Details

Time bar (total: 15.6s)

sample86.0ms

Algorithm
intervals
Results
33.0ms52×body1280valid
20.0ms225×body80valid
16.0ms37×body640valid
5.0ms19×body320valid
2.0ms8×body160valid

simplify4.0ms

Calls
1 calls:
Slowest
4.0ms
(* (exp re) (sin im))

prune18.0ms

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) (sin im))

rewrite7.0ms

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×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
Calls
1 calls:
Slowest
6.0ms
(* (exp re) (sin im))

series68.0ms

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

simplify362.0ms

Calls
11 calls:
Slowest
182.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
146.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
7.0ms
(+ re (log (sin im)))
6.0ms
(* (exp re) (sin im))
4.0ms
(* (sin im) (exp re))

prune160.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite25.0ms

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×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
Calls
4 calls:
Slowest
17.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
5.0ms
(* (sqrt (exp re)) (sin im))
1.0ms
(sqrt (exp re))
1.0ms
(sqrt (exp re))

series176.0ms

Calls
4 calls:
Slowest
81.0ms
(* (sqrt (exp re)) (sin im))
51.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
22.0ms
(sqrt (exp re))
22.0ms
(sqrt (exp re))

simplify1.7s

Calls
43 calls:
Slowest
395.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
250.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
239.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
198.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
121.0ms
(+ (* 1/2 re) (+ (* 1/8 (pow re 2)) 1))

prune850.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

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))

rewrite77.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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
35.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
22.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
18.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
1.0ms
(sqrt (exp re))

series188.0ms

Calls
4 calls:
Slowest
76.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
63.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
25.0ms
(sqrt (exp re))
23.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify2.5s

Calls
69 calls:
Slowest
393.0ms
(* (* (* (* (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)))
318.0ms
(* (* (* (* (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)))
222.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
215.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
151.0ms
(* (* (* (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))))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

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))

rewrite47.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 associate-*r* *-commutative
Calls
4 calls:
Slowest
27.0ms
(* (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))

series516.0ms

Calls
4 calls:
Slowest
171.0ms
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
130.0ms
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
124.0ms
(cbrt (exp re))
90.0ms
(cbrt (exp re))

simplify2.8s

Calls
45 calls:
Slowest
367.0ms
(* (* (* (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))))
342.0ms
(* (* (* (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))))
267.0ms
(+ (* 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)))
174.0ms
(* (* (* (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)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im)))))
164.0ms
(* (* (* (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)))))

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.3s6931×body80valid
1.2s1480×body1280valid
714.0ms1276×body640valid
195.0ms625×body320valid
63.0ms302×body160valid