Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	46×	body	1280	valid
9.0ms	48×	body	640	valid
8.0ms	213×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

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))

rewrite17.0ms

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:

16.0ms

(* (exp re) (sin im))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify161.0ms

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86
done	5001	86

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

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:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
22.0ms	(* (sqrt (exp re)) (sin im))
55.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
53.0ms	(* (sqrt (exp re)) (sin im))
40.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify61.0ms

Counts

87 → 87

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359
done	5001	359

prune203.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
15×	`add-sqr-sqrt` `associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 80

Calls

4 calls:

4.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
179.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im))))
69.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))

series118.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
40.0ms	(* (sqrt (exp re)) (* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im))))
50.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (sin im)))

simplify74.0ms

Counts

92 → 92

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	221	654
1	808	497
2	2714	461
3	5001	454
done	5001	454

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(pow (sqrt (sqrt (exp re))) 3)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-prod`
25×	`add-sqr-sqrt`
24×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `unpow-prod-down` `sqrt-pow1` `cube-prod`
10×	`add-cbrt-cube`
9×	`pow1` `exp-prod` `prod-exp`
8×	`pow-pow`
4×	`pow1/2` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow-exp` `cbrt-unprod`
2×	`cube-mult` `rem-sqrt-square` `unpow3` `sqr-pow`
1×	`associate-r` `*-commutative` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 116

Calls

4 calls:

72.0ms	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
3.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
8.0ms	(pow (sqrt (sqrt (exp re))) 3)

series168.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (pow (sqrt (sqrt (exp re))) 3) (* (sqrt (sqrt (exp re))) (sin im)))
13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
101.0ms	(pow (sqrt (sqrt (exp re))) 3)

simplify60.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	336	778
1	1481	642
2	5001	595
done	5001	595

prune293.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes77.0ms

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	12	10
1	12	10
done	12	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

491.0ms	1562×	body	1280	valid
266.0ms	6944×	body	80	valid
225.0ms	1266×	body	640	valid
78.0ms	621×	body	320	valid
25.0ms	310×	body	160	valid