Details

sample202.0ms

Algorithm

intervals

Results

73.0ms	100×	body	1280	valid
31.0ms	71×	body	640	valid
30.0ms	297×	body	80	valid
23.0ms	30×	body	160	valid
13.0ms	48×	body	320	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	797
4	204
3	125
2	63
1	26
0	11

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.2b	(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

rewrite298.0ms

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-+` `log1p-expm1-u` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 53

Calls

2 calls:

95.0ms	(+ (exp (- 0.0 im)) (exp im))
198.0ms	(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (exp (- 0.0 im)) (exp im))
119.0ms	(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

simplify997.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	1618
1	292
0	97

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.2b	(sqrt (+ (exp (- 0.0 im)) (exp im)))
0.4b	(* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re))
0.5b	(* (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube` `sqrt-div` `associate-*l/` `add-exp-log`
15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`sqrt-prod`
10×	`associate-r`
9×	`flip3-+` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-r/` `-commutative` `hypot-def`

Counts

4 → 95

Calls

4 calls:

92.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
102.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
238.0ms	(* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re))
929.0ms	(* (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
66.0ms	(sqrt (+ (exp (- 0.0 im)) (exp im)))
145.0ms	(* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re))
91.0ms	(* (* (* (sqrt (+ (exp (- 0.0 im)) (exp im))) 0.5) (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify1.2s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2291
1	431
0	166

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/12 (pow im 4) 2)
0.0b	(fma im im (fma 1/12 (pow im 4) 2))
0.0b	(* (* (sin re) 0.5) (fma im im (fma 1/12 (pow im 4) 2)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `fma-udef`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma 1/12 (pow im 4) 2)
1.0ms	(fma im im (fma 1/12 (pow im 4) 2))
41.0ms	(* (* (sin re) 0.5) (fma im im (fma 1/12 (pow im 4) 2)))

series374.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(fma 1/12 (pow im 4) 2)
61.0ms	(fma im im (fma 1/12 (pow im 4) 2))
181.0ms	(* (* (sin re) 0.5) (fma im im (fma 1/12 (pow im 4) 2)))

simplify917.0ms

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
2	1250
1	211
0	86

prune399.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow im 4) 1/12 2)
0.0b	(* (* (sin re) 0.5) (expm1 (log1p (fma im im (fma (pow im 4) 1/12 2)))))
0.0b	(expm1 (log1p (fma im im (fma (pow im 4) 1/12 2))))
1.0b	(log1p (fma im im (fma (pow im 4) 1/12 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`log1p-udef` `expm1-log1p` `associate-l` `log1p-expm1` `*-commutative` `fma-udef` `expm1-udef`

Counts

4 → 52

Calls

4 calls:

0.0ms	(fma (pow im 4) 1/12 2)
18.0ms	(* (* (sin re) 0.5) (expm1 (log1p (fma im im (fma (pow im 4) 1/12 2)))))
0.0ms	(expm1 (log1p (fma im im (fma (pow im 4) 1/12 2))))
1.0ms	(log1p (fma im im (fma (pow im 4) 1/12 2)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(fma (pow im 4) 1/12 2)
298.0ms	(* (* (sin re) 0.5) (expm1 (log1p (fma im im (fma (pow im 4) 1/12 2)))))
204.0ms	(expm1 (log1p (fma im im (fma (pow im 4) 1/12 2))))
114.0ms	(log1p (fma im im (fma (pow im 4) 1/12 2)))

simplify788.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
2	1452
1	310
0	130

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes304.0ms

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

sample7.1s

Algorithm

intervals

Results

2.4s	2890×	body	1280	valid
1.3s	2496×	body	640	valid
1.1s	8553×	body	80	valid
998.0ms	601×	body	160	valid
569.0ms	1231×	body	320	valid