Details

Time bar (total: 1.3m)

sample188.0ms

Algorithm
intervals
Results
67.0ms89×body1280valid
48.0ms285×body80valid
42.0ms81×body640valid
7.0ms24×body320valid
6.0ms27×body160valid

simplify190.0ms

Calls
1 calls:
Slowest
190.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0 im)) (exp im)))

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1 add-exp-log add-log-exp
3×associate-/r* times-frac associate-*l* insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ div-exp associate-*r* pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv associate-/l*
Calls
3 calls:
Slowest
10.0ms
(* (exp im) (* 0.5 (sin re)))
9.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
6.0ms
(/ (* 0.5 (sin re)) (exp im))

series317.0ms

Calls
3 calls:
Slowest
166.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (* 0.5 (sin re)) (exp im)))
75.0ms
(* (exp im) (* 0.5 (sin re)))
75.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify1.9s

Calls
27 calls:
Slowest
416.0ms
(- (* 0.5 re) (+ (* 0.5 (* re im)) (* 0.08333333333333333 (pow re 3))))
307.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
251.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
245.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
126.0ms
(/ (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (exp im) (exp im)) (exp im)))

prune576.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×add-cbrt-cube
12×associate-/r* add-exp-log
11×associate-/l*
9×div-inv
6×pow1 add-log-exp
4×cbrt-undiv div-exp insert-posit16
3×associate-*l*
2×clear-num frac-2neg
1×+-commutative sum-log flip3-+ associate-*r* pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ associate-/l/
Calls
4 calls:
Slowest
18.0ms
(/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))
17.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
10.0ms
(/ (* 0.5 (sin re)) (sqrt (exp im)))
6.0ms
(* (exp im) (* 0.5 (sin re)))

series313.0ms

Calls
4 calls:
Slowest
119.0ms
(+ (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
74.0ms
(* (exp im) (* 0.5 (sin re)))
69.0ms
(/ (* 0.5 (sin re)) (sqrt (exp im)))
51.0ms
(/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

simplify7.8s

Calls
179 calls:
Slowest
390.0ms
(- (* 0.5 re) (+ (* 0.5 (* re im)) (* 0.08333333333333333 (pow re 3))))
354.0ms
(* (* (* (exp im) (exp im)) (exp im)) (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))))
332.0ms
(+ (* 0.5 (* re im)) (+ (* 0.5 re) (* 0.25 (* re (pow im 2)))))
308.0ms
(- (+ (* 1.0 re) (* 0.5 (* re (pow im 2)))) (* 0.16666666666666666 (pow re 3)))
299.0ms
(/ (/ (* (* (* 0.5 (sin re)) (* 0.5 (sin re))) (* 0.5 (sin re))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (sqrt (exp im)) (sqrt (exp im))) (sqrt (exp im))))

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

21.9b
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))))
4.1b
(- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))
0.4b
(pow (* (exp im) (* 0.5 (sin re))) 3)
0.3b
(pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
207×times-frac
100×*-un-lft-identity
96×sqrt-prod
92×add-sqr-sqrt add-cube-cbrt
65×unpow-prod-down cube-prod
15×add-cbrt-cube div-inv
14×add-exp-log
8×pow1
7×associate-*r/
6×add-log-exp
5×pow-exp associate-/l* rem-cube-cbrt
4×cbrt-undiv div-exp sum-cubes insert-posit16 distribute-lft-out
3×associate-/r* pow-pow frac-sub
2×cube-mult pow-to-exp flip3-+ unpow3 associate-*l/ associate-/r/ flip-+ sub-div associate-/l/
1×cube-div frac-times clear-num sub-neg frac-2neg flip3-- distribute-rgt-out-- diff-log pow-prod-down prod-exp cbrt-unprod flip--
Calls
4 calls:
Slowest
186.0ms
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))))
21.0ms
(- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))
9.0ms
(pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)
4.0ms
(pow (* (exp im) (* 0.5 (sin re))) 3)

series808.0ms

Calls
4 calls:
Slowest
469.0ms
(/ (+ (pow (* (exp im) (* 0.5 (sin re))) 3) (pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)) (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))))
169.0ms
(- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))
104.0ms
(pow (* (exp im) (* 0.5 (sin re))) 3)
66.0ms
(pow (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) 3)

simplify52.3s

Calls
211 calls:
Slowest
827.0ms
(pow (/ (* (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im))))) 1) 3)
771.0ms
(pow (/ (* (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) 3)
710.0ms
(pow (/ (* (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im)))) (cbrt (/ (* 0.5 (sin re)) (sqrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) 3)
619.0ms
(/ 1 (* (cbrt (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))))) (cbrt (+ (* (* (exp im) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re)))) (- (* (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))) (* (* (exp im) (* 0.5 (sin re))) (/ (/ (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))))))))
604.0ms
(pow (/ (/ 0.5 (sqrt (* (cbrt (exp im)) (cbrt (exp im))))) (* (cbrt (sqrt (exp im))) (cbrt (sqrt (exp im))))) 3)

prune3.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample8.5s

Algorithm
intervals
Results
3.3s2962×body1280valid
2.2s2479×body640valid
1.4s8621×body80valid
1.0s1237×body320valid
217.0ms673×body160valid