Details

Time bar (total: 2.9s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
091
1111
2111
done111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot re im)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt hypot-udef *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(hypot re im)

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(hypot re im)

simplify94.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124
done500124

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.0b
(hypot re im)
0.5b
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×pow1 sqrt-prod
11×add-cube-cbrt *-un-lft-identity
8×sqrt-pow1 pow1/2 swap-sqr
6×associate-*r* associate-*l*
5×add-exp-log pow-prod-up add-cbrt-cube
4×unswap-sqr
3×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
2×hypot-udef
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 71
Calls
3 calls:
0.0ms
(hypot re im)
0.0ms
(hypot re im)
208.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(hypot re im)
51.0ms
(hypot re im)
47.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify100.0ms

Counts
80 → 80
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0102219
1373190
22206182
35001174
done5001174

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
0.4b
(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×sqrt-prod
9×cbrt-prod
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 76
Calls
4 calls:
26.0ms
(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
9.0ms
(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))

series467.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (sqrt (cbrt (hypot re im))))
99.0ms
(* (fabs (cbrt (hypot re im))) (sqrt (hypot re im)))
111.0ms
(cbrt (hypot re im))
116.0ms
(cbrt (hypot re im))

simplify46.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0321737
11446653
25001635
done5001635

prune232.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
35×pow-prod-down
16×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube
9×cbrt-prod
8×prod-exp pow-prod-up cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-sqr
5×sqrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×pow-plus
1×pow2 swap-sqr associate-*r* associate-*l* rem-square-sqrt *-commutative
Counts
4 → 85
Calls
4 calls:
63.0ms
(* (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))

series445.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))
113.0ms
(cbrt (hypot re im))
115.0ms
(cbrt (hypot re im))
115.0ms
(cbrt (hypot re im))

simplify128.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0254689
11067490
24648471
35001471
done5001471

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031
131
done31

end0.0ms

sample338.0ms

Algorithm
intervals
Results
163.0ms8000×body80valid