Details

Time bar (total: 11.6s)

sample125.0ms

Algorithm
intervals
Results
39.0ms53×body1280valid
27.0ms14×body160valid
19.0ms42×body640valid
18.0ms201×body80valid
7.0ms22×body320valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
8.0ms
(* (exp re) (cos im))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite27.0ms

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×pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
Slowest
26.0ms
(* (exp re) (cos im))

series63.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
63.0ms
(* (exp re) (cos im))

simplify903.0ms

Counts
22 → 22
Calls
22 calls:
Slowest
439.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
233.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
73.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
18.0ms
(exp (* (exp re) (cos im)))
17.0ms
(+ re (log (cos im)))

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1
9×*-un-lft-identity add-cube-cbrt sqrt-prod
8×sqrt-pow1 add-cbrt-cube add-exp-log
6×exp-prod associate-*l*
3×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square pow1/2
1×associate-*r* *-commutative
Counts
3 → 56
Calls
3 calls:
Slowest
63.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
9.0ms
(sqrt (exp re))
4.0ms
(sqrt (exp re))

series81.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
51.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
16.0ms
(sqrt (exp re))
14.0ms
(sqrt (exp re))

simplify2.1s

Counts
66 → 65
Calls
66 calls:
Slowest
430.0ms
(* (* (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
287.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
261.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (cos im) (cos im)) (cos im))))
224.0ms
(exp (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
82.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune653.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

6.9b
(log (sqrt (exp re)))
0.0b
(sqrt (exp re))
0.0b
(sqrt (exp re))
0.0b
(* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt
12×sqrt-pow1 sqrt-prod
9×exp-prod add-cbrt-cube add-exp-log
6×log-prod associate-*l* log-pow
4×insert-posit16 add-log-exp
3×pow1/2 pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square
1×rem-log-exp associate-*r* *-commutative
Counts
4 → 77
Calls
4 calls:
Slowest
126.0ms
(* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))
6.0ms
(log (sqrt (exp re)))
5.0ms
(sqrt (exp re))
4.0ms
(sqrt (exp re))

series370.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(log (sqrt (exp re)))
66.0ms
(* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))
22.0ms
(sqrt (exp re))
19.0ms
(sqrt (exp re))

simplify2.4s

Counts
95 → 89
Calls
95 calls:
Slowest
404.0ms
(sqrt (log (sqrt (exp re))))
332.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (exp (log (sqrt (exp re)))) (exp (log (sqrt (exp re))))) (exp (log (sqrt (exp re))))) (* (* (cos im) (cos im)) (cos im))))
237.0ms
(exp (* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im))))
217.0ms
(* (* (* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im))) (* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))) (* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im))))
140.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (exp (log (sqrt (exp re)))) (cos im)) (* (exp (log (sqrt (exp re)))) (cos im))) (* (exp (log (sqrt (exp re)))) (cos im))))

prune941.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s1448×body1280valid
632.0ms1197×body640valid
621.0ms603×body320valid
582.0ms7048×body80valid
87.0ms302×body160valid