(sqrt (exp re))
70.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
28.0ms	(* (sqrt (exp re)) (sin im))

series213.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(sqrt (exp re))
114.0ms	(* (pow (exp 1) (/ re 2)) (* (sqrt (exp re)) (sin im)))
80.0ms	(* (sqrt (exp re)) (sin im))

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	106	775
1	231	672
2	693	608
3	2529	592
done	5000	466

prune217.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite579.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-pow1`
69×	`sqrt-prod`
59×	`add-sqr-sqrt`
33×	`pow1`
32×	`add-exp-log`
27×	`add-cube-cbrt` `*-un-lft-identity`
22×	`prod-exp`
21×	`exp-prod`
20×	`add-cbrt-cube`
17×	`pow1/2` `associate-l`
15×	`swap-sqr`
13×	`associate-r`
12×	`pow-prod-up`
11×	`pow-prod-down`
10×	`cbrt-unprod` `unswap-sqr`
8×	`pow-sqr`
4×	`add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-exp` `*-commutative`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `sqr-pow`

Counts

4 → 147

Calls

4 calls:

3.0ms	(sqrt (exp re))
418.0ms	(* (pow (exp 1) (/ re 2)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
44.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
109.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))

series226.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp re))
122.0ms	(* (pow (exp 1) (/ re 2)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
22.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
63.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))

simplify5.3s

Counts

159 → 159

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	181	2289
1	370	1219
2	1163	1098
3	4984	1056
done	5001	1056

prune533.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes214.0ms

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: 0 (0.0ms)

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

end0.0ms

sample3.2s

Algorithm

intervals

Results

873.0ms	1278×	body	640	valid
834.0ms	1481×	body	1280	valid
795.0ms	6960×	body	80	valid
172.0ms	620×	body	320	valid
54.0ms	327×	body	160	valid