Details

sample197.0ms

Algorithm

intervals

Results

75.0ms	92×	body	1280	valid
53.0ms	81×	body	640	valid
23.0ms	232×	body	80	valid
13.0ms	40×	body	320	valid
3.0ms	11×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	124	12
4	207	12
5	803	12
done	5001	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

66.0ms	(+ (exp (- 0.0 im)) (exp im))
224.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
93.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.3s

Counts

59 → 59

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	97	642
1	286	622
2	1618	532
done	5001	528

prune380.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-l`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `exp-sum`
9×	`add-exp-log` `prod-diff`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `fma-def` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

87.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
26.0ms	(* (exp im) (* 0.5 (sin re)))
91.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
80.0ms	(* (exp im) (* 0.5 (sin re)))
70.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	137	1113
1	378	945
2	1563	799
done	5000	788

prune507.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

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)))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

90.0ms	(+ (exp (- 0.0 im)) (exp im))
189.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- 0.0 im)) (exp im))
116.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.7s

Counts

59 → 59

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	97	642
1	286	622
2	1618	532
done	5001	528

prune342.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.1b	(pow (exp im) 3)
0.1b	(pow (exp (- 0.0 im)) 3)
5.6b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
70×	`exp-sum`
58×	`add-cube-cbrt`
55×	`prod-diff`
50×	`exp-prod`
17×	`unpow-prod-down` `cube-prod`
16×	`swap-sqr`
14×	`associate-r` `associate-l`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `frac-times` `flip3--` `distribute-rgt-out--` `pow-plus` `fma-neg` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 184

Calls

4 calls:

152.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
8.0ms	(pow (exp im) 3)
42.0ms	(pow (exp (- 0.0 im)) 3)
17.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
26.0ms	(pow (exp im) 3)
42.0ms	(pow (exp (- 0.0 im)) 3)
66.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify605.0ms

Counts

196 → 196

Iterations

Useful iterations: done (595.0ms)

Iter	Nodes	Cost
0	251	2847
1	835	2055
done	5000	1683

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	14	12
done	14	12

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.4s	2956×	body	1280	valid
1.8s	8681×	body	80	valid
1.4s	2487×	body	640	valid
569.0ms	1200×	body	320	valid
117.0ms	609×	body	160	valid