Details

sample92.0ms

Algorithm

intervals

Results

38.0ms	101×	body	1280	valid
16.0ms	271×	body	80	valid
13.0ms	65×	body	640	valid
6.0ms	43×	body	320	valid
1.0ms	14×	body	160	valid

simplify3.3s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite193.0ms

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:

55.0ms	(+ (exp (- 0.0 im)) (exp im))
136.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
70.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify2.7s

Counts

59 → 59

Iterations

Useful iterations: 3 (1.4s)

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

prune174.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite153.0ms

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:

60.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
24.0ms	(* (* 0.5 (sin re)) (exp im))
66.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
38.0ms	(* (* 0.5 (sin re)) (exp im))
48.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

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

prune192.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite586.0ms

Algorithm

rewrite-expression-head

Rules

37×	`associate-r`
28×	`sqrt-prod`
23×	`pow1` `add-cbrt-cube`
22×	`exp-sum`
21×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`prod-diff`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`exp-diff` `sqrt-div`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`associate-l` `*-commutative`
2×	`sub-neg`
1×	`+-commutative` `frac-times` `fma-def` `flip3-+` `associate-*l/` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

25.0ms	(* (* 0.5 (sin re)) (exp im))
238.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
249.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
70.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))

series236.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 0.5 (sin re)) (exp im))
94.0ms	(+ (* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im)))) (* (* 0.5 (sin re)) (exp im)))
48.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
56.0ms	(* (* 0.5 (sin re)) (sqrt (exp (- 0.0 im))))

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	222	2232
1	561	1740
2	1932	1445
done	5001	1341

prune315.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp im) 3)
0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.3b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.6b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite523.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
48×	`exp-sum`
45×	`exp-prod`
44×	`add-cube-cbrt`
37×	`prod-diff`
16×	`swap-sqr` `add-cbrt-cube`
14×	`associate-r` `associate-l`
13×	`add-exp-log`
12×	`pow1` `exp-diff` `distribute-lft-out--`
8×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
7×	`sub-neg`
6×	`frac-add` `add-log-exp` `difference-of-squares`
5×	`associate-*r/`
4×	`expm1-log1p-u` `flip3--` `pow-pow` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-times` `unpow-prod-down` `pow-unpow` `times-frac` `cube-prod` `div-exp` `associate-l/` `associate-/r`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`pow2` `cube-mult` `pow-to-exp` `distribute-rgt-out--` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `unpow3` `pow-exp` `clear-num` `-commutative` `div-inv` `associate-/l` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 166

Calls

4 calls:

4.0ms	(pow (exp im) 3)
119.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
375.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
17.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp im) 3)
16.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
242.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
46.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify1.9s

Counts

178 → 178

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	335	4189
1	921	3177
2	3944	2553
done	5000	2546

prune589.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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	14	24
1	19	24
done	19	24

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3003×	body	1280	valid
538.0ms	2372×	body	640	valid
399.0ms	8503×	body	80	valid
179.0ms	1264×	body	320	valid
59.0ms	606×	body	160	valid