Details

Time bar (total: 34.6s)

sample41.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
10.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.3b

localize18.0ms

Local error

Found 2 expressions with local error:

29.1b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite32.0ms

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
25.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms
(sqrt (+ (* re re) (* im im)))

series218.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
176.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify2.7s

Counts
72 → 71
Calls
72 calls:
Slowest
449.0ms
(/ (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log 10) (log 10)) (log 10)))
334.0ms
(/ (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (log 10))
302.0ms
(sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))
256.0ms
(/ (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (log 10))
245.0ms
(sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))

prune831.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.9b

localize19.0ms

Local error

Found 3 expressions with local error:

30.0b
(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)))))

rewrite27.0ms

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
10.0ms
(log (+ (* re re) (* im im)))
9.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
6.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))

series417.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
181.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
171.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
64.0ms
(log (+ (* re re) (* im im)))

simplify10.2s

Counts
202 → 160
Calls
202 calls:
Slowest
542.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))))
536.0ms
(/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))))
361.0ms
(/ (* (* 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))))))
335.0ms
(log (+ (pow (* re re) 3) (pow (* im im) 3)))
267.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (/ 1 (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.8b

localize30.0ms

Local error

Found 4 expressions with local error:

30.0b
(log (+ (* im im) (* re re)))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))

rewrite19.0ms

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
8.0ms
(cbrt (log 10))
7.0ms
(log (+ (* im im) (* re re)))
2.0ms
(cbrt (log 10))
1.0ms
(cbrt (log 10))

series66.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
66.0ms
(log (+ (* im im) (* re re)))
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))

simplify1.9s

Counts
24 → 60
Calls
24 calls:
Slowest
440.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
388.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
352.0ms
(* (* (/ (cbrt 1/2) (cbrt (log 10))) (/ (cbrt 1/2) (cbrt (log 10)))) (* (log (+ (* im im) (* re re))) (/ (cbrt 1/2) (cbrt (log 10)))))
287.0ms
(log (+ (pow (* im im) 3) (pow (* re re) 3)))
243.0ms
(log (- (* (* im im) (* im im)) (* (* re re) (* re re))))

prune919.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize46.0ms

Local error

Found 3 expressions with local error:

30.0b
(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)))))

rewrite38.0ms

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
13.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
11.0ms
(log (+ (* re re) (* im im)))
8.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))

series442.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
198.0ms
(/ 1/2 (/ (log 10) (log (+ (* re re) (* im im)))))
184.0ms
(/ (log 10) (log (+ (* re re) (* im im))))
59.0ms
(log (+ (* re re) (* im im)))

simplify10.3s

Counts
202 → 160
Calls
202 calls:
Slowest
633.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (/ (* (cbrt (log 10)) (cbrt (log 10))) (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))))
462.0ms
(/ (* (* (log 10) (log 10)) (log 10)) (* (* (log (+ (* re re) (* im im))) (log (+ (* re re) (* im im)))) (log (+ (* re re) (* im im)))))
429.0ms
(/ (* (* 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))))))
272.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (/ 1 (* (cbrt (log (+ (* re re) (* im im)))) (cbrt (log (+ (* re re) (* im im)))))))
270.0ms
(log (+ (pow (* re re) 3) (pow (* im im) 3)))

prune1.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

regimes681.0ms

Accuracy

43.1% (17.1b remaining)

Error of 17.5b against oracle of 0.4b and baseline of 30.5b

bsearch390.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.6s8000×body80valid