Details

Time bar (total: 12.2s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
068
193
2113
done113

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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:
1.0ms
(hypot re im)

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(hypot re im)

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
01760
12258
22552
33052
43652
54652
66752
714652
843152
9184152
done500152

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×hypot-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (hypot re im))
0.0ms
(hypot re im)
0.0ms
(hypot re im)
17.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (hypot re im))
69.0ms
(hypot re im)
58.0ms
(hypot re im)
60.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify2.3s

Counts
98 → 98
Iterations

Useful iterations: done (2.3s)

IterNodesCost
086890
1159563
2368505
3802486
41733471
done5000458

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))
0.6b
(cbrt (hypot re im))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
2.0ms
(cbrt (hypot re im))
2.0ms
(cbrt (hypot re im))
2.0ms
(cbrt (hypot re im))

series680.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))
185.0ms
(cbrt (hypot re im))
178.0ms
(cbrt (hypot re im))
184.0ms
(cbrt (hypot re im))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
078896
1148819
2359758
3808693
42023687
done5001650

prune454.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
1×+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
10.0ms
(+ (* re re) (* im im))
23.0ms
(sqrt (+ (* re re) (* im im)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* re re) (* im im))
59.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.9s

Counts
38 → 38
Iterations

Useful iterations: 3 (418.0ms)

IterNodesCost
052413
1134285
2396237
31156233
43429233
done5000233

prune79.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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
033
done33

end0.0ms

sample1.1s

Algorithm
intervals
Results
803.0ms8000×body80valid