Details

Time bar (total: 37.8s)

sample208.0ms

Algorithm
intervals
Results
75.0ms88×body1280valid
48.0ms271×body80valid
45.0ms80×body640valid
17.0ms42×body320valid
4.0ms15×body160valid

simplify230.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
229.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b
(+ (exp (- im)) (exp im))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
4×associate-*r* add-log-exp
3×add-sqr-sqrt pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×flip3-+ associate-*r/ flip-+ insert-posit16 distribute-lft-out
1×distribute-rgt-in +-commutative sum-log distribute-lft-in associate-*l* *-commutative
Counts
2 → 37
Calls
2 calls:
Slowest
92.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
25.0ms
(+ (exp (- im)) (exp im))

series111.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
45.0ms
(+ (exp (- im)) (exp im))

simplify2.3s

Counts
22 → 43
Calls
22 calls:
Slowest
420.0ms
(* (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
334.0ms
(* (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))) (* (* (+ (exp (- im)) (exp im)) (+ (exp (- im)) (exp im))) (+ (exp (- im)) (exp im))))
221.0ms
(* 0.5 (* (+ (exp im) (exp (* -1 im))) (cos re)))
204.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
192.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

prune441.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp im) (* 0.5 (cos re)))
0.0b
(+ (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))
0.0b
(* (exp (- im)) (* 0.5 (cos re)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube
9×add-exp-log
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
3×insert-posit16
2×associate-*r* associate-*l/ *-commutative
1×neg-sub0 exp-neg +-commutative sum-log flip3-+ distribute-rgt-out exp-diff flip-+
Counts
3 → 53
Calls
3 calls:
Slowest
72.0ms
(+ (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))
59.0ms
(* (exp (- im)) (* 0.5 (cos re)))
43.0ms
(* (exp im) (* 0.5 (cos re)))

series255.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(+ (* (exp (- im)) (* 0.5 (cos re))) (* (exp im) (* 0.5 (cos re))))
76.0ms
(* (exp im) (* 0.5 (cos re)))
48.0ms
(* (exp (- im)) (* 0.5 (cos re)))

simplify4.0s

Counts
32 → 62
Calls
32 calls:
Slowest
664.0ms
(* (* (* (exp (- im)) (exp (- im))) (exp (- im))) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))
580.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re))))
566.0ms
(* (exp (* (exp (- im)) (* 0.5 (cos re)))) (exp (* (exp im) (* 0.5 (cos re)))))
489.0ms
(* 0.5 (* (exp (* -1 im)) (cos re)))
394.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re))))

prune626.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))
0.0b
(cbrt (exp im))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log
15×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×insert-posit16 add-log-exp
3×pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 65
Calls
4 calls:
Slowest
98.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))
3.0ms
(cbrt (exp im))
3.0ms
(cbrt (exp im))
3.0ms
(cbrt (exp im))

series417.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(cbrt (exp im))
129.0ms
(cbrt (exp im))
102.0ms
(cbrt (exp im))
49.0ms
(* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (* 0.5 (cos re))))

simplify3.7s

Counts
41 → 77
Calls
41 calls:
Slowest
488.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re)))))
404.0ms
(* (* (exp im) (exp im)) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))))
376.0ms
(* (* (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))
264.0ms
(* (* (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))))
210.0ms
(* (* (* (* (cbrt (exp im)) (cbrt (exp im))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (cbrt (exp im)) (cbrt (exp im)))) (* (exp im) (* (* (* 0.5 (cos re)) (* 0.5 (cos re))) (* 0.5 (cos re)))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im))))
0.0b
(* (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (cbrt (exp im)) (* 0.5 (cos re))))
0.0b
(cbrt (cbrt (exp im)))
0.0b
(cbrt (cbrt (exp im)))

rewrite471.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
65×pow1
60×add-exp-log
44×pow-prod-down
43×prod-exp cbrt-unprod
38×add-sqr-sqrt
29×add-cbrt-cube
20×*-un-lft-identity add-cube-cbrt
10×associate-*r* associate-*l*
9×swap-sqr unswap-sqr
8×pow1/3
4×insert-posit16 add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 132
Calls
4 calls:
Slowest
442.0ms
(* (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (cbrt (exp im)) (* 0.5 (cos re))))
23.0ms
(* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im))))
2.0ms
(cbrt (cbrt (exp im)))
2.0ms
(cbrt (cbrt (exp im)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(cbrt (cbrt (exp im)))
119.0ms
(cbrt (cbrt (exp im)))
115.0ms
(* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im))))
54.0ms
(* (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (cbrt (exp im)) (* 0.5 (cos re))))

simplify12.3s

Counts
128 → 144
Calls
128 calls:
Slowest
610.0ms
(* (* (exp im) (* (* (cbrt (exp im)) (cbrt (exp im))) (cbrt (exp im)))) (* (exp im) (* (* (* 0.5 0.5) 0.5) (* (* (cos re) (cos re)) (cos re)))))
557.0ms
(* (* (exp im) (* (* (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im)))) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im)))))) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))
546.0ms
(* (* (* (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im)))))) (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im)))))) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))
473.0ms
(* (* (exp im) (* (* (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im))))) (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im))))) (cbrt (exp im)))) (* (* (* (cbrt (exp im)) (* 0.5 (cos re))) (* (cbrt (exp im)) (* 0.5 (cos re)))) (* (cbrt (exp im)) (* 0.5 (cos re)))))
378.0ms
(* (* (cbrt (exp im)) (* (* (cbrt (cbrt (exp im))) (cbrt (cbrt (exp im)))) (cbrt (cbrt (exp im))))) (* (cbrt (exp im)) (* 0.5 (cos re))))

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample8.4s

Algorithm
intervals
Results
4.0s2986×body1280valid
1.8s2423×body640valid
1.4s8733×body80valid
691.0ms1255×body320valid
168.0ms602×body160valid