Details

Time bar (total: 11.8s)

sample111.0ms

Algorithm
intervals
Results
41.0ms53×body1280valid
22.0ms201×body80valid
22.0ms42×body640valid
8.0ms22×body320valid
4.0ms14×body160valid

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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
11.0ms
(* (exp re) (cos im))

series81.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
81.0ms
(* (exp re) (cos im))

simplify888.0ms

Counts
24 → 24
Calls
24 calls:
Slowest
405.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (cos im) (cos im)) (cos im)))
226.0ms
(* (* (* (exp re) (cos im)) (* (exp re) (cos im))) (* (exp re) (cos im)))
72.0ms
(+ re (+ (* 1/2 (pow re 2)) 1))
23.0ms
(exp (* (exp re) (cos im)))
19.0ms
(* (exp re) (* (cbrt (cos im)) (cbrt (cos im))))

prune217.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite78.0ms

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×expm1-log1p-u pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2
1×associate-*r* *-commutative
Counts
3 → 62
Calls
3 calls:
Slowest
72.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
3.0ms
(sqrt (exp re))
2.0ms
(sqrt (exp re))

series74.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
45.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
15.0ms
(sqrt (exp re))
14.0ms
(sqrt (exp re))

simplify2.3s

Counts
72 → 71
Calls
72 calls:
Slowest
520.0ms
(* (* (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))) (* (sqrt (exp re)) (* (sqrt (exp re)) (cos im))))
357.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (cos im)) (* (sqrt (exp re)) (cos im))) (* (sqrt (exp re)) (cos im))))
298.0ms
(* (* (* (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))))
97.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune746.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

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)))

rewrite134.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
Slowest
125.0ms
(* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))
3.0ms
(log (sqrt (exp re)))
2.0ms
(sqrt (exp re))
2.0ms
(sqrt (exp re))

series310.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
227.0ms
(log (sqrt (exp re)))
53.0ms
(* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im)))
17.0ms
(sqrt (exp re))
13.0ms
(sqrt (exp re))

simplify2.2s

Counts
103 → 97
Calls
103 calls:
Slowest
359.0ms
(* (* (* (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))))
313.0ms
(* (* (* (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))))
192.0ms
(exp (* (sqrt (exp re)) (* (exp (log (sqrt (exp re)))) (cos im))))
121.0ms
(* (* (* (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))))
111.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes176.0ms

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
1.5s1448×body1280valid
704.0ms7048×body80valid
620.0ms1197×body640valid
205.0ms603×body320valid
98.0ms302×body160valid