Details

sample370.0ms

Algorithm

intervals

Results

195.0ms	152×	body	1280	valid
102.0ms	138×	body	640	valid
27.0ms	61×	body	320	valid
19.0ms	146×	body	80	valid
8.0ms	27×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	2000
6	1311
5	555
4	206
3	88
2	39
1	18
0	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b	(- (exp (- im)) (exp im))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 76

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
40.0ms	(- (exp (- im)) (exp im))

series182.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
67.0ms	(- (exp (- im)) (exp im))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	2001
3	2001
2	1099
1	409
0	146

prune915.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/60 (pow im 5) (+ im im))
0.1b	(* im (* im im))
0.1b	(* (* 0.5 (sin re)) (- (* (* im (* im im)) -1/3) (fma 1/60 (pow im 5) (+ im im))))
0.1b	(* (* im (* im im)) -1/3)

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/`
1×	`pow2` `pow-plus` `flip3--` `cube-unmult` `pow-sqr` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma 1/60 (pow im 5) (+ im im))
22.0ms	(* im (* im im))
245.0ms	(* (* 0.5 (sin re)) (- (* (* im (* im im)) -1/3) (fma 1/60 (pow im 5) (+ im im))))
71.0ms	(* (* im (* im im)) -1/3)

series607.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(fma 1/60 (pow im 5) (+ im im))
60.0ms	(* im (* im im))
259.0ms	(* (* 0.5 (sin re)) (- (* (* im (* im im)) -1/3) (fma 1/60 (pow im 5) (+ im im))))
54.0ms	(* (* im (* im im)) -1/3)

simplify1.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	2001
3	2001
2	1440
1	436
0	178

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow im 5) 0.008333333333333333)
0.1b	(* (sin re) (* im (* im im)))
0.1b	(* im (* im im))
0.1b	(* (sin re) im)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
25×	`add-exp-log`
22×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
16×	`associate-l`
13×	`prod-exp`
11×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
10×	`pow-prod-down`
8×	`associate-r`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr`

Counts

4 → 100

Calls

4 calls:

8.0ms	(* (pow im 5) 0.008333333333333333)
59.0ms	(* (sin re) (* im (* im im)))
13.0ms	(* im (* im im))
17.0ms	(* (sin re) im)

series310.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (pow im 5) 0.008333333333333333)
103.0ms	(* (sin re) (* im (* im im)))
67.0ms	(* im (* im im))
44.0ms	(* (sin re) im)

simplify1.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
3	2001
2	1093
1	309
0	137

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt im) (cbrt im))
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt im) (cbrt im))
253.0ms	(cbrt im)
296.0ms	(cbrt im)
279.0ms	(cbrt im)

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	2004
4	2004
3	1110
2	364
1	141
0	67

prune1.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes602.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample12.8s

Algorithm

intervals

Results

6.9s	4756×	body	1280	valid
3.1s	3780×	body	640	valid
1.1s	1865×	body	320	valid
798.0ms	4425×	body	80	valid
413.0ms	932×	body	160	valid