Details

sample433.0ms

Algorithm

intervals

Results

223.0ms	175×	body	1280	valid
84.0ms	105×	body	640	valid
78.0ms	60×	body	320	valid
19.0ms	123×	body	80	valid
6.0ms	18×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
7	2005
6	1306
5	567
4	242
3	101
2	46
1	22
0	11

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.9b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
4.5b	(- (exp (- 0 im)) (exp im))

rewrite181.0ms

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:

118.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
62.0ms	(- (exp (- 0 im)) (exp im))

series202.0ms

Counts

2 → 6

Calls

2 calls:

148.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
54.0ms	(- (exp (- 0 im)) (exp im))

simplify1.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	2001
3	2001
2	937
1	283
0	105

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-r`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow2` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `flip3--` `pow3` `pow-exp` `flip--`

Counts

4 → 102

Calls

4 calls:

13.0ms	(* 1/60 (pow im 5))
28.0ms	(* (* im im) im)
40.0ms	(* -1/3 (* (* im im) im))
255.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (* (* im im) im)) (+ (* 1/60 (pow im 5)) (+ im im))))

series417.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 1/60 (pow im 5))
53.0ms	(* (* im im) im)
61.0ms	(* -1/3 (* (* im im) im))
238.0ms	(* (* 0.5 (cos re)) (- (* -1/3 (* (* im im) im)) (+ (* 1/60 (pow im 5)) (+ im im))))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	2004
3	2004
2	1664
1	473
0	175

prune660.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

37×	`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`
6×	`pow-plus` `pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

4 → 96

Calls

4 calls:

16.0ms	(* (pow im 5) 0.008333333333333333)
82.0ms	(* (* (* im im) im) 0.16666666666666666)
28.0ms	(* (* im im) im)
39.0ms	(* (* im 1.0) (cos re))

series268.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (pow im 5) 0.008333333333333333)
54.0ms	(* (* (* im im) im) 0.16666666666666666)
55.0ms	(* (* im im) im)
64.0ms	(* (* im 1.0) (cos re))

simplify1.3s

Counts

108 → 108

Iterations

Iter	Nodes
done	2034
3	2034
2	959
1	332
0	142

prune600.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos re)) (cbrt (cos re)))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos re))
0.3b	(cbrt (cos 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:

10.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms	(cbrt (cos re))
1.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))

series697.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
180.0ms	(cbrt (cos re))
140.0ms	(cbrt (cos re))
140.0ms	(cbrt (cos re))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	2004
4	2004
3	1190
2	353
1	145
0	66

prune619.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes637.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	37
2	37
1	29
0	18

end0.0ms

sample13.5s

Algorithm

intervals

Results

7.5s	5732×	body	1280	valid
2.9s	3557×	body	640	valid
1.6s	4389×	body	80	valid
878.0ms	1523×	body	320	valid
207.0ms	690×	body	160	valid