Details

Time bar (total: 21.4s)

sample108.0ms

Algorithm
intervals
Results
46.0ms58×body1280valid
26.0ms231×body80valid
19.0ms35×body640valid
5.0ms12×body320valid
2.0ms7×body160valid

simplify4.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×add-exp-log
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
2×prod-exp
1×pow-prod-down *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Calls
1 calls:
Slowest
39.0ms
(* (exp re) (sin im))

series74.0ms

Calls
1 calls:
Slowest
74.0ms
(* (exp re) (sin im))

simplify583.0ms

Calls
14 calls:
Slowest
325.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
179.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
14.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
10.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
9.0ms
(+ (log (exp re)) (log (sin im)))

prune169.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
22×associate-*r* sqrt-prod
18×associate-*l*
17×*-un-lft-identity add-cube-cbrt
14×unswap-sqr
13×pow1
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
6×exp-prod
4×pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
3×*-commutative
2×rem-sqrt-square pow1/2
Calls
4 calls:
Slowest
68.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
27.0ms
(* (sqrt (exp re)) (sin im))
4.0ms
(sqrt (exp re))
4.0ms
(sqrt (exp re))

series172.0ms

Calls
4 calls:
Slowest
72.0ms
(* (sqrt (exp re)) (sin im))
68.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
19.0ms
(sqrt (exp re))
13.0ms
(sqrt (exp re))

simplify2.0s

Calls
82 calls:
Slowest
394.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
277.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
262.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
170.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
136.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (exp re) (sin im)))
0.5b
(cbrt (* (exp re) (sin im)))
0.5b
(cbrt (* (exp re) (sin im)))
0.3b
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
67×add-sqr-sqrt
38×associate-*l*
36×associate-*r*
33×*-un-lft-identity
29×add-cube-cbrt
22×unswap-sqr
17×swap-sqr
11×pow1
9×pow1/3
8×add-cbrt-cube *-commutative
6×add-exp-log
4×cbrt-unprod insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Calls
4 calls:
Slowest
55.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
18.0ms
(cbrt (* (exp re) (sin im)))
17.0ms
(cbrt (* (exp re) (sin im)))
10.0ms
(cbrt (* (exp re) (sin im)))

series399.0ms

Calls
4 calls:
Slowest
118.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
106.0ms
(cbrt (* (exp re) (sin im)))
88.0ms
(cbrt (* (exp re) (sin im)))
87.0ms
(cbrt (* (exp re) (sin im)))

simplify3.9s

Calls
145 calls:
Slowest
309.0ms
(pow (* (pow (sin im) 2) (pow (exp re) 2)) 1/3)
294.0ms
(pow (* (pow (sin im) 2) (pow (exp re) 2)) 1/3)
272.0ms
(+ (* 1/3 (* re (pow im 1/3))) (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow im 1/3)))))
271.0ms
(* (* (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))) (cbrt (* (exp re) (sin im)))) (* (exp re) (sin im)))
253.0ms
(+ (* 1/3 (* re (pow im 1/3))) (+ (pow im 1/3) (* 1/18 (* (pow re 2) (pow im 1/3)))))

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (exp re) (sin im)))
0.5b
(cbrt (* (exp re) (sin im)))
0.5b
(cbrt (* (sqrt (exp re)) (sin im)))
0.3b
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
104×cbrt-prod
70×add-sqr-sqrt
41×associate-*l*
36×associate-*r*
34×*-un-lft-identity
30×add-cube-cbrt
23×unswap-sqr
17×swap-sqr
11×pow1
9×pow1/3
8×add-cbrt-cube *-commutative
6×add-exp-log
4×sqrt-prod cbrt-unprod insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp
Calls
4 calls:
Slowest
68.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
15.0ms
(cbrt (* (exp re) (sin im)))
11.0ms
(cbrt (* (sqrt (exp re)) (sin im)))
9.0ms
(cbrt (* (exp re) (sin im)))

series441.0ms

Calls
4 calls:
Slowest
130.0ms
(cbrt (* (sqrt (exp re)) (sin im)))
125.0ms
(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
104.0ms
(cbrt (* (exp re) (sin im)))
82.0ms
(cbrt (* (exp re) (sin im)))

simplify4.3s

Calls
149 calls:
Slowest
347.0ms
(* (pow (sin im) 1/3) (exp (* 1/6 re)))
330.0ms
(* (pow (sin im) 1/3) (exp (* 1/6 re)))
297.0ms
(pow (* (pow (sin im) 2) (pow (exp re) 2)) 1/3)
260.0ms
(+ (* 2/9 (* (pow re 2) (pow (pow im 2) 1/3))) (+ (pow im 2/3) (* 2/3 (* re (pow (pow im 2) 1/3)))))
247.0ms
(* (* (* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im)))) (cbrt (* (exp re) (sin im)))) (* (exp re) (sin im)))

prune2.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.7s1563×body1280valid
665.0ms6919×body80valid
601.0ms1231×body640valid
341.0ms591×body320valid
147.0ms306×body160valid