Details

sample325.0ms

Algorithm

intervals

Results

153.0ms	156×	body	1280	valid
103.0ms	132×	body	640	valid
24.0ms	58×	body	320	valid
19.0ms	141×	body	80	valid
6.0ms	23×	body	160	valid

simplify3.4s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 40.7b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
4.5b	(- (exp (- im)) (exp im))

rewrite82.0ms

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:

66.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
15.0ms	(- (exp (- im)) (exp im))

series180.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
68.0ms	(- (exp (- im)) (exp im))

simplify1.5s

Counts

48 → 48

Iterations

Iter	Nodes
3	3408
2	823
1	258
0	94

prune557.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

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:

28.0ms	(* im (* im im))
16.0ms	(* -1/60 (pow im 5))
69.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))
33.0ms	(* -1/3 (* im (* im im)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* im (* im im))
70.0ms	(* -1/60 (pow im 5))
216.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))
50.0ms	(* -1/3 (* im (* im im)))

simplify5.1s

Counts

108 → 108

Iterations

Iter	Nodes
3	10242
2	1774
1	470
0	174

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite699.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
75×	`pow-prod-up`
41×	`add-cbrt-cube` `add-exp-log`
39×	`pow-plus`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`pow2` `pow-sqr`
11×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
5×	`pow3`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 139

Calls

4 calls:

29.0ms	(* (* im im) im)
67.0ms	(* (sin re) (* (* im im) im))
50.0ms	(* (* im im) (* (* im im) im))
547.0ms	(* (sin re) (+ (* 0.008333333333333333 (* (* im im) (* (* im im) im))) (* 1.0 im)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* im im) im)
104.0ms	(* (sin re) (* (* im im) im))
47.0ms	(* (* im im) (* (* im im) im))
298.0ms	(* (sin re) (+ (* 0.008333333333333333 (* (* im im) (* (* im im) im))) (* 1.0 im)))

simplify2.9s

Counts

151 → 151

Iterations

Iter	Nodes
3	6698
2	1468
1	453
0	147

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

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))

rewrite15.0ms

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))

series568.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
153.0ms	(cbrt (sin re))
109.0ms	(cbrt (sin re))
119.0ms	(cbrt (sin re))

simplify2.3s

Counts

89 → 89

Iterations

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

prune1.3s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes400.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify21.0ms

Iterations

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

end0.0ms

sample12.3s

Algorithm

intervals

Results

6.4s	4828×	body	1280	valid
2.8s	3683×	body	640	valid
1.2s	1955×	body	320	valid
775.0ms	4511×	body	80	valid
683.0ms	897×	body	160	valid