Details

Time bar (total: 2.8s)

sample28.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
8.0ms
(sqrt (+ (* re re) (* im im)))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot re im)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 hypot-udef *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
Slowest
1.0ms
(hypot re im)

series77.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
77.0ms
(hypot re im)

simplify6.0ms

Counts
3 → 14
Calls
3 calls:
Slowest
4.0ms
(* -1 re)
1.0ms
im
0.0ms
re

prune85.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

26.8b
(sqrt (+ (* re re) (* im im)))
0.0b
(+ (* re re) (* im im))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
2×expm1-log1p-u flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 log1p-expm1-u
1×+-commutative rem-sqrt-square sum-log fma-def sqrt-pow1 pow1/2 hypot-def
Counts
2 → 34
Calls
2 calls:
Slowest
14.0ms
(+ (* re re) (* im im))
12.0ms
(sqrt (+ (* re re) (* im im)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
67.0ms
(sqrt (+ (* re re) (* im im)))
28.0ms
(+ (* re re) (* im im))

simplify834.0ms

Counts
14 → 40
Calls
14 calls:
Slowest
330.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
266.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
140.0ms
(* (exp (* re re)) (exp (* im im)))
17.0ms
(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))
15.0ms
(+ (* re re) (* im im))

prune313.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid