Details

Time bar (total: 5.6s)

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
4.0ms
(sqrt (+ (* re re) (* im im)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize10.0ms

Local error

Found 2 expressions with local error:

24.8b
(sqrt (+ (* re re) (* im im)))
0.0b
(+ (* re re) (* im im))

rewrite13.0ms

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
Counts
2 → 28
Calls
2 calls:
Slowest
7.0ms
(+ (* re re) (* im im))
6.0ms
(sqrt (+ (* re re) (* im im)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
43.0ms
(+ (* re re) (* im im))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify736.0ms

Counts
14 → 34
Calls
14 calls:
Slowest
291.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
218.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
138.0ms
(* (exp (* re re)) (exp (* im im)))
20.0ms
(+ (pow im 2) (pow re 2))
14.0ms
(+ (pow im 2) (pow re 2))

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.3b

localize19.0ms

Local error

Found 3 expressions with local error:

24.8b
(sqrt (+ (* re re) (* im im)))
5.8b
(exp (log (sqrt (+ (* re re) (* im im)))))
0.0b
(+ (* re re) (* im im))

rewrite34.0ms

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
Counts
3 → 51
Calls
3 calls:
Slowest
14.0ms
(+ (* re re) (* im im))
13.0ms
(exp (log (sqrt (+ (* re re) (* im im)))))
6.0ms
(sqrt (+ (* re re) (* im im)))

series124.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
52.0ms
(sqrt (+ (* re re) (* im im)))
40.0ms
(exp (log (sqrt (+ (* re re) (* im im)))))
32.0ms
(+ (* re re) (* im im))

simplify1.4s

Counts
32 → 60
Calls
32 calls:
Slowest
308.0ms
(exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))))
256.0ms
(exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))))
238.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
227.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))
157.0ms
(* (exp (* re re)) (exp (* im im)))

prune613.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.3b

localize5.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune20.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.3b

localize14.0ms

Local error

Found 1 expressions with local error:

2.9b
(exp (log (- re)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×log-prod exp-sum
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×exp-prod
3×distribute-lft-neg-in distribute-rgt-neg-in
2×pow1
1×neg-mul-1 add-cbrt-cube add-exp-log log-pow insert-posit16 add-log-exp rem-exp-log
Counts
1 → 23
Calls
1 calls:
Slowest
7.0ms
(exp (log (- re)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
20.0ms
(exp (log (- re)))

simplify195.0ms

Counts
17 → 26
Calls
17 calls:
Slowest
81.0ms
(exp (* (cbrt (log (- re))) (cbrt (log (- re)))))
25.0ms
(exp (log (- (* (cbrt re) (cbrt re)))))
13.0ms
(exp (log (- 1)))
12.0ms
(exp (log (* (cbrt re) (cbrt re))))
9.0ms
(exp (log (sqrt re)))

prune166.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.3b

regimes476.0ms

Accuracy

59.7% (8.8b remaining)

Error of 16.7b against oracle of 7.9b and baseline of 29.8b

bsearch92.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid