Details

Time bar (total: 13.0s)

sample176.0ms

Algorithm
intervals
Results
84.0ms92×body1280valid
33.0ms99×body640valid
23.0ms292×body80valid
10.0ms42×body320valid
2.0ms16×body160valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12311
25911
310311
413711
517911
625811
739711
843511
947111
1052711
done52711

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt associate-*r* add-log-exp
3×fma-def pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 42
Calls
2 calls:
38.0ms
(+ (exp (- im)) (exp im))
101.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (exp (- im)) (exp im))
96.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify4.4s

Counts
48 → 48
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
091586
1253566
21029476
34427471
done5000471

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0b
(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
2 → 32
Calls
2 calls:
26.0ms
(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
0.0ms
(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

series243.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(* (* 0.5 (cos re)) (fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im)))
120.0ms
(fma (sqrt (exp (- im))) (sqrt (exp (- im))) (exp im))

simplify2.5s

Counts
38 → 38
Iterations

Useful iterations: done (2.5s)

IterNodesCost
077695
1182478
2667397
32781396
done5000395

prune141.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (exp (- im))) (cbrt (exp (- im))))
0.0b
(cbrt (exp (- im)))
0.0b
(cbrt (exp (- im)))
0.0b
(cbrt (exp (- im)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×neg-sub0 exp-neg exp-diff pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
36.0ms
(* (cbrt (exp (- im))) (cbrt (exp (- im))))
9.0ms
(cbrt (exp (- im)))
8.0ms
(cbrt (exp (- im)))
9.0ms
(cbrt (exp (- im)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (exp (- im))) (cbrt (exp (- im))))
123.0ms
(cbrt (exp (- im)))
90.0ms
(cbrt (exp (- im)))
87.0ms
(cbrt (exp (- im)))

simplify2.0s

Counts
107 → 107
Iterations

Useful iterations: done (2.0s)

IterNodesCost
084986
1143863
2323801
3673732
41568682
done5001654

prune421.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.0ms