Details

Time bar (total: 23.4s)

sample252.0ms

Algorithm
intervals
Results
118.0ms173×body1280valid
57.0ms135×body640valid
36.0ms162×body80valid
13.0ms49×body320valid
4.0ms22×body160valid

simplify8.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize12.0ms

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))

rewrite417.0ms

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:
268.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
132.0ms
(- (exp (- 0.0 im)) (exp im))

series191.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
77.0ms
(- (exp (- 0.0 im)) (exp im))

simplify2.3s

Counts
190 → 190
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02847174
16314912
215553505
done50002656

prune387.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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*
6×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-neg-in fma-udef
1×distribute-rgt-in expm1-log1p-u neg-mul-1 distribute-lft-in associate-*l* *-commutative distribute-rgt-neg-out log1p-expm1-u add-log-exp
Counts
1 → 30
Calls
1 calls:
24.0ms
(* (* 0.5 (cos re)) (- (fma 1/3 (pow im 3) (fma 1/60 (pow im 5) (* 2 im)))))

series227.0ms

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

simplify4.7s

Counts
33 → 33
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
092780
1262757
21017649
34877642
done5000642

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
24×prod-exp
23×associate-*r*
22×add-cbrt-cube
17×add-sqr-sqrt
13×pow1
12×cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
6×pow-prod-down
5×associate-*l*
4×unpow-prod-down cube-prod unswap-sqr
3×distribute-lft-neg-in expm1-log1p-u pow-to-exp distribute-rgt-neg-in pow-exp *-commutative log1p-expm1-u add-log-exp
2×distribute-neg-in fma-udef sqr-pow
1×distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 distribute-rgt-neg-out
Counts
3 → 89
Calls
3 calls:
37.0ms
(* (* -1/3 (pow im 3)) (* 0.5 (cos re)))
53.0ms
(* (* 0.5 (cos re)) (- (fma 1/60 (pow im 5) (* 2 im))))
21.0ms
(* -1/3 (pow im 3))

series530.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(* (* -1/3 (pow im 3)) (* 0.5 (cos re)))
352.0ms
(* (* 0.5 (cos re)) (- (fma 1/60 (pow im 5) (* 2 im))))
75.0ms
(* -1/3 (pow im 3))

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01651288
14401175
217581017
done5000987

prune423.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube 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:
50.0ms
(* (cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re)))) (cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re)))))
13.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))
16.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))
13.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))

series1.2s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re)))) (cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re)))))
307.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))
292.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))
297.0ms
(cbrt (* (fma (pow im 5) -1/60 (* -2 im)) (* 0.5 (cos re))))

simplify2.2s

Counts
78 → 78
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01251928
12821778
27991574
330021308
done50001257

prune471.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes11.0ms