Details

sample158.0ms

Algorithm

intervals

Results

49.0ms	85×	body	1280	valid
46.0ms	299×	body	80	valid
30.0ms	78×	body	640	valid
8.0ms	37×	body	320	valid
3.0ms	18×	body	160	valid

simplify905.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	760
4	175
3	108
2	61
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

51.0ms	(+ (exp (- 0.0 im)) (exp im))
137.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series136.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
111.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify805.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1569
1	279
0	93

prune251.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(pow (exp im) 3)
0.3b	(/ (* (sin re) (* 0.5 (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
5.0b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite538.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

19.0ms	(pow (exp (- 0.0 im)) 3)
4.0ms	(pow (exp im) 3)
499.0ms	(/ (* (sin re) (* 0.5 (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
13.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series535.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(pow (exp (- 0.0 im)) 3)
43.0ms	(pow (exp im) 3)
373.0ms	(/ (* (sin re) (* 0.5 (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
78.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify541.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
1	881
0	245

prune777.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize158.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
0.2b	(sqrt (+ (exp (* 2 (- 0.0 im))) (* (exp im) (- (exp im) (exp (- 0.0 im))))))
5.0b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
5.0b	(- (exp im) (exp (- 0.0 im)))

rewrite385.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `sqrt-div`
8×	`*-un-lft-identity` `exp-diff` `add-log-exp`
6×	`pow1` `frac-add` `add-cube-cbrt` `sqrt-prod`
5×	`flip3--` `flip--`
4×	`add-cbrt-cube` `add-exp-log`
2×	`frac-times` `rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `associate-l/` `associate-r/` `flip-+`
1×	`distribute-rgt-out--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 63

Calls

4 calls:

300.0ms	(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
23.0ms	(sqrt (+ (exp (* 2 (- 0.0 im))) (* (exp im) (- (exp im) (exp (- 0.0 im))))))
26.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
33.0ms	(- (exp im) (exp (- 0.0 im)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
173.0ms	(sqrt (+ (exp (* 2 (- 0.0 im))) (* (exp im) (- (exp im) (exp (- 0.0 im))))))
61.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
70.0ms	(- (exp im) (exp (- 0.0 im)))

simplify1.2s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	2590
1	538
0	198

prune822.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))
0.0b	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
0.0b	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
0.3b	(* (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))) (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
38×	`associate-*l/`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `flip3-+` `add-cube-cbrt` `flip-+`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`associate-r/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

189.0ms	(* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))
159.0ms	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
144.0ms	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
1.1s	(* (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))) (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))))

series794.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))
211.0ms	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
216.0ms	(sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re)))
234.0ms	(* (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))) (sqrt (* (* (+ (exp (- 0.0 im)) (exp im)) 0.5) (sin re))))

simplify1.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	5004
2	2533
1	471
0	173

prune643.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes381.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.5s	3050×	body	1280	valid
1.8s	2621×	body	640	valid
956.0ms	8522×	body	80	valid
456.0ms	1217×	body	320	valid
159.0ms	632×	body	160	valid