Details

Time bar (total: 21.9s)

sample317.0ms

Algorithm
intervals
Results
160.0ms146×body1280valid
79.0ms141×body640valid
22.0ms59×body320valid
21.0ms163×body80valid
8.0ms32×body160valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11811
23911
38911
415011
525411
633211
747411
877711
996911
10100511
11104411
done104411

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
27×prod-diff
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
7×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×sub-neg fma-neg 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 → 74
Calls
2 calls:
109.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
34.0ms
(- (exp (- im)) (exp im))

series141.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
46.0ms
(- (exp (- im)) (exp im))

simplify4.5s

Counts
80 → 80
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
01451741
13511397
211091099
34946907
done5000907

prune285.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log
11×add-sqr-sqrt
9×add-cbrt-cube
8×associate-*l*
7×pow1
6×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
4×unpow-prod-down cbrt-unprod
3×pow-prod-down unswap-sqr
2×expm1-log1p-u *-commutative fma-udef log1p-expm1-u add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp
Counts
2 → 49
Calls
2 calls:
24.0ms
(* (pow im 5) -1/60)
45.0ms
(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

series334.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (pow im 5) -1/60)
269.0ms
(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

simplify3.8s

Counts
55 → 55
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0115823
1268789
2943675
34207671
done5000669

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
43×add-exp-log
27×prod-exp
25×add-cbrt-cube
24×add-sqr-sqrt
19×associate-*r*
14×pow1
13×cbrt-unprod
12×add-cube-cbrt *-un-lft-identity associate-*l*
8×unpow-prod-down
7×unswap-sqr
6×pow-prod-down
4×expm1-log1p-u pow-to-exp cube-prod pow-exp *-commutative log1p-expm1-u add-log-exp sqr-pow
2×fma-udef
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 108
Calls
4 calls:
13.0ms
(* (pow im 5) -1/60)
48.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
44.0ms
(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))
18.0ms
(* -1/3 (pow im 3))

series676.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (pow im 5) -1/60)
141.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
380.0ms
(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))
56.0ms
(* -1/3 (pow im 3))

simplify1.6s

Counts
120 → 120
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01891373
14601250
217481086
done50001082

prune556.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
14.3b
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
14.3b
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
14.3b
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

rewrite149.0ms

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:
46.0ms
(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
40.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
29.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
30.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

series1.5s

Counts
4 → 12
Calls
4 calls:
410.0ms
(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
376.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
344.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
364.0ms
(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

simplify1.9s

Counts
78 → 78
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01191880
12611735
27351529
326151265
done50011221

prune622.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes6.0ms