Details

sample304.0ms

Algorithm

intervals

Results

185.0ms	192×	body	1280	valid
58.0ms	117×	body	640	valid
17.0ms	47×	body	320	valid
16.0ms	155×	body	80	valid
6.0ms	30×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
9	2301
8	1767
7	1494
6	1095
5	500
4	207
3	101
2	46
1	22
0	11

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
5.9b	(- (exp (- 0 im)) (exp im))

rewrite164.0ms

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:

113.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
50.0ms	(- (exp (- 0 im)) (exp im))

series177.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(* (* 0.5 (cos re)) (- (exp (- 0 im)) (exp im)))
66.0ms	(- (exp (- 0 im)) (exp im))

simplify1.4s

Counts

48 → 48

Iterations

Iter	Nodes
3	3896
2	866
1	276
0	105

prune521.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

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

rewrite379.0ms

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` `associate-*r/` `pow-sqr` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (pow im 5) -1/60)
29.0ms	(* (* im im) im)
44.0ms	(* (* (* im im) im) -1/3)
287.0ms	(* (* 0.5 (cos re)) (+ (* (* (* im im) im) -1/3) (- (* (pow im 5) -1/60) (+ im im))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* (pow im 5) -1/60)
44.0ms	(* (* im im) im)
49.0ms	(* (* (* im im) im) -1/3)
207.0ms	(* (* 0.5 (cos re)) (+ (* (* (* im im) im) -1/3) (- (* (pow im 5) -1/60) (+ im im))))

simplify7.6s

Counts

112 → 112

Iterations

Iter	Nodes
3	9309
2	1822
1	464
0	175

prune963.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
42×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
24×	`pow-plus` `pow-sqr`
20×	`prod-exp` `cbrt-unprod`
15×	`pow2`
10×	`associate-r`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-l/` `associate-r/` `unswap-sqr`
1×	`flip3--` `swap-sqr` `pow3` `flip--`

Counts

4 → 136

Calls

4 calls:

14.0ms	(* (* im im) im)
1.3s	(* (* 0.5 (- (* (* im (* (* im im) (* im im))) -1/60) (+ im im))) (cos re))
24.0ms	(* (* im im) (* im im))
94.0ms	(* (* (* im im) im) -1/3)

series332.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* im im) im)
116.0ms	(* (* 0.5 (- (* (* im (* (* im im) (* im im))) -1/60) (+ im im))) (cos re))
68.0ms	(* (* im im) (* im im))
84.0ms	(* (* (* im im) im) -1/3)

simplify5.0s

Counts

148 → 148

Iterations

Iter	Nodes
3	6927
2	1376
1	421
0	152

prune798.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize85.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

19.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
2.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))
2.0ms	(cbrt (cos re))

series683.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos re)) (cbrt (cos re)))
140.0ms	(cbrt (cos re))
161.0ms	(cbrt (cos re))
144.0ms	(cbrt (cos re))

simplify1.6s

Counts

89 → 89

Iterations

Iter	Nodes
4	3981
3	986
2	331
1	139
0	66

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes604.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	28
1	28
0	19

end0.0ms

sample12.4s

Algorithm

intervals

Results

7.3s	5748×	body	1280	valid
2.9s	3652×	body	640	valid
786.0ms	1414×	body	320	valid
770.0ms	4469×	body	80	valid
208.0ms	652×	body	160	valid