Details

Time bar (total: 2.3m)

sample265.0ms

Algorithm
intervals
Results
108.0ms102×body1280valid
70.0ms78×body640valid
38.0ms255×body80valid
17.0ms32×body320valid
7.0ms21×body160valid

simplify204.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
203.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 0.5 (sin re)) (exp im))
0.0b
(* (exp im) (* 0.5 (sin re)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube
8×add-exp-log
7×pow1
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod
3×associate-/r* times-frac associate-*l* pow-prod-down
2×cbrt-undiv div-exp insert-posit16 add-log-exp
1×clear-num frac-2neg associate-*r* *-commutative div-inv associate-/l*
Counts
2 → 41
Calls
2 calls:
Slowest
19.0ms
(* (exp im) (* 0.5 (sin re)))
16.0ms
(/ (* 0.5 (sin re)) (exp im))

series128.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
70.0ms
(* (exp im) (* 0.5 (sin re)))
57.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify4.1s

Counts
50 → 47
Calls
50 calls:
Slowest
604.0ms
(* (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (* (exp im) (* 0.5 (sin re))))
601.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
378.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))))
289.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
281.0ms
(* (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (/ (* 0.5 (sin re)) (exp im)))

prune401.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 0.5 (sin re)) (exp im))
0.0b
(* (* 0.5 (sin re)) (exp im))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube
8×add-exp-log
7×pow1
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×prod-exp cbrt-unprod
3×associate-/r* times-frac associate-*r* pow-prod-down
2×cbrt-undiv div-exp insert-posit16 add-log-exp
1×clear-num frac-2neg associate-*l* *-commutative div-inv associate-/l*
Counts
2 → 41
Calls
2 calls:
Slowest
23.0ms
(* (* 0.5 (sin re)) (exp im))
19.0ms
(/ (* 0.5 (sin re)) (exp im))

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(* (* 0.5 (sin re)) (exp im))
47.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify4.5s

Counts
50 → 47
Calls
50 calls:
Slowest
662.0ms
(* (* (* (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im))) (* (* 0.5 (sin re)) (exp im)))
516.0ms
(* (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (exp im) (exp im)) (exp im)))
479.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (sin re) (sin re)) (sin re))) (* (* (exp im) (exp im)) (exp im)))
362.0ms
(* (* (/ (* 0.5 (sin re)) (exp im)) (/ (* 0.5 (sin re)) (exp im))) (/ (* 0.5 (sin re)) (exp im)))
291.0ms
(- (+ (* 0.5 re) (* 0.5 (* re im))) (* 0.08333333333333333 (pow re 3)))

prune412.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

20.5b
(cbrt (/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re)))))
0.4b
(* (/ (exp im) (sin re)) (/ (exp im) (sin re)))
0.2b
(/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re)))
0.2b
(/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re))))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
238×add-cbrt-cube
188×add-exp-log
173×times-frac
121×cbrt-undiv div-exp
83×add-sqr-sqrt
71×*-un-lft-identity add-cube-cbrt
68×prod-exp cbrt-unprod
25×cbrt-prod
19×associate-/l*
15×div-inv
14×associate-/r*
13×swap-sqr associate-*r* associate-*l*
11×pow1
10×associate-/r/
4×insert-posit16 add-log-exp unswap-sqr
3×frac-times associate-*l/ associate-*r/
2×clear-num frac-2neg
1×pow2 cbrt-div pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up associate-/l/
Counts
4 → 276
Calls
4 calls:
Slowest
50.0ms
(* (/ (exp im) (sin re)) (/ (exp im) (sin re)))
37.0ms
(cbrt (/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re)))))
32.0ms
(/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re)))
29.0ms
(/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(cbrt (/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re)))))
111.0ms
(/ (/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re))) (* (/ (exp im) (sin re)) (/ (exp im) (sin re))))
64.0ms
(* (/ (exp im) (sin re)) (/ (exp im) (sin re)))
54.0ms
(/ (* 0.5 (* 0.5 0.5)) (/ (exp im) (sin re)))

simplify2.0m

Counts
362 → 288
Calls
362 calls:
Slowest
1.8s
(/ (/ (* (* (* 0.5 (* 0.5 0.5)) (* 0.5 (* 0.5 0.5))) (* 0.5 (* 0.5 0.5))) (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re)))) (* (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))))
1.6s
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (* 0.5 0.5) (* 0.5 0.5)) (* 0.5 0.5))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))) (* (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))))
1.6s
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (* 0.5 0.5) 0.5) (* (* 0.5 0.5) 0.5))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))) (* (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))))
1.5s
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (* 0.5 0.5) 0.5) (* (* 0.5 0.5) 0.5))) (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re)))) (* (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re))) (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re)))))
1.5s
(/ (/ (* (* (* 0.5 0.5) 0.5) (* (* (* 0.5 0.5) (* 0.5 0.5)) (* 0.5 0.5))) (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re)))) (* (/ (* (* (exp im) (exp im)) (exp im)) (* (* (sin re) (sin re)) (sin re))) (* (* (/ (exp im) (sin re)) (/ (exp im) (sin re))) (/ (exp im) (sin re)))))

prune3.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.8s

Algorithm
intervals
Results
4.0s3071×body1280valid
1.8s2465×body640valid
1.3s8513×body80valid
1.1s1193×body320valid
262.0ms642×body160valid