Details

sample284.0ms

Algorithm

intervals

Results

133.0ms	90×	body	1280	valid
53.0ms	97×	body	640	valid
34.0ms	303×	body	80	valid
18.0ms	49×	body	320	valid
5.0ms	19×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	61	12
3	108	12
4	174	12
5	759	12
done	5000	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite364.0ms

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:

92.0ms	(+ (exp (- 0.0 im)) (exp im))
268.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (exp (- 0.0 im)) (exp im))
159.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.5s

Counts

41 → 41

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	93	600
1	277	582
2	1548	494
done	5001	489

prune287.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

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)))

rewrite387.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

154.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
63.0ms	(* (exp im) (* 0.5 (sin re)))
167.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series405.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
96.0ms	(* (exp im) (* 0.5 (sin re)))
110.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	113	882
1	319	758
2	1320	650
done	5001	637

prune892.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.0b	(pow (exp im) 3)
0.0b	(pow (exp (- 0.0 im)) 3)
7.6b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
50×	`exp-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`unpow-prod-down` `cube-prod` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`swap-sqr` `difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff` `associate-r` `associate-l`
4×	`add-exp-log`
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` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

202.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
9.0ms	(pow (exp im) 3)
49.0ms	(pow (exp (- 0.0 im)) 3)
34.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
42.0ms	(pow (exp im) 3)
50.0ms	(pow (exp (- 0.0 im)) 3)
86.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify6.8s

Counts

141 → 141

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	167	1419
1	557	1067
2	4397	980
done	5001	980

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	16	17
done	16	17

end0.0ms

sample9.1s

Algorithm

intervals

Results

3.2s	3043×	body	1280	valid
2.6s	8472×	body	80	valid
1.6s	2424×	body	640	valid
645.0ms	1224×	body	320	valid
158.0ms	620×	body	160	valid