Details

Time bar (total: 14.7s)

sample59.0ms

Algorithm
intervals
Results
20.0ms51×body1280valid
10.0ms211×body80valid
8.0ms37×body640valid
5.0ms31×body320valid
2.0ms16×body160valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (exp re) (cos im))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
15.0ms
(* (exp re) (cos im))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(* (exp re) (cos im))

simplify3.2s

Counts
23 → 23
Iterations

Useful iterations: 4 (376.0ms)

IterNodesCost
040169
182164
2210145
3350145
4490144
5868144
62183144
done5000144

prune61.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp re))
0.0b
(sqrt (exp re))
0.0b
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
0.0b
(* (sqrt (exp re)) (cos im))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
12×associate-*l*
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
6×exp-prod
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(sqrt (exp re))
6.0ms
(sqrt (exp re))
70.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
18.0ms
(* (sqrt (exp re)) (cos im))

series156.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (exp re))
18.0ms
(sqrt (exp re))
45.0ms
(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
70.0ms
(* (sqrt (exp re)) (cos im))

simplify5.1s

Counts
95 → 95
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
081775
1159616
2449560
3884554
41186547
52651547
done5000547

prune272.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp re) (cos im))
0.1b
(log1p (expm1 (* (exp re) (cos im))))
0.4b
(expm1 (* (exp re) (cos im)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×add-exp-log log1p-expm1-u
3×expm1-log1p-u associate-*r* associate-*l* add-log-exp
1×log1p-udef expm1-log1p log1p-expm1 pow-prod-down prod-exp *-commutative cbrt-unprod expm1-udef unswap-sqr
Counts
3 → 42
Calls
3 calls:
15.0ms
(* (exp re) (cos im))
0.0ms
(log1p (expm1 (* (exp re) (cos im))))
1.0ms
(expm1 (* (exp re) (cos im)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (exp re) (cos im))
68.0ms
(log1p (expm1 (* (exp re) (cos im))))
70.0ms
(expm1 (* (exp re) (cos im)))

simplify2.4s

Counts
51 → 51
Iterations

Useful iterations: 4 (796.0ms)

IterNodesCost
067411
1130372
2318329
3646327
41514325
done5001325

prune132.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (expm1 (* (exp re) (cos im))))
0.4b
(expm1 (* (exp re) (cos im)))
0.4b
(expm1 (* (exp re) (cos im)))
0.4b
(* (sqrt (expm1 (* (exp re) (cos im)))) (sqrt (expm1 (* (exp re) (cos im)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u
5×pow-prod-up
4×expm1-log1p-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×expm1-log1p expm1-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (expm1 (* (exp re) (cos im))))
0.0ms
(expm1 (* (exp re) (cos im)))
0.0ms
(expm1 (* (exp re) (cos im)))
17.0ms
(* (sqrt (expm1 (* (exp re) (cos im)))) (sqrt (expm1 (* (exp re) (cos im)))))

series435.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(sqrt (expm1 (* (exp re) (cos im))))
88.0ms
(expm1 (* (exp re) (cos im)))
94.0ms
(expm1 (* (exp re) (cos im)))
69.0ms
(* (sqrt (expm1 (* (exp re) (cos im)))) (sqrt (expm1 (* (exp re) (cos im)))))

simplify2.0s

Counts
100 → 100
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0961437
1190962
2515858
31664818
done5000791

prune342.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes2.0ms