Details

Time bar (total: 6.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
068
193
2113
done113

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot re im)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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)

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(hypot re im)

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

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

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* re re) (* im im))
27.4b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
add-exp-log expm1-log1p-u flip3-+ sqrt-div add-cbrt-cube flip-+ log1p-expm1-u
+-commutative rem-sqrt-square fma-def sqrt-pow1 pow1/2 sum-log hypot-def
Counts
2 → 32
Calls
2 calls:
9.0ms
(+ (* re re) (* im im))
9.0ms
(sqrt (+ (* re re) (* im im)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ (* re re) (* im im))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify3.2s

Counts
38 → 38
Iterations

Useful iterations: 3 (389.0ms)

IterNodesCost
052413
1134285
2396237
31156233
43429233
done5000233

prune142.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

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

sample763.0ms

Algorithm
intervals
Results
445.0ms8000×body80valid