Details

sample97.0ms

Algorithm

intervals

Results

38.0ms	98×	body	1280	valid
17.0ms	77×	body	640	valid
14.0ms	281×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	24×	body	160	valid

simplify5.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	63	12
3	120	12
4	197	12
5	244	12
6	355	12
7	423	12
8	700	12
9	1173	12
10	1473	12
11	1509	12
12	1566	12
done	1566	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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)))

rewrite312.0ms

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:

100.0ms	(+ (exp (- 0.0 im)) (exp im))
209.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
101.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify4.2s

Counts

59 → 59

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	97	642
1	272	622
2	1084	528
3	4758	527
done	5000	527

prune329.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite219.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
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-l` `*-commutative`
1×	`+-commutative` `sub-neg` `fma-def` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 67

Calls

3 calls:

70.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
36.0ms	(* (* 0.5 (sin re)) (exp im))
111.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
49.0ms	(* (* 0.5 (sin re)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.7s

Counts

76 → 76

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	161	1115
1	417	943
2	1505	807
done	5001	788

prune340.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
28.0ms	(* (* 0.5 (sin re)) (exp im))

series192.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(fma (* 0.5 (sin re)) (exp (- 0.0 im)) (* (* 0.5 (sin re)) (exp im)))
67.0ms	(* (* 0.5 (sin re)) (exp im))

simplify3.6s

Counts

36 → 36

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	87	494
1	206	480
2	694	362
3	2322	360
done	5000	359

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite366.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
28×	`cbrt-prod`
17×	`associate-r`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
10×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`cube-div` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`cube-mult` `pow-unpow` `fma-def` `unpow3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`associate-*r/`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `associate-l` `pow-exp` `sum-log` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 109

Calls

4 calls:

39.0ms	(+ (exp im) (exp (- 0.0 im)))
63.0ms	(cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))
211.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3)))
51.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)

series235.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (exp im) (exp (- 0.0 im)))
35.0ms	(cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3))
85.0ms	(* (* 0.5 (sin re)) (cbrt (pow (+ (exp im) (exp (- 0.0 im))) 3)))
73.0ms	(pow (+ (exp im) (exp (- 0.0 im))) 3)

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	160	1853
1	398	1506
2	1527	1343
done	5001	1338

prune406.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.7s	2991×	body	1280	valid
832.0ms	2451×	body	640	valid
619.0ms	8605×	body	80	valid
286.0ms	1230×	body	320	valid
93.0ms	570×	body	160	valid