Details

Time bar (total: 1.1m)

sample45.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize31.0ms

Local error

Found 2 expressions with local error:

28.8b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
4×associate-/r* add-cbrt-cube sqrt-div add-exp-log
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ insert-posit16 add-log-exp
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp div-inv
Counts
2 → 65
Calls
2 calls:
Slowest
26.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
9.0ms
(sqrt (+ (* re re) (* im im)))

series251.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
189.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
61.0ms
(sqrt (+ (* re re) (* im im)))

simplify5.0s

Counts
101 → 71
Calls
101 calls:
Slowest
512.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
388.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
378.0ms
(/ (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (log 10))
340.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
334.0ms
(sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))

prune827.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.7b

localize44.0ms

Local error

Found 3 expressions with local error:

30.1b
(log (+ (* re re) (* im im)))
0.6b
(/ (log 10) (log (+ (* re re) (* im im))))
0.3b
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
71×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×pow1
43×log-pow
24×associate-/r*
11×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
3×log-prod insert-posit16 add-log-exp
2×log-div clear-num frac-2neg
1×flip3-+ rem-log-exp associate-/r/ flip-+
Counts
3 → 151
Calls
3 calls:
Slowest
11.0ms
(log (+ (* re re) (* im im)))
7.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
6.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))

series435.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
181.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
172.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
82.0ms
(log (+ (* re re) (* im im)))

simplify14.4s

Counts
242 → 160
Calls
242 calls:
Slowest
577.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))))
551.0ms
(/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))))
456.0ms
(/ (* (* 1/2 1/2) 1/2) (* (* (/ (log 10) (log (+ (* re re) (* im im)))) (/ (log 10) (log (+ (* re re) (* im im))))) (/ (log 10) (log (+ (* re re) (* im im))))))
383.0ms
(* (* (/ 1/2 (/ (log 10) (log (+ (* re re) (* im im))))) (/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))) (/ 1/2 (/ (log 10) (log (+ (* re re) (* im im))))))
315.0ms
(log (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize54.0ms

Local error

Found 4 expressions with local error:

30.1b
(log (+ (* im im) (* re re)))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
5×add-exp-log
4×add-cbrt-cube log-pow insert-posit16 add-log-exp
3×log-prod pow1/3
2×log-div
1×flip3-+ rem-log-exp flip-+
Counts
4 → 54
Calls
4 calls:
Slowest
6.0ms
(log (+ (* im im) (* re re)))
1.0ms
(cbrt (log 10))
1.0ms
(cbrt (log 10))
1.0ms
(cbrt (log 10))

series67.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
67.0ms
(log (+ (* im im) (* re re)))
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))

simplify3.3s

Counts
73 → 60
Calls
73 calls:
Slowest
497.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
495.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
478.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
339.0ms
(log (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re)))))
324.0ms
(log (+ (pow (* im im) 3) (pow (* re re) 3)))

prune789.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 3 expressions with local error:

30.1b
(log (+ (* im im) (* re re)))
0.3b
(* (/ (sqrt 1/2) (sqrt (log 10))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10)))))
0.3b
(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
94×sqrt-prod
88×times-frac
73×add-sqr-sqrt
59×*-un-lft-identity add-cube-cbrt
50×associate-*l*
47×associate-*r*
30×add-exp-log
29×add-cbrt-cube
24×pow1
14×log-pow
12×prod-exp cbrt-unprod
6×cbrt-undiv div-exp
5×unswap-sqr
4×pow-prod-down associate-*r/
3×log-prod insert-posit16 add-log-exp
2×log-div *-commutative div-inv
1×frac-times flip3-+ rem-log-exp associate-*l/ flip-+
Counts
3 → 158
Calls
3 calls:
Slowest
60.0ms
(* (/ (sqrt 1/2) (sqrt (log 10))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10)))))
19.0ms
(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))
11.0ms
(log (+ (* im im) (* re re)))

series679.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
312.0ms
(* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))
301.0ms
(* (/ (sqrt 1/2) (sqrt (log 10))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10)))))
65.0ms
(log (+ (* im im) (* re re)))

simplify31.2s

Counts
175 → 167
Calls
175 calls:
Slowest
870.0ms
(+ (log (/ (sqrt 1/2) (sqrt (log 10)))) (log (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))))
577.0ms
(* (/ (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10))))))
489.0ms
(* -2 (/ (* (log (/ 1 im)) (pow (sqrt 1/2) 2)) (log 10)))
466.0ms
(+ (log (/ (sqrt 1/2) (sqrt (log 10)))) (+ (log (log (+ (* im im) (* re re)))) (log (/ (sqrt 1/2) (sqrt (log 10))))))
441.0ms
(* (/ (sqrt (sqrt 1/2)) (sqrt (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (sqrt 1/2) (sqrt (log 10)))))

prune1.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.2b

regimes739.0ms

Accuracy

44.2% (16.8b remaining)

Error of 17.1b against oracle of 0.4b and baseline of 30.4b

bsearch200.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s8000×body80valid