Details

Time bar (total: 15.1s)

sample125.0ms

Algorithm
intervals
Results
46.0ms52×body1280valid
34.0ms225×body80valid
21.0ms37×body640valid
8.0ms19×body320valid
2.0ms8×body160valid

simplify7.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt 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
Calls
1 calls:
Slowest
9.0ms
(* (exp re) (sin im))

series69.0ms

Calls
1 calls:
Slowest
68.0ms
(* (exp re) (sin im))

simplify324.0ms

Calls
11 calls:
Slowest
173.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
111.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
7.0ms
(* (exp re) (sin im))
6.0ms
(+ re (log (sin im)))
5.0ms
(* (cbrt (exp re)) (cbrt (exp re)))

prune219.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l* sqrt-prod
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square pow1/2 *-commutative
Calls
4 calls:
Slowest
26.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
10.0ms
(* (sqrt (exp re)) (sin im))
1.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))

series148.0ms

Calls
4 calls:
Slowest
72.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
50.0ms
(* (sqrt (exp re)) (sin im))
13.0ms
(sqrt (exp re))
13.0ms
(sqrt (exp re))

simplify1.4s

Calls
43 calls:
Slowest
353.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
289.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
173.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
113.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
109.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune755.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
23×pow1
20×add-cbrt-cube add-exp-log
16×associate-*l*
15×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
13×associate-*r*
11×pow-prod-down
10×prod-exp cbrt-unprod
5×pow1/2
4×insert-posit16 add-log-exp
3×*-commutative
2×pow-prod-up
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod
Calls
4 calls:
Slowest
46.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
29.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
15.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
1.0ms
(sqrt (exp re))

series128.0ms

Calls
4 calls:
Slowest
59.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
42.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
13.0ms
(sqrt (exp re))
13.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify2.3s

Calls
69 calls:
Slowest
364.0ms
(* (* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))) (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))) (* (* (sin im) (sin im)) (sin im)))
350.0ms
(* (* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re)))) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re))))) (* (* (sin im) (sin im)) (sin im)))
203.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
173.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
117.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re)))) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sqrt (sqrt (exp re))))) (* (* (sin im) (sin im)) (sin im))))

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
0.0b
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
0.0b
(cbrt (exp re))
0.0b
(cbrt (exp re))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
12×associate-*l*
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
6×sqrt-prod
4×insert-posit16 add-log-exp
2×pow1/3 associate-*r* *-commutative
Calls
4 calls:
Slowest
47.0ms
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
14.0ms
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
1.0ms
(cbrt (exp re))
1.0ms
(cbrt (exp re))

series505.0ms

Calls
4 calls:
Slowest
138.0ms
(cbrt (exp re))
135.0ms
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
122.0ms
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
110.0ms
(cbrt (exp re))

simplify2.8s

Calls
45 calls:
Slowest
361.0ms
(* (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
340.0ms
(* (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re)))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
197.0ms
(+ (* 2/9 (* (pow re 2) (* (fabs (pow (exp re) 1/3)) im))) (+ (* 2/3 (* re (* (fabs (pow (exp re) 1/3)) im))) (* (fabs (pow (exp re) 1/3)) im)))
195.0ms
(* (* (* (fabs (cbrt (exp re))) (fabs (cbrt (exp re)))) (fabs (cbrt (exp re)))) (* (* (* (sqrt (cbrt (exp re))) (sqrt (cbrt (exp re)))) (sqrt (cbrt (exp re)))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))))
193.0ms
(* (* (* (fabs (cbrt (exp re))) (fabs (cbrt (exp re)))) (fabs (cbrt (exp re)))) (* (* (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))))

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes227.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.3s6931×body80valid
1.1s1480×body1280valid
671.0ms1276×body640valid
269.0ms625×body320valid
92.0ms302×body160valid