Details

Time bar (total: 9.9s)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
068
193
2113
done113

prune5.0ms

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)

series75.0ms

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

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

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

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite18.0ms

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)
15.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

series150.0ms

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

simplify5.1s

Counts
80 → 80
Iterations

Useful iterations: 5 (2.6s)

IterNodesCost
063742
198435
2212389
3404374
4846360
54772356
done5000356

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (hypot re im)))
0.1b
(sqrt (sqrt (hypot re im)))
0.2b
(* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
0.7b
(pow (sqrt (sqrt (hypot re im))) 3)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*r* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×associate-*l*
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 156
Calls
4 calls:
5.0ms
(sqrt (sqrt (hypot re im)))
2.0ms
(sqrt (sqrt (hypot re im)))
36.0ms
(* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
6.0ms
(pow (sqrt (sqrt (hypot re im))) 3)

series426.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(sqrt (sqrt (hypot re im)))
114.0ms
(sqrt (sqrt (hypot re im)))
50.0ms
(* (sqrt (sqrt (hypot re im))) (pow (sqrt (sqrt (hypot re im))) 3))
148.0ms
(pow (sqrt (sqrt (hypot re im))) 3)

simplify1.0s

Counts
168 → 168
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01322357
12951990
29611429
done50011350

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

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

sample477.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid