Details

Time bar (total: 17.0s)

sample75.0ms

Algorithm
intervals
Results
28.0ms48×body1280valid
17.0ms217×body80valid
14.0ms38×body640valid
4.0ms18×body320valid
1.0msbody160valid

simplify5.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-cube-cbrt
add-exp-log
pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
Slowest
12.0ms
(* (exp re) (sin im))

series42.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
41.0ms
(* (exp re) (sin im))

simplify1.3s

Counts
22 → 22

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
0.0b
(sqrt (sin im))
0.0b
(sqrt (sin im))
0.0b
(* (sqrt (exp re)) (sqrt (sin im)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
65×pow1
38×pow-prod-down
20×add-sqr-sqrt sqrt-pow1 pow1/2
18×add-cbrt-cube add-exp-log
16×sqrt-prod
10×*-un-lft-identity add-cube-cbrt
prod-exp cbrt-unprod
pow-prod-up
associate-*r* associate-*l*
sqrt-unprod pow-sqr
insert-posit16 add-log-exp unswap-sqr
rem-sqrt-square pow-plus *-commutative
pow2 rem-square-sqrt swap-sqr
Counts
4 → 104
Calls
4 calls:
Slowest
89.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
28.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
3.0ms
(sqrt (sin im))
3.0ms
(sqrt (sin im))

series196.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(* (sqrt (exp re)) (sqrt (sin im)))
59.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (sqrt (exp re)) (sqrt (sin im))))
26.0ms
(sqrt (sin im))
22.0ms
(sqrt (sin im))

simplify1.0s

Counts
116 → 116

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin im))
0.6b
(cbrt (sin im))
0.1b
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im)))))
0.1b
(* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-cbrt-cube add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
10×associate-*r*
cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
sqrt-prod
insert-posit16 add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 78
Calls
4 calls:
Slowest
178.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im)))))
51.0ms
(* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im))))
2.0ms
(cbrt (sin im))
1.0ms
(cbrt (sin im))

series498.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
132.0ms
(* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im))))
132.0ms
(cbrt (sin im))
129.0ms
(cbrt (sin im))
105.0ms
(* (* (sqrt (exp re)) (sqrt (sin im))) (* (* (sqrt (exp re)) (fabs (cbrt (sin im)))) (sqrt (cbrt (sin im)))))

simplify3.8s

Counts
90 → 90

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

7.2b
(+ (* (* (* re im) re) 1/2) (+ (* re im) im))
0.1b
(* (* re im) re)
0.0b
(+ (* re im) im)
0.0b
(* (* (* re im) re) 1/2)

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
11×add-log-exp
pow-prod-down prod-exp cbrt-unprod
*-un-lft-identity
add-sqr-sqrt associate-*r* add-cube-cbrt
sum-log insert-posit16
+-commutative flip3-+ associate-*l* *-commutative flip-+
associate-+r+ distribute-lft1-in distribute-rgt-out
Counts
4 → 69
Calls
4 calls:
Slowest
83.0ms
(+ (* (* (* re im) re) 1/2) (+ (* re im) im))
74.0ms
(* (* (* re im) re) 1/2)
14.0ms
(* (* re im) re)
6.0ms
(+ (* re im) im)

series132.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
47.0ms
(* (* (* re im) re) 1/2)
29.0ms
(+ (* (* (* re im) re) 1/2) (+ (* re im) im))
29.0ms
(+ (* re im) im)
26.0ms
(* (* re im) re)

simplify2.3s

Counts
81 → 81

prune593.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes170.0ms

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
1.2s1493×body1280valid
1.2s7009×body80valid
694.0ms1248×body640valid
262.0ms602×body320valid
67.0ms314×body160valid