Details

sample204.0ms

Algorithm

intervals

Results

75.0ms	108×	body	1280	valid
65.0ms	91×	body	640	valid
29.0ms	275×	body	80	valid
13.0ms	39×	body	320	valid
4.0ms	18×	body	160	valid

simplify6.0s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite81.0ms

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:

33.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
19.0ms	(/ (sin re) (exp im))
28.0ms	(* (sin re) (exp im))

series186.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
33.0ms	(/ (sin re) (exp im))
57.0ms	(* (sin re) (exp im))

simplify2.3s

Counts

69 → 69

Iterations

Iter	Nodes
3	2141
2	706
1	246
0	105

prune650.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite182.0ms

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-+` `insert-posit16` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

37.0ms	(+ (exp (- 0 im)) (exp im))
144.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp (- 0 im)) (exp im))
123.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify2.8s

Counts

43 → 43

Iterations

Iter	Nodes
3	6424
2	1052
1	281
0	95

prune462.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
12×	`pow1` `associate-r` `add-exp-log`
10×	`sqrt-prod`
9×	`times-frac`
4×	`sqrt-pow1` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`exp-prod` `associate-/r` `associate-/l`
2×	`*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

4.0ms	(sqrt (exp im))
53.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
14.0ms	(* (sin re) (sqrt (exp im)))
14.0ms	(/ (sin re) (exp im))

series174.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp im))
54.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
49.0ms	(* (sin re) (sqrt (exp im)))
49.0ms	(/ (sin re) (exp im))

simplify2.8s

Counts

102 → 102

Iterations

Iter	Nodes
3	3186
2	886
1	282
0	126

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
0.0b	(* (sin re) (sqrt (exp im)))
0.1b	(/ (exp im) (sin re))
0.3b	(/ 1 (/ (exp im) (sin re)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
63×	`add-sqr-sqrt`
59×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`associate-/r*`
12×	`pow1` `associate-r`
8×	`div-exp`
7×	`sqrt-prod`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `*-commutative` `unswap-sqr`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

4 → 150

Calls

4 calls:

50.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
28.0ms	(* (sin re) (sqrt (exp im)))
13.0ms	(/ (exp im) (sin re))
18.0ms	(/ 1 (/ (exp im) (sin re)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* (sin re) (sqrt (exp im))) (sqrt (exp im)))
42.0ms	(* (sin re) (sqrt (exp im)))
57.0ms	(/ (exp im) (sin re))
42.0ms	(/ 1 (/ (exp im) (sin re)))

simplify9.7s

Counts

162 → 162

Iterations

Iter	Nodes
3	4366
2	1364
1	544
0	217

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes284.0ms

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	15
1	15
0	11

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.8s	2968×	body	1280	valid
2.3s	2565×	body	640	valid
1.4s	8713×	body	80	valid
990.0ms	1185×	body	320	valid
170.0ms	594×	body	160	valid