Details

sample213.0ms

Algorithm

intervals

Results

102.0ms	92×	body	1280	valid
40.0ms	99×	body	640	valid
25.0ms	291×	body	80	valid
12.0ms	42×	body	320	valid
3.0ms	17×	body	160	valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	30	12
2	92	12
3	285	12
4	2755	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite266.0ms

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:

69.0ms	(+ (exp (- 0.0 im)) (exp im))
195.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp (- 0.0 im)) (exp im))
122.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify3.6s

Counts

41 → 41

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	93	600
1	556	582
done	5001	489

prune158.0ms

Pruning

4 alts after pruning (4 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)))
0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

93.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
124.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
30.0ms	(* (* 0.5 (sin re)) (exp im))

series289.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
149.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
49.0ms	(* (* 0.5 (sin re)) (exp im))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	116	884
1	758	749
done	5000	641

prune230.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

20.0ms	(/ (sin re) (exp im))
47.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
49.0ms	(* (* 0.5 (sin re)) (exp im))

series251.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (sin re) (exp im))
151.0ms	(+ (* 0.5 (/ (sin re) (exp im))) (* (* 0.5 (sin re)) (exp im)))
53.0ms	(* (* 0.5 (sin re)) (exp im))

simplify7.6s

Counts

65 → 65

Iterations

Useful iterations: done (7.6s)

Iter	Nodes	Cost
0	122	838
1	1322	770
done	5000	656

prune304.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
157×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
25×	`associate-/l*`
16×	`add-cbrt-cube`
14×	`add-exp-log`
12×	`associate-/r*`
9×	`pow1` `div-inv`
6×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+` `associate-/l/`

Counts

4 → 243

Calls

4 calls:

62.0ms	(+ (* 0.5 (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
12.0ms	(/ (sin re) (sqrt (exp im)))
26.0ms	(* (* 0.5 (sin re)) (exp im))

series310.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 0.5 (/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))) (* (* 0.5 (sin re)) (exp im)))
63.0ms	(/ (/ (sin re) (sqrt (exp im))) (sqrt (exp im)))
64.0ms	(/ (sin re) (sqrt (exp im)))
52.0ms	(* (* 0.5 (sin re)) (exp im))

simplify8.9s

Counts

255 → 255

Iterations

Useful iterations: done (8.9s)

Iter	Nodes	Cost
0	325	5184
1	2392	4436
done	5000	4170

prune899.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	14	15
done	14	15

end0.0ms

sample7.1s

Algorithm

intervals

Results

3.1s	2971×	body	1280	valid
1.9s	2460×	body	640	valid
939.0ms	8550×	body	80	valid
458.0ms	1237×	body	320	valid
117.0ms	592×	body	160	valid