Details

sample139.0ms

Algorithm

intervals

Results

71.0ms	108×	body	1280	valid
22.0ms	88×	body	640	valid
15.0ms	267×	body	80	valid
7.0ms	37×	body	320	valid
4.0ms	27×	body	160	valid

simplify65.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

19.0ms

(+ (exp (- im)) (exp im))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ (exp (- im)) (exp im))

simplify104.0ms

Counts: 15 → 15

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.0b	(* (* (/ 1.0 2.0) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.1b	(* 1/12 (pow im 4))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`associate-r`
8×	`pow1` `prod-exp` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-unprod`
4×	`unpow-prod-down` `associate-l` `associate-*l/`
3×	`flip3-+` `pow-prod-down` `sum-log` `flip-+` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `div-exp` `pow-exp`

Counts

3 → 65

Calls

3 calls:

39.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
140.0ms	(* (* (/ 1.0 2.0) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
13.0ms	(* 1/12 (pow im 4))

series217.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
132.0ms	(* (* (/ 1.0 2.0) (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
44.0ms	(* 1/12 (pow im 4))

simplify53.0ms

Counts: 74 → 74

prune193.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ 1.0 2.0) (cos re)) (/ (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im))))
0.0b	(pow (exp -1) (* 2 im))
8.1b	(- (exp (- im)) (exp im))
8.4b	(+ (- (exp (+ im im))) (pow (exp -1) (* 2 im)))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
31×	`associate-r`
29×	`add-sqr-sqrt`
25×	`add-exp-log` `times-frac` `add-cbrt-cube`
17×	`add-cube-cbrt`
12×	`distribute-lft-out`
10×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
6×	`distribute-rgt-neg-in` `distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow-pow`
3×	`unpow-prod-down` `exp-prod` `pow-prod-down` `associate-*l/`
2×	`flip3--` `sum-log` `associate-/r/` `flip--`
1×	`+-commutative` `neg-sub0` `frac-times` `pow-to-exp` `associate-+l-` `sub-neg` `pow-unpow` `flip3-+` `diff-log` `associate-r/` `associate-l` `neg-log` `pow-exp` `-commutative` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 104

Calls

4 calls:

353.0ms	(* (* (/ 1.0 2.0) (cos re)) (/ (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im))))
8.0ms	(pow (exp -1) (* 2 im))
37.0ms	(- (exp (- im)) (exp im))
114.0ms	(+ (- (exp (+ im im))) (pow (exp -1) (* 2 im)))

series459.0ms

Counts

4 → 12

Calls

4 calls:

288.0ms	(* (* (/ 1.0 2.0) (cos re)) (/ (+ (- (exp (+ im im))) (pow (exp -1) (* 2 im))) (- (exp (- im)) (exp im))))
37.0ms	(pow (exp -1) (* 2 im))
41.0ms	(- (exp (- im)) (exp im))
92.0ms	(+ (- (exp (+ im im))) (pow (exp -1) (* 2 im)))

simplify79.0ms

Counts: 116 → 116

prune502.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify85.0ms

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.1s	2946×	body	1280	valid
1.4s	8506×	body	80	valid
991.0ms	2497×	body	640	valid
343.0ms	1176×	body	320	valid
128.0ms	597×	body	160	valid