Details

Time bar (total: 16.4s)

sample145.0ms

Algorithm
intervals
Results
85.0ms194×body1280valid
27.0ms106×body640valid
6.0ms41×body320valid
6.0ms136×body80valid
2.0ms17×body160valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
12112
24412
310412
420912
530512
645112
752412
878512
9148512
10194012
11197812
12201912
done201912

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.7b
(- (exp (- 0.0 im)) (exp im))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
216×prod-diff
119×add-sqr-sqrt *-un-lft-identity
115×add-cube-cbrt
110×exp-sum
44×distribute-rgt-in distribute-lft-in
14×fma-neg
13×sub-neg
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 184
Calls
2 calls:
154.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
78.0ms
(- (exp (- 0.0 im)) (exp im))

series123.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
37.0ms
(- (exp (- 0.0 im)) (exp im))

simplify1.1s

Counts
190 → 190
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02847174
16314912
215553505
done50002656

prune218.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/60 (pow im 5) (* 2 im))
0.0b
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
0.1b
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
8×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×fma-udef
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×distribute-neg-in
1×distribute-rgt-in neg-mul-1 distribute-lft-in associate-*l* *-commutative distribute-rgt-neg-out
Counts
3 → 50
Calls
3 calls:
0.0ms
(fma 1/60 (pow im 5) (* 2 im))
0.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
23.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series359.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(fma 1/60 (pow im 5) (* 2 im))
61.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
175.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify702.0ms

Counts
59 → 59
Iterations

Useful iterations: done (700.0ms)

IterNodesCost
01101138
12821106
21118956
done5000949

prune218.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (fma 2 im (fma (pow im 3) 1/3 (* 1/60 (pow im 5))))))
0.1b
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
17×associate-*r*
14×add-sqr-sqrt
13×add-exp-log
10×add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
8×pow1
6×prod-exp
4×unpow-prod-down associate-*l* cbrt-unprod
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in pow-prod-down fma-udef log1p-expm1-u add-log-exp unswap-sqr
2×distribute-neg-in *-commutative sqr-pow
1×distribute-rgt-in pow-to-exp neg-mul-1 distribute-lft-in pow-exp distribute-rgt-neg-out
Counts
3 → 67
Calls
3 calls:
11.0ms
(* 1/60 (pow im 5))
26.0ms
(* (* 0.5 (cos re)) (- (fma 2 im (fma (pow im 3) 1/3 (* 1/60 (pow im 5))))))
0.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

series354.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* 1/60 (pow im 5))
177.0ms
(* (* 0.5 (cos re)) (- (fma 2 im (fma (pow im 3) 1/3 (* 1/60 (pow im 5))))))
122.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01491183
13651130
21235994
done5000987

prune251.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))))
0.1b
(* (* 0.5 (cos re)) (* -2 im))
0.1b
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
23×add-cbrt-cube
21×pow1
18×associate-*r*
15×add-sqr-sqrt
14×prod-exp
12×cbrt-unprod
11×pow-prod-down
10×add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×expm1-log1p-u unpow-prod-down log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in *-commutative fma-udef unswap-sqr
2×distribute-neg-in sqr-pow
1×distribute-rgt-in pow-to-exp neg-mul-1 distribute-lft-in pow-exp distribute-rgt-neg-out
Counts
4 → 91
Calls
4 calls:
11.0ms
(* 1/60 (pow im 5))
23.0ms
(* (* 0.5 (cos re)) (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))))
31.0ms
(* (* 0.5 (cos re)) (* -2 im))
0.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

series473.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/60 (pow im 5))
253.0ms
(* (* 0.5 (cos re)) (- (fma (pow im 3) 1/3 (* 1/60 (pow im 5)))))
48.0ms
(* (* 0.5 (cos re)) (* -2 im))
121.0ms
(fma (pow im 3) 1/3 (* 1/60 (pow im 5)))

simplify982.0ms

Counts
103 → 103
Iterations

Useful iterations: done (979.0ms)

IterNodesCost
01811391
14611312
218011131
done50011101

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes175.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01719
12219
22619
33319
done3319

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.4s5695×body1280valid
906.0ms3529×body640valid
249.0ms1518×body320valid
214.0ms4338×body80valid
74.0ms673×body160valid