Details

sample183.0ms

Algorithm

intervals

Results

72.0ms	103×	body	1280	valid
36.0ms	245×	body	80	valid
33.0ms	78×	body	640	valid
9.0ms	34×	body	320	valid
4.0ms	19×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
134.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series156.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (exp (- 0.0 im)) (exp im))
119.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.4s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1569
1	279
0	93

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

27.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
21.0ms	(* (sin re) (exp im))
15.0ms	(/ (sin re) (exp im))

series168.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
34.0ms	(* (sin re) (exp im))
37.0ms	(/ (sin re) (exp im))

simplify1.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	1020
1	245
0	102

prune396.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin re) (/ 1 (exp im)))
0.0b	(+ (* (sin re) (exp im)) (* (sin re) (/ 1 (exp im))))
0.0b	(* (sin re) (exp im))
0.0b	(/ 1 (exp im))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
20×	`times-frac`
16×	`associate-r`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`prod-exp`
4×	`div-exp` `pow-flip` `unswap-sqr`
3×	`exp-prod` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `associate-*r/` `un-div-inv` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 100

Calls

4 calls:

20.0ms	(* (sin re) (/ 1 (exp im)))
11.0ms	(+ (* (sin re) (exp im)) (* (sin re) (/ 1 (exp im))))
19.0ms	(* (sin re) (exp im))
7.0ms	(/ 1 (exp im))

series221.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (sin re) (/ 1 (exp im)))
94.0ms	(+ (* (sin re) (exp im)) (* (sin re) (/ 1 (exp im))))
56.0ms	(* (sin re) (exp im))
13.0ms	(/ 1 (exp im))

simplify4.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	3077
1	375
0	145

prune612.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample7.5s

Algorithm

intervals

Results

3.1s	2916×	body	1280	valid
1.8s	2588×	body	640	valid
1.1s	8548×	body	80	valid
818.0ms	1243×	body	320	valid
170.0ms	608×	body	160	valid