Details

Time bar (total: 20.5s)

sample117.0ms

Algorithm
intervals
Results
45.0ms52×body1280valid
27.0ms225×body80valid
21.0ms37×body640valid
7.0ms19×body320valid
2.0ms8×body160valid

simplify9.0ms

Calls
1 calls:
Slowest
8.0ms
(* (exp re) (sin im))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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
Calls
1 calls:
Slowest
17.0ms
(* (exp re) (sin im))

series47.0ms

Calls
1 calls:
Slowest
47.0ms
(* (exp re) (sin im))

simplify858.0ms

Calls
13 calls:
Slowest
620.0ms
(* (* (* (exp re) (exp re)) (exp re)) (* (* (sin im) (sin im)) (sin im)))
201.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
5.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
5.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
5.0ms
(* (sin im) (exp re))

prune211.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
12×associate-*l*
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
6×exp-prod
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Calls
4 calls:
Slowest
51.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
15.0ms
(* (sqrt (exp re)) (sin im))
2.0ms
(sqrt (exp re))
2.0ms
(sqrt (exp re))

series165.0ms

Calls
4 calls:
Slowest
87.0ms
(* (sqrt (exp re)) (sin im))
51.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
14.0ms
(sqrt (exp re))
13.0ms
(sqrt (exp re))

simplify1.8s

Calls
55 calls:
Slowest
337.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sin im)) (* (sqrt (exp re)) (sin im))) (* (sqrt (exp re)) (sin im))))
327.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im)))
297.0ms
(* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (* (sqrt (exp re)) (sqrt (exp re))) (sqrt (exp re))) (* (* (sin im) (sin im)) (sin im))))
183.0ms
(+ (* 1/2 (* (pow re 2) im)) (+ (* re im) im))
152.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))

prune901.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

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))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-pow1 sqrt-prod
59×add-sqr-sqrt
42×pow1
27×*-un-lft-identity add-cube-cbrt
21×exp-prod
20×add-cbrt-cube add-exp-log
17×pow1/2 pow-prod-down
16×associate-*l*
15×swap-sqr
13×associate-*r*
12×pow-prod-up
10×prod-exp cbrt-unprod unswap-sqr
8×pow-sqr
4×insert-posit16 add-log-exp
3×*-commutative
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod
Calls
4 calls:
Slowest
234.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
74.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
34.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
4.0ms
(sqrt (exp re))

series160.0ms

Calls
4 calls:
Slowest
72.0ms
(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im))
57.0ms
(* (sqrt (exp re)) (* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (sin im)))
18.0ms
(sqrt (exp re))
13.0ms
(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify3.8s

Calls
171 calls:
Slowest
287.0ms
(* (* (* (* (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)))
215.0ms
(* (* (* (* (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)))
183.0ms
(+ (* 1/8 (* (pow re 2) im)) (+ (* 1/2 (* re im)) im))
180.0ms
(* (* (* (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))))
179.0ms
(* (exp (* (cbrt re) (cbrt re))) (exp (* (cbrt re) (cbrt re))))

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

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))

rewrite177.0ms

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
133.0ms
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
40.0ms
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
2.0ms
(cbrt (exp re))
2.0ms
(cbrt (exp re))

series479.0ms

Calls
4 calls:
Slowest
135.0ms
(* (fabs (cbrt (exp re))) (* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im))))
129.0ms
(cbrt (exp re))
121.0ms
(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (sin im)))
94.0ms
(cbrt (exp re))

simplify4.1s

Calls
45 calls:
Slowest
516.0ms
(* (* (* (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))))
423.0ms
(* (* (fabs (pow (exp re) 1/3)) (sin im)) (pow (pow (exp re) 2) 1/3))
382.0ms
(* (* (* (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))))
380.0ms
(* (* (fabs (pow (exp re) 1/3)) (sin im)) (pow (pow (exp re) 2) 1/3))
296.0ms
(+ (* 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)))

prune1.2s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes246.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.6s1480×body1280valid
883.0ms6931×body80valid
766.0ms1276×body640valid
247.0ms625×body320valid
69.0ms302×body160valid