Details

sample338.0ms

Algorithm

intervals

Results

182.0ms	144×	body	1280	valid
61.0ms	108×	body	640	valid
22.0ms	62×	body	320	valid
22.0ms	152×	body	80	valid
7.0ms	31×	body	160	valid

simplify10.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
8	4841
7	2530
6	1227
5	512
4	186
3	84
2	39
1	18
0	10

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.2b	(- (exp (- im)) (exp im))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

134.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
47.0ms	(- (exp (- im)) (exp im))

series230.0ms

Counts

2 → 6

Calls

2 calls:

172.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
58.0ms	(- (exp (- im)) (exp im))

simplify7.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5026
3	3702
2	851
1	258
0	94

prune535.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
13×	`cbrt-unprod`
12×	`associate-l` `pow-prod-down`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--`

Counts

4 → 98

Calls

4 calls:

28.0ms	(* (pow im 5) 1/60)
41.0ms	(* im (* im im))
70.0ms	(* (* im (* im im)) -1/3)
860.0ms	(* (* 0.5 (sin re)) (- (* (* im (* im im)) -1/3) (+ im (+ im (* (pow im 5) 1/60)))))

series588.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow im 5) 1/60)
52.0ms	(* im (* im im))
61.0ms	(* (* im (* im im)) -1/3)
403.0ms	(* (* 0.5 (sin re)) (- (* (* im (* im im)) -1/3) (+ im (+ im (* (pow im 5) 1/60)))))

simplify3.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1544
1	443
0	174

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (* im (* im im)))
0.1b	(* im (* im im))
0.1b	(* 0.16666666666666666 (* (sin re) (* im (* im im))))
0.1b	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
34×	`add-cbrt-cube` `add-exp-log`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`pow-prod-up`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-plus` `cube-unmult` `pow-sqr` `flip-+`

Counts

4 → 95

Calls

4 calls:

99.0ms	(* (sin re) (* im (* im im)))
22.0ms	(* im (* im im))
238.0ms	(* 0.16666666666666666 (* (sin re) (* im (* im im))))
80.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

series1.0s

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (sin re) (* im (* im im)))
65.0ms	(* im (* im im))
221.0ms	(* 0.16666666666666666 (* (sin re) (* im (* im im))))
564.0ms	(* (sin re) (+ (* 0.008333333333333333 (pow im 5)) (* 1.0 im)))

simplify3.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1793
1	427
0	147

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize125.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite58.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

43.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))

series849.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
210.0ms	(cbrt (sin re))
210.0ms	(cbrt (sin re))
192.0ms	(cbrt (sin re))

simplify10.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5003
4	4861
3	1343
2	443
1	176
0	77

prune984.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify34.0ms

Iterations

Iter	Nodes
done	45
4	45
3	43
2	37
1	29
0	18

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.5s	4893×	body	1280	valid
2.5s	3681×	body	640	valid
774.0ms	1921×	body	320	valid
719.0ms	4617×	body	80	valid
686.0ms	886×	body	160	valid