Details

sample302.0ms

Algorithm

intervals

Results

117.0ms	104×	body	1280	valid
78.0ms	279×	body	80	valid
59.0ms	77×	body	640	valid
18.0ms	36×	body	320	valid
5.0ms	14×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

Iter	Nodes
11	2057
10	1487
9	1224
8	917
7	777
6	669
5	347
4	178
3	98
2	60
1	27
0	11

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

16.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
9.0ms	(/ (sin re) (exp im))
14.0ms	(* (sin re) (exp im))

series185.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
35.0ms	(/ (sin re) (exp im))
48.0ms	(* (sin re) (exp im))

simplify714.0ms

Counts

69 → 69

Iterations

Iter	Nodes
3	2273
2	716
1	248
0	105

prune616.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

1 → 24

Calls

1 calls:

129.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify2.5s

Counts

27 → 27

Iterations

Iter	Nodes
3	6585
2	1089
1	253
0	80

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (exp (- 0 im)) (exp im)))
0.0b	(sqrt (+ (exp (- 0 im)) (exp im)))
0.4b	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
0.5b	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`*-un-lft-identity` `add-cbrt-cube` `sqrt-div` `add-exp-log`
16×	`sqrt-prod`
14×	`associate-r`
12×	`add-sqr-sqrt`
10×	`associate-*r/` `add-cube-cbrt`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times` `insert-posit16` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

43.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
56.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
267.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
106.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
70.0ms	(sqrt (+ (exp (- 0 im)) (exp im)))
122.0ms	(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im)))) (sqrt (+ (exp (- 0 im)) (exp im))))
162.0ms	(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0 im)) (exp im))))

simplify3.3s

Counts

105 → 105

Iterations

Iter	Nodes
3	6791
2	1569
1	434
0	159

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes307.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.1s	3002×	body	1280	valid
2.4s	2440×	body	640	valid
1.9s	8604×	body	80	valid
1.0s	1250×	body	320	valid
202.0ms	578×	body	160	valid