Details

sample33.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify9.0ms

Calls

1 calls:

Slowest

9.0ms

(sqrt (+ (* re re) (* im im)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize21.0ms

Local error

Found 2 expressions with local error:

31.4b	(sqrt (+ (* re re) (* im im)))
0.0b	(+ (* re re) (* im im))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Calls

2 calls:

Slowest

25.0ms	(sqrt (+ (* re re) (* im im)))
10.0ms	(+ (* re re) (* im im))

series85.0ms

Calls

2 calls:

Slowest

44.0ms	(sqrt (+ (* re re) (* im im)))
41.0ms	(+ (* re re) (* im im))

simplify818.0ms

Calls

14 calls:

Slowest

302.0ms	(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
257.0ms	(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
169.0ms	(* (exp (* re re)) (exp (* im im)))
14.0ms	(sqrt (sqrt (+ (* re re) (* im im))))
13.0ms	(sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))

prune331.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 9.0b

localize17.0ms

Local error

Found 3 expressions with local error:

31.4b	(sqrt (+ (* re re) (* im im)))
5.8b	(exp (log (sqrt (+ (* re re) (* im im)))))
0.0b	(+ (* re re) (* im im))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod` `exp-sum` `sqrt-prod`
5×	`add-log-exp`
4×	`sqrt-div`
3×	`flip3-+` `add-cbrt-cube` `add-exp-log` `log-pow` `flip-+` `insert-posit16`
2×	`log-div` `sqrt-pow1` `pow1/2` `exp-diff`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-exp-log`

Calls

3 calls:

Slowest

14.0ms	(+ (* re re) (* im im))
14.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
6.0ms	(sqrt (+ (* re re) (* im im)))

series139.0ms

Calls

3 calls:

Slowest

61.0ms	(sqrt (+ (* re re) (* im im)))
43.0ms	(exp (log (sqrt (+ (* re re) (* im im)))))
35.0ms	(+ (* re re) (* im im))

simplify1.6s

Calls

32 calls:

Slowest

313.0ms	(exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
285.0ms	(exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
283.0ms	(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
216.0ms	(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
137.0ms	(* (exp (* re re)) (exp (* im im)))

prune610.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 9.0b

localize2.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune9.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 9.0b

localize1.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Calls

0 calls:

Slowest

series0.0ms

Calls

0 calls:

Slowest

simplify0.0ms

Calls

0 calls:

Slowest

prune0.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 9.0b

regimes453.0ms

Accuracy

57.9% (9.1b remaining)

Error of 16.7b against oracle of 7.6b and baseline of 29.2b

bsearch58.0ms

end0.0ms

sample767.0ms

Algorithm

intervals

Results

625.0ms

8000×

body

valid