Details

Time bar (total: 18.2s)

sample66.0ms

Algorithm
intervals
Results
49.0ms256×body80valid

simplify18.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize41.0ms

Local error

Found 3 expressions with local error:

26.0b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(+ (* re re) (* im im))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
6×sqrt-pow1 pow1/2 associate-/l*
5×add-cbrt-cube add-exp-log add-log-exp
4×associate-/r* sqrt-div
3×flip3-+ sqrt-prod flip-+ insert-posit16
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 77
Calls
3 calls:
Slowest
51.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
11.0ms
(sqrt (+ (* re re) (* im im)))
7.0ms
(+ (* re re) (* im im))

series258.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
168.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
50.0ms
(sqrt (+ (* re re) (* im im)))
40.0ms
(+ (* re re) (* im im))

simplify1.9s

Counts
86 → 86

prune949.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

localize30.0ms

Local error

Found 4 expressions with local error:

27.0b
(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))))
0.0b
(+ (* re re) (* im im))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×*-un-lft-identity add-cube-cbrt
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod insert-posit16 associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×frac-times +-commutative clear-num sum-log frac-2neg rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 168
Calls
4 calls:
Slowest
27.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
22.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
7.0ms
(+ (* re re) (* im im))
6.0ms
(log (+ (* re re) (* im im)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
271.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
217.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
70.0ms
(log (+ (* re re) (* im im)))
30.0ms
(+ (* re re) (* im im))

simplify832.0ms

Counts
180 → 180

prune2.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.2b

localize53.0ms

Local error

Found 4 expressions with local error:

27.0b
(log (+ (* re re) (* im im)))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.3b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))

rewrite113.0ms

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
42.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
35.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
26.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
6.0ms
(log (+ (* re re) (* im im)))

series1.8s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
340.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
306.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
72.0ms
(log (+ (* re re) (* im im)))

simplify1.1s

Counts
223 → 223

prune2.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.1b

localize51.0ms

Local error

Found 4 expressions with local error:

27.0b
(log (+ (* re re) (* im im)))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(* (cbrt 1/2) (cbrt 1/2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×sqrt-prod
18×pow1
17×*-un-lft-identity add-cube-cbrt
16×cbrt-prod
8×sqrt-pow1
7×add-exp-log
6×pow1/3 swap-sqr associate-*r* associate-*l*
4×rem-sqrt-square add-cbrt-cube pow1/2 insert-posit16 add-log-exp unswap-sqr
3×log-prod log-pow
2×log-div pow-prod-down pow-sqr pow-prod-up
1×pow2 flip3-+ pow-plus rem-log-exp prod-exp *-commutative cbrt-unprod flip-+
Counts
4 → 98
Calls
4 calls:
Slowest
7.0ms
(* (cbrt 1/2) (cbrt 1/2))
5.0ms
(log (+ (* re re) (* im im)))
2.0ms
(sqrt (sqrt (log 10)))
2.0ms
(sqrt (sqrt (log 10)))

series67.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
67.0ms
(log (+ (* re re) (* im im)))
0.0ms
(sqrt (sqrt (log 10)))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(sqrt (sqrt (log 10)))

simplify841.0ms

Counts
104 → 104

prune1.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.1b

regimes1.3s

Accuracy

57.3% (10.3b remaining)

Error of 17.3b against oracle of 7.0b and baseline of 31.0b

bsearch121.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid