Details

sample266.0ms

Algorithm

intervals

Results

126.0ms	108×	body	1280	valid
56.0ms	91×	body	640	valid
41.0ms	275×	body	80	valid
16.0ms	39×	body	320	valid
5.0ms	18×	body	160	valid

simplify7.6s

Counts

1 → 1

Iterations

Iter	Nodes
11	2238
10	1646
9	1356
8	1065
7	920
6	799
5	382
4	205
3	115
2	62
1	27
0	11

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 55

Calls

2 calls:

65.0ms	(+ (exp (- 0 im)) (exp im))
143.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (exp (- 0 im)) (exp im))
144.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

simplify3.4s

Counts

61 → 61

Iterations

Iter	Nodes
3	6322
2	1090
1	284
0	99

prune657.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

17×	`associate-r`
13×	`pow1` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity` `exp-sum` `add-cube-cbrt`
9×	`prod-diff` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`exp-neg` `associate-l` `associate-r/` `-commutative` `sub0-neg`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `flip3-+` `exp-diff` `un-div-inv` `flip-+` `distribute-lft-out`

Counts

3 → 72

Calls

3 calls:

58.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0 im))) (* (* 0.5 (sin re)) (exp im)))
74.0ms	(* (* 0.5 (sin re)) (exp (- 0 im)))
48.0ms	(* (* 0.5 (sin re)) (exp im))

series219.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0 im))) (* (* 0.5 (sin re)) (exp im)))
56.0ms	(* (* 0.5 (sin re)) (exp (- 0 im)))
51.0ms	(* (* 0.5 (sin re)) (exp im))

simplify4.5s

Counts

81 → 81

Iterations

Iter	Nodes
3	7071
2	1621
1	428
0	163

prune933.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-r`
24×	`pow1`
23×	`add-cbrt-cube`
21×	`add-exp-log`
18×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`exp-sum`
9×	`prod-diff` `sqrt-prod`
4×	`expm1-log1p-u` `sqrt-pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `associate-l` `*-commutative`
2×	`exp-neg` `associate-*r/` `sub0-neg`
1×	`rem-sqrt-square` `sub-neg` `pow1/2` `exp-diff` `un-div-inv`

Counts

4 → 105

Calls

4 calls:

2.0ms	(sqrt (exp im))
35.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
86.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))
75.0ms	(* (* 0.5 (sin re)) (exp (- 0 im)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp im))
67.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
58.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))
71.0ms	(* (* 0.5 (sin re)) (exp (- 0 im)))

simplify3.7s

Counts

117 → 117

Iterations

Iter	Nodes
3	5552
2	1453
1	445
0	183

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (exp im) (sin re) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))
0.2b	(expm1 (log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)))
0.4b	(log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`expm1-log1p-u` `add-exp-log`
4×	`pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `fma-udef` `div-inv` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

0.0ms	(fma (exp im) (sin re) (/ (sin re) (exp im)))
9.0ms	(/ (sin re) (exp im))
0.0ms	(expm1 (log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)))
1.0ms	(log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5))

series555.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(fma (exp im) (sin re) (/ (sin re) (exp im)))
38.0ms	(/ (sin re) (exp im))
230.0ms	(expm1 (log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5)))
177.0ms	(log1p (* (fma (exp im) (sin re) (/ (sin re) (exp im))) 0.5))

simplify3.0s

Counts

77 → 77

Iterations

Iter	Nodes
4	4917
3	1563
2	601
1	234
0	122

prune872.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

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	20
1	20
0	14

end0.0ms

sample9.1s

Algorithm

intervals

Results

3.8s	2968×	body	1280	valid
2.5s	2565×	body	640	valid
1.8s	8713×	body	80	valid
535.0ms	1185×	body	320	valid
175.0ms	594×	body	160	valid