Details

Time bar (total: 8.7s)

sample81.0ms

Algorithm
intervals
Results
25.0ms45×body1280valid
24.0ms38×body640valid
15.0ms206×body80valid
5.0ms23×body320valid
1.0ms9×body160valid

simplify4.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
4.0ms
(* (exp re) (cos im))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp re) (cos im))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
23.0ms
(* (exp re) (cos im))

series97.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
97.0ms
(* (exp re) (cos im))

simplify449.0ms

Counts
13 → 24
Calls
13 calls:
Slowest
322.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
74.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
7.0ms
(+ re (log (cos im)))
7.0ms
(* (exp re) (cos im))
6.0ms
(* (cbrt (exp re)) (cbrt (exp re)))

prune179.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
0.0b
(sqrt (exp re))
0.0b
(sqrt (exp re))
0.0b
(* (sqrt (exp re)) (cos im))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
12×associate-*l*
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
6×exp-prod
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
Slowest
56.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
15.0ms
(* (sqrt (exp re)) (cos im))
5.0ms
(sqrt (exp re))
2.0ms
(sqrt (exp re))

series137.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
54.0ms
(* (sqrt (exp re)) (cos im))
48.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
21.0ms
(sqrt (exp re))
13.0ms
(sqrt (exp re))

simplify1.6s

Counts
55 → 99
Calls
55 calls:
Slowest
377.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im)))
262.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
228.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
125.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))
82.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.9b
(log (cos im))
0.0b
(exp (+ re (log (cos im))))
0.0b
(+ re (log (cos im)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt add-cube-cbrt
6×pow1 log-prod add-log-exp
5×exp-prod
4×add-exp-log distribute-lft-out
3×expm1-log1p-u associate-+r+ fma-def add-cbrt-cube log-pow insert-posit16 log1p-expm1-u
2×sum-log rem-exp-log
1×+-commutative flip3-+ rem-log-exp exp-sum flip-+
Counts
3 → 55
Calls
3 calls:
Slowest
14.0ms
(exp (+ re (log (cos im))))
11.0ms
(+ re (log (cos im)))
2.0ms
(log (cos im))

series218.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
112.0ms
(log (cos im))
58.0ms
(+ re (log (cos im)))
48.0ms
(exp (+ re (log (cos im))))

simplify548.0ms

Counts
29 → 64
Calls
29 calls:
Slowest
206.0ms
(- (+ (* 1/2 (pow im 2)) (+ (* 1/12 (pow im 4)) (* 1/45 (pow im 6)))))
113.0ms
(exp (* (cbrt (+ re (log (cos im)))) (cbrt (+ re (log (cos im))))))
60.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
51.0ms
(- re (* 1/2 (pow im 2)))
11.0ms
(exp (+ (log (cos im)) re))

prune632.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes199.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.2s1561×body1280valid
1.1s6869×body80valid
574.0ms1280×body640valid
164.0ms566×body320valid
57.0ms304×body160valid