Details

Time bar (total: 19.8s)

sample59.0ms

Algorithm
intervals
Results
42.0ms256×body80valid

simplify9.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize29.0ms

Local error

Found 3 expressions with local error:

30.1b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(+ (* re re) (* im im))

rewrite67.0ms

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
41.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
15.0ms
(+ (* re re) (* im im))
9.0ms
(sqrt (+ (* re re) (* im im)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
198.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
51.0ms
(sqrt (+ (* re re) (* im im)))
36.0ms
(+ (* re re) (* im im))

simplify1.8s

Counts
86 → 86

prune963.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.6b

localize30.0ms

Local error

Found 4 expressions with local error:

31.4b
(log (+ (* re re) (* im im)))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.2b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.0b
(+ (* re re) (* im im))

rewrite89.0ms

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
38.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
29.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
13.0ms
(+ (* re re) (* im im))
6.0ms
(log (+ (* re re) (* im im)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
246.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
245.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
75.0ms
(log (+ (* re re) (* im im)))
49.0ms
(+ (* re re) (* im im))

simplify846.0ms

Counts
180 → 180

prune2.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.4b

localize33.0ms

Local error

Found 4 expressions with local error:

31.4b
(log (+ (* re re) (* im im)))
0.2b
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
0.2b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
0.0b
(+ (* re re) (* im im))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
46×add-sqr-sqrt times-frac
36×*-un-lft-identity
34×add-cube-cbrt
30×add-cbrt-cube
29×associate-*l*
26×associate-*r* sqrt-prod
22×prod-exp
19×pow1
12×cbrt-unprod
11×div-exp
8×log-pow
6×cbrt-undiv add-log-exp
5×associate-*r/ unswap-sqr
4×pow-prod-down insert-posit16
3×rec-exp log-prod 1-exp un-div-inv
2×frac-times log-div flip3-+ *-commutative flip-+ div-inv
1×+-commutative sum-log rem-log-exp associate-*l/
Counts
4 → 137
Calls
4 calls:
Slowest
54.0ms
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
15.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
12.0ms
(+ (* re re) (* im im))
11.0ms
(log (+ (* re re) (* im im)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
303.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
199.0ms
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
71.0ms
(log (+ (* re re) (* im im)))
48.0ms
(+ (* re re) (* im im))

simplify885.0ms

Counts
149 → 149

prune2.2s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

localize31.0ms

Local error

Found 4 expressions with local error:

31.4b
(log (+ (* re re) (* im im)))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.5b
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
0.2b
(* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
131×add-sqr-sqrt
107×sqrt-prod
79×*-un-lft-identity add-cube-cbrt
78×add-exp-log
68×associate-*l*
59×add-cbrt-cube
42×pow1
33×associate-*r*
31×prod-exp log-pow
27×div-exp
22×cbrt-unprod
18×cbrt-undiv
15×unswap-sqr
7×associate-/r*
6×frac-times associate-*r/
5×1-exp
4×log-div pow-prod-down associate-*l/ insert-posit16 div-inv associate-/l* add-log-exp
3×log-prod
2×flip3-+ div-sub *-commutative flip-+
1×clear-num frac-2neg rem-log-exp
Counts
4 → 249
Calls
4 calls:
Slowest
53.0ms
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
37.0ms
(* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
20.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
12.0ms
(log (+ (* re re) (* im im)))

series883.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
287.0ms
(* (/ (sqrt 1/2) 1) (* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
214.0ms
(* (/ (sqrt 1/2) (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
70.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
261 → 261

prune3.8s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.4b

regimes825.0ms

Accuracy

58.4% (10.1b remaining)

Error of 17.1b against oracle of 7.1b and baseline of 31.3b

bsearch195.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid