Details

Time bar (total: 23.7s)

sample274.0ms

Algorithm
intervals
Results
136.0ms174×body1280valid
73.0ms116×body640valid
14.0ms144×body80valid
14.0ms41×body320valid
4.0ms19×body160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01112
12112
24412
310412
421212
570812
6467012
done500012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.2b
(- (exp (- 0.0 im)) (exp im))

rewrite319.0ms

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-cbrt-cube add-exp-log
5×associate-*r*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 184
Calls
2 calls:
188.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
106.0ms
(- (exp (- 0.0 im)) (exp im))

series160.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
52.0ms
(- (exp (- 0.0 im)) (exp im))

simplify1.9s

Counts
190 → 190
Iterations

Useful iterations: 2 (601.0ms)

IterNodesCost
02847174
17874981
246613586
done50003586

prune454.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
8×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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)))
20.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series567.0ms

Counts
3 → 9
Calls
3 calls:
240.0ms
(fma 1/60 (pow im 5) (* 2 im))
100.0ms
(fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))
227.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

simplify883.0ms

Counts
59 → 59
Iterations

Useful iterations: done (880.0ms)

IterNodesCost
01101138
13021108
21677956
done5000950

prune430.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* -1/3 (pow im 3)) (* (cos re) 0.5)) (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
0.0b
(* (* -1/3 (pow im 3)) (* (cos re) 0.5))
0.1b
(* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))
0.2b
(* -1/3 (pow im 3))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
24×prod-exp
23×add-cbrt-cube
18×add-sqr-sqrt
14×pow1 associate-*r* associate-*l*
12×cbrt-unprod
11×*-un-lft-identity add-cube-cbrt
6×pow-prod-down add-log-exp
4×expm1-log1p-u unpow-prod-down cube-prod log1p-expm1-u unswap-sqr
3×distribute-lft-neg-out distribute-lft-neg-in pow-to-exp distribute-rgt-neg-in pow-exp *-commutative
2×sqr-pow
1×cube-mult +-commutative neg-mul-1 sum-log fma-def flip3-+ distribute-rgt-out unpow3 unsub-neg flip-+
Counts
4 → 104
Calls
4 calls:
50.0ms
(+ (* (* -1/3 (pow im 3)) (* (cos re) 0.5)) (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
32.0ms
(* (* -1/3 (pow im 3)) (* (cos re) 0.5))
18.0ms
(* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))
13.0ms
(* -1/3 (pow im 3))

series442.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(+ (* (* -1/3 (pow im 3)) (* (cos re) 0.5)) (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
93.0ms
(* (* -1/3 (pow im 3)) (* (cos re) 0.5))
120.0ms
(* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))
74.0ms
(* -1/3 (pow im 3))

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01751812
14871552
221151372
done50001367

prune803.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))) (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))))
0.6b
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
0.6b
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
0.6b
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
64.0ms
(* (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))) (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))))
11.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
11.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
18.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))

series1.3s

Counts
4 → 12
Calls
4 calls:
383.0ms
(* (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))) (cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5))))
273.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
310.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))
333.0ms
(cbrt (* (- (fma 1/60 (pow im 5) (* 2 im))) (* (cos re) 0.5)))

simplify566.0ms

Counts
78 → 78
Iterations

Useful iterations: done (561.0ms)

IterNodesCost
01252032
13081874
211661654
done50001420

prune726.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes828.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
12725
23125
33825
done3825

end0.0ms

sample9.7s

Algorithm
intervals
Results
5.0s5713×body1280valid
2.3s3549×body640valid
923.0ms1508×body320valid
662.0ms4355×body80valid
120.0ms654×body160valid