Details

sample85.0ms

Algorithm

intervals

Results

34.0ms	93×	body	1280	valid
15.0ms	75×	body	640	valid
12.0ms	270×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	18×	body	160	valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7
done	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

17.0ms	(+ (exp (- im)) (exp im))
59.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- im)) (exp im))
65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify37.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284
done	5001	284

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b	(* (* 0.5 (cos re)) (exp im))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

28.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
23.0ms	(* (* 0.5 (cos re)) (exp im))
13.0ms	(/ (* 0.5 (cos re)) (exp im))

series168.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
41.0ms	(* (* 0.5 (cos re)) (exp im))
40.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5002	384
done	5002	384

prune133.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp (- im)) 3)
0.1b	(pow (exp im) 3)
0.3b	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
5.3b	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-/r/`
18×	`frac-add`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`exp-neg` `pow-pow` `add-cbrt-cube`
13×	`add-exp-log` `neg-sub0` `exp-prod` `exp-diff`
10×	`flip3--` `flip--`
8×	`frac-times`
6×	`pow1` `unpow-prod-down` `pow-unpow` `cube-prod` `associate-*r/` `add-log-exp`
4×	`associate-*l/`
3×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in` `times-frac` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cube-div` `cube-mult` `pow-to-exp` `flip3-+` `unpow3` `pow-exp` `un-div-inv` `flip-+` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`neg-mul-1` `sub-neg` `distribute-rgt-out--` `frac-2neg` `diff-log` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 119

Calls

4 calls:

8.0ms	(pow (exp (- im)) 3)
5.0ms	(pow (exp im) 3)
195.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
16.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(pow (exp (- im)) 3)
24.0ms	(pow (exp im) 3)
231.0ms	(/ (* (* 0.5 (cos re)) (+ (pow (exp (- im)) 3) (pow (exp im) 3))) (+ (* (exp (- im)) (exp (- im))) (- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))))
50.0ms	(- (* (exp im) (exp im)) (* (exp (- im)) (exp im)))

simplify238.0ms

Counts

131 → 131

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	883	2141
1	4743	1623
2	5001	1621
done	5001	1621

prune411.0ms

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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9
done	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2955×	body	1280	valid
519.0ms	2482×	body	640	valid
365.0ms	8426×	body	80	valid
179.0ms	1220×	body	320	valid
68.0ms	659×	body	160	valid