Details

sample212.0ms

Algorithm

intervals

Results

73.0ms	82×	body	640	valid
73.0ms	101×	body	1280	valid
25.0ms	268×	body	80	valid
12.0ms	43×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	760
4	175
3	108
2	61
1	26
0	11

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

169.0ms

(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

series108.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

simplify749.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1461
1	246
0	79

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* re 1.0) (* (pow re 3) 0.16666666666666666))
0.0b	(* (* (* re im) im) 0.5)
0.1b	(* (pow re 3) 0.16666666666666666)
0.1b	(* (* re im) im)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
17×	`add-sqr-sqrt`
14×	`associate-l`
12×	`prod-exp`
10×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
9×	`associate-r` `pow-prod-down`
6×	`add-log-exp`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--`

Counts

4 → 82

Calls

4 calls:

7.0ms	(- (* re 1.0) (* (pow re 3) 0.16666666666666666))
56.0ms	(* (* (* re im) im) 0.5)
13.0ms	(* (pow re 3) 0.16666666666666666)
25.0ms	(* (* re im) im)

series333.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(- (* re 1.0) (* (pow re 3) 0.16666666666666666))
62.0ms	(* (* (* re im) im) 0.5)
56.0ms	(* (pow re 3) 0.16666666666666666)
53.0ms	(* (* re im) im)

simplify1.6s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	2304
1	355
0	132

prune468.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* re im) im)
0.2b	(* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5)))
0.2b	(* (* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5))) (cbrt 0.5))
1.0b	(* (cbrt 0.5) (cbrt 0.5))

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
42×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
40×	`add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`cbrt-prod`
16×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
6×	`pow1/3` `swap-sqr`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 122

Calls

4 calls:

26.0ms	(* (* re im) im)
75.0ms	(* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5)))
310.0ms	(* (* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5))) (cbrt 0.5))
17.0ms	(* (cbrt 0.5) (cbrt 0.5))

series338.0ms

Counts

4 → 10

Calls

4 calls:

33.0ms	(* (* re im) im)
180.0ms	(* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5)))
125.0ms	(* (* (* (* re im) im) (* (cbrt 0.5) (cbrt 0.5))) (cbrt 0.5))
0.0ms	(* (cbrt 0.5) (cbrt 0.5))

simplify2.1s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
2	2942
1	390
0	131

prune932.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cbrt 0.5) 2)
1.0b	(cbrt (sqrt 0.5))
1.0b	(cbrt (sqrt 0.5))
7.1b	(* (* im im) (* re (pow (cbrt 0.5) 2)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
18×	`prod-exp`
16×	`add-cbrt-cube`
15×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
8×	`cbrt-unprod`
6×	`unpow-prod-down` `sqrt-prod`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-unpow` `pow1/3` `pow-prod-down` `pow-exp`
2×	`pow-pow`
1×	`associate-r` `associate-l` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

5.0ms	(pow (cbrt 0.5) 2)
2.0ms	(cbrt (sqrt 0.5))
2.0ms	(cbrt (sqrt 0.5))
49.0ms	(* (* im im) (* re (pow (cbrt 0.5) 2)))

series126.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(pow (cbrt 0.5) 2)
0.0ms	(cbrt (sqrt 0.5))
0.0ms	(cbrt (sqrt 0.5))
125.0ms	(* (* im im) (* re (pow (cbrt 0.5) 2)))

simplify798.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	1425
1	303
0	108

prune411.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes198.0ms

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	14
1	14
0	11

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.7s	3036×	body	1280	valid
1.8s	2502×	body	640	valid
1.5s	8534×	body	80	valid
440.0ms	1211×	body	320	valid
185.0ms	596×	body	160	valid