Details

Time bar (total: 17.0s)

sample58.0ms

Algorithm
intervals
Results
42.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize40.0ms

Local error

Found 2 expressions with local error:

31.2b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite42.0ms

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
34.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms
(sqrt (+ (* re re) (* im im)))

series220.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
158.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
62.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts
71 → 71

prune855.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize29.0ms

Local error

Found 3 expressions with local error:

32.3b
(log (+ (* re re) (* im im)))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.3b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×*-un-lft-identity add-cube-cbrt
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod insert-posit16 div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times clear-num frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 156
Calls
3 calls:
Slowest
36.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
20.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
5.0ms
(log (+ (* re re) (* im im)))

series612.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
300.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
238.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
73.0ms
(log (+ (* re re) (* im im)))

simplify790.0ms

Counts
165 → 165

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize29.0ms

Local error

Found 4 expressions with local error:

32.3b
(log (+ (* re re) (* im im)))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
0.3b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×*-un-lft-identity add-cube-cbrt
56×associate-*l*
42×pow1
33×associate-*r*
31×log-pow
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×associate-/r* prod-exp cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ insert-posit16 div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×clear-num frac-2neg rem-log-exp
Counts
4 → 211
Calls
4 calls:
Slowest
87.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
31.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
20.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
5.0ms
(log (+ (* re re) (* im im)))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
684.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
647.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
274.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
81.0ms
(log (+ (* re re) (* im im)))

simplify1.1s

Counts
223 → 223

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize30.0ms

Local error

Found 3 expressions with local error:

32.3b
(log (+ (* re re) (* im im)))
0.3b
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
0.3b
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
44×times-frac
43×add-sqr-sqrt
35×*-un-lft-identity add-cube-cbrt
29×add-cbrt-cube associate-*r*
26×associate-*l*
25×sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
9×log-prod
8×log-pow
6×cbrt-undiv
4×pow-prod-down associate-*l/
3×distribute-rgt-in rec-exp distribute-lft-in 1-exp insert-posit16 add-log-exp unswap-sqr
2×log-div *-commutative div-inv
1×frac-times flip3-+ rem-log-exp associate-*r/ un-div-inv flip-+
Counts
3 → 127
Calls
3 calls:
Slowest
37.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
36.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
9.0ms
(log (+ (* re re) (* im im)))

series572.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
352.0ms
(* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im))))
166.0ms
(* (* (/ 1/2 (sqrt (log 10))) (log (+ (* re re) (* im im)))) (/ 1 (sqrt (log 10))))
53.0ms
(log (+ (* re re) (* im im)))

simplify812.0ms

Counts
136 → 136

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.8b

regimes763.0ms

Accuracy

55.6% (10.5b remaining)

Error of 17.5b against oracle of 7.1b and baseline of 30.7b

bsearch355.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid