Details

Time bar (total: 6.4s)

sample95.0ms

Algorithm
intervals
Results
38.0ms64×body1280valid
21.0ms53×body640valid
17.0ms204×body80valid
5.0ms17×body320valid
2.0ms13×body160valid

simplify7.0ms

Calls
1 calls:
Slowest
7.0ms
(* (exp re) (cos im))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
add-exp-log
expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
9.0ms
(* (exp re) (cos im))

series41.0ms

Calls
1 calls:
Slowest
41.0ms
(* (exp re) (cos im))

simplify190.0ms

Calls
11 calls:
Slowest
104.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
61.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
3.0ms
(* (exp re) (cos im))
3.0ms
(* (cos im) (exp re))
3.0ms
(* (cos im) (exp re))

prune178.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.3b
(cbrt (cos im))
0.3b
(* (cbrt (cos im)) (cbrt (cos im)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
pow1/3
associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-prod-down pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms
(cbrt (cos im))
1.0ms
(cbrt (cos im))
1.0ms
(cbrt (cos im))

series783.0ms

Calls
4 calls:
Slowest
256.0ms
(* (cbrt (cos im)) (cbrt (cos im)))
182.0ms
(cbrt (cos im))
176.0ms
(cbrt (cos im))
169.0ms
(cbrt (cos im))

simplify806.0ms

Calls
41 calls:
Slowest
170.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
168.0ms
(- 1 (+ (* 1/3 (pow im 2)) (* 1/405 (pow im 6))))
162.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
153.0ms
(- 1 (+ (* 1/6 (pow im 2)) (* 1/72 (pow im 4))))
10.0ms
(pow (pow (cos im) 2) 1/3)

prune862.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.1s1497×body1280valid
1.1s6917×body80valid
624.0ms1277×body640valid
205.0ms631×body320valid
60.0ms323×body160valid