Details

sample82.0ms

Algorithm

intervals

Results

33.0ms	46×	body	1280	valid
16.0ms	237×	body	80	valid
9.0ms	31×	body	640	valid
5.0ms	23×	body	320	valid
2.0ms	6×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

22.0ms

(* (exp re) (sin im))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (exp re) (sin im))

simplify1.8s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
4	1641
3	667
2	233
1	93
0	40

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

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)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
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:

2.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
29.0ms	(* (sqrt (exp re)) (sin im))
49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
21.0ms	(sqrt (exp re))
73.0ms	(* (sqrt (exp re)) (sin im))
54.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify3.4s

Counts

87 → 87

Iterations

Iter	Nodes
done	5005
4	4365
3	1607
2	495
1	181
0	81

prune349.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
17×	`add-exp-log`
13×	`pow-unpow` `associate-l`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`times-frac`
8×	`pow1`
7×	`unpow-prod-down`
6×	`exp-prod` `sqrt-prod`
4×	`pow-pow` `sqrt-pow1` `associate-r` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `unswap-sqr` `sqr-pow`
2×	`*-commutative`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down` `div-inv`

Counts

4 → 93

Calls

4 calls:

2.0ms	(sqrt (exp re))
5.0ms	(pow (exp 1) (/ re 2))
30.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
18.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

series213.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (exp re))
18.0ms	(pow (exp 1) (/ re 2))
108.0ms	(* (sqrt (exp re)) (* (pow (exp 1) (/ re 2)) (sin im)))
68.0ms	(* (pow (exp 1) (/ re 2)) (sin im))

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5006
3	3444
2	1037
1	363
0	144

prune586.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
26×	`associate-l`
23×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
15×	`pow-to-exp` `*-un-lft-identity` `pow-exp` `add-cube-cbrt`
14×	`unpow-prod-down`
13×	`sqrt-prod`
10×	`cbrt-unprod`
7×	`pow1`
5×	`associate-r`
4×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`exp-prod` `*-commutative` `sqr-pow`
1×	`rem-sqrt-square` `pow1/2` `pow-prod-down`

Counts

4 → 110

Calls

4 calls:

2.0ms	(sqrt (exp re))
36.0ms	(* (pow (sqrt (exp 1)) (/ re 2)) (* (pow (sqrt (exp 1)) (/ re 2)) (sin im)))
80.0ms	(* (sqrt (exp re)) (* (pow (sqrt (exp 1)) (/ re 2)) (* (pow (sqrt (exp 1)) (/ re 2)) (sin im))))
18.0ms	(* (pow (sqrt (exp 1)) (/ re 2)) (sin im))

series758.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
231.0ms	(* (pow (sqrt (exp 1)) (/ re 2)) (* (pow (sqrt (exp 1)) (/ re 2)) (sin im)))
338.0ms	(* (sqrt (exp re)) (* (pow (sqrt (exp 1)) (/ re 2)) (* (pow (sqrt (exp 1)) (/ re 2)) (sin im))))
176.0ms	(* (pow (sqrt (exp 1)) (/ re 2)) (sin im))

simplify1.8s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	1258
1	395
0	159

prune617.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	1512×	body	1280	valid
581.0ms	6962×	body	80	valid
489.0ms	1251×	body	640	valid
172.0ms	632×	body	320	valid
44.0ms	334×	body	160	valid