Details

sample176.0ms

Algorithm

intervals

Results

101.0ms	192×	body	1280	valid
34.0ms	114×	body	640	valid
11.0ms	41×	body	320	valid
6.0ms	117×	body	80	valid
3.0ms	26×	body	160	valid

simplify75.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
8.0b	(- (exp (- 0.0 im)) (exp im))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

124.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
83.0ms	(- (exp (- 0.0 im)) (exp im))

series131.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
43.0ms	(- (exp (- 0.0 im)) (exp im))

simplify33.0ms

Counts: 46 → 46

prune132.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`pow1` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `unpow3` `sum-log` `distribute-rgt-neg-out`

Counts

4 → 97

Calls

4 calls:

9.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
12.0ms	(* 1/60 (pow im 5))
13.0ms	(* 1/3 (pow im 3))
120.0ms	(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
54.0ms	(* 1/60 (pow im 5))
38.0ms	(* 1/3 (pow im 3))
190.0ms	(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify80.0ms

Counts: 109 → 109

prune367.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

58.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.8s

Counts

4 → 12

Calls

4 calls:

741.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
690.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
677.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
680.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify52.0ms

Counts: 99 → 99

prune542.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
6.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.8s

Counts

4 → 12

Calls

4 calls:

720.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
699.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
682.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
707.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify93.0ms

Counts: 64 → 64

prune434.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes362.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.2s

Algorithm

intervals

Results

4.0s	5724×	body	1280	valid
1.5s	3540×	body	640	valid
736.0ms	1480×	body	320	valid
307.0ms	4408×	body	80	valid
94.0ms	722×	body	160	valid