Details

sample369.0ms

Algorithm

intervals

Results

178.0ms	176×	body	1280	valid
73.0ms	119×	body	640	valid
52.0ms	126×	body	80	valid
24.0ms	58×	body	320	valid
22.0ms	29×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
9	2280
8	1941
7	1597
6	1196
5	528
4	186
3	84
2	39
1	18
0	10

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.1b	(- (exp (- im)) (exp im))

rewrite83.0ms

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:

67.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
16.0ms	(- (exp (- im)) (exp im))

series201.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
54.0ms	(- (exp (- im)) (exp im))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
3	3408
2	823
1	258
0	94

prune578.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* -1/60 (pow im 5))
0.1b	(* im (* im im))
0.1b	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))
0.2b	(* -1/3 (* im (* im im)))

rewrite170.0ms

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-r` `pow-prod-down`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 96

Calls

4 calls:

16.0ms	(* -1/60 (pow im 5))
28.0ms	(* im (* im im))
59.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))
64.0ms	(* -1/3 (* im (* im im)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* -1/60 (pow im 5))
55.0ms	(* im (* im im))
257.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))
62.0ms	(* -1/3 (* im (* im im)))

simplify5.3s

Counts

108 → 108

Iterations

Iter	Nodes
3	10144
2	1782
1	468
0	174

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* im im) im)
0.1b	(* (* im im) im)
0.1b	(* (* im im) (* (* im im) im))
0.1b	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* im im) (* (* im im) im)))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

166×	`pow1`
81×	`pow-prod-up`
45×	`pow-plus`
37×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`pow2` `pow-sqr`
12×	`add-sqr-sqrt`
10×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow3`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 146

Calls

4 calls:

15.0ms	(* (* im im) im)
26.0ms	(* (* im im) im)
90.0ms	(* (* im im) (* (* im im) im))
47.0ms	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* im im) (* (* im im) im)))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* im im) im)
54.0ms	(* (* im im) im)
62.0ms	(* (* im im) (* (* im im) im))
399.0ms	(* (sin re) (+ (* 1.0 im) (* 0.008333333333333333 (* (* im im) (* (* im im) im)))))

simplify2.6s

Counts

158 → 158

Iterations

Iter	Nodes
3	5484
2	1164
1	377
0	123

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite16.0ms

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:

11.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series982.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
182.0ms	(cbrt (sin re))
532.0ms	(cbrt (sin re))
120.0ms	(cbrt (sin re))

simplify2.6s

Counts

89 → 89

Iterations

Iter	Nodes
4	4199
3	1337
2	426
1	174
0	77

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes479.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify16.0ms

Iterations

Iter	Nodes
6	74
5	74
4	68
3	51
2	42
1	29
0	17

end0.0ms

sample12.6s

Algorithm

intervals

Results

6.7s	4784×	body	1280	valid
3.0s	3855×	body	640	valid
1.4s	1887×	body	320	valid
737.0ms	4499×	body	80	valid
319.0ms	933×	body	160	valid