Details

sample222.0ms

Algorithm

intervals

Results

104.0ms	96×	body	1280	valid
38.0ms	79×	body	640	valid
31.0ms	263×	body	80	valid
11.0ms	30×	body	320	valid
4.0ms	21×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite146.0ms

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:

143.0ms

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

series113.0ms

Counts

1 → 3

Calls

1 calls:

113.0ms

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

simplify935.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
2	1461
1	246
0	79

prune117.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-cbrt-cube`
10×	`add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`associate-r/` `-commutative` `add-log-exp`
1×	`exp-diff`

Counts

2 → 37

Calls

2 calls:

58.0ms	(* (* (exp im) 0.5) (sin re))
146.0ms	(* (sin re) (* 0.5 (exp (- 0.0 im))))

series159.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(* (* (exp im) 0.5) (sin re))
64.0ms	(* (sin re) (* 0.5 (exp (- 0.0 im))))

simplify636.0ms

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
2	1310
1	260
0	95

prune268.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (exp im) 0.5) (sin re))
0.0b	(* (sin re) (exp (- 0.0 im)))
0.3b	(pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3)
19.4b	(cbrt (pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube`
14×	`add-exp-log`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`cbrt-prod` `associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `pow-pow` `exp-diff` `pow-exp` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `exp-sum` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `sub-neg` `pow1/3` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

56.0ms	(* (* (exp im) 0.5) (sin re))
85.0ms	(* (sin re) (exp (- 0.0 im)))
160.0ms	(pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3)
7.0ms	(cbrt (pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3))

series307.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (exp im) 0.5) (sin re))
68.0ms	(* (sin re) (exp (- 0.0 im)))
86.0ms	(pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3)
88.0ms	(cbrt (pow (* 0.5 (* (sin re) (exp (- 0.0 im)))) 3))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	2661
1	464
0	160

prune584.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes174.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.0s	2948×	body	1280	valid
1.7s	2516×	body	640	valid
1.3s	8512×	body	80	valid
463.0ms	1204×	body	320	valid
228.0ms	635×	body	160	valid