Details

Time bar (total: 16.3s)

sample40.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify19.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize39.0ms

Local error

Found 2 expressions with local error:

28.1b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

rewrite57.0ms

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
43.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
12.0ms
(sqrt (+ (* re re) (* im im)))

series211.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
153.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
57.0ms
(sqrt (+ (* re re) (* im im)))

simplify921.0ms

Counts
71 → 71

prune901.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.1b

localize36.0ms

Local error

Found 3 expressions with local error:

29.2b
(log (+ (* re re) (* im im)))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
0.3b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))

rewrite76.0ms

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
37.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
24.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
11.0ms
(log (+ (* re re) (* im im)))

series538.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
296.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
173.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
69.0ms
(log (+ (* re re) (* im im)))

simplify807.0ms

Counts
165 → 165

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize96.0ms

Local error

Found 4 expressions with local error:

29.2b
(log (+ (* re re) (* im im)))
1.6b
(* (cbrt (log 10)) (cbrt (log 10)))
1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×swap-sqr log-pow
8×pow1/3
7×associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
3×log-prod
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 → 87
Calls
4 calls:
Slowest
18.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))
2.0ms
(cbrt (log 10))
2.0ms
(cbrt (log 10))

series62.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
62.0ms
(log (+ (* re re) (* im im)))
0.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))

simplify951.0ms

Counts
93 → 93

prune1.6s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.9b

localize54.0ms

Local error

Found 4 expressions with local error:

29.2b
(log (+ (* re re) (* im im)))
1.0b
(sqrt (sqrt (log 10)))
1.0b
(sqrt (sqrt (log 10)))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
44×sqrt-prod
31×add-sqr-sqrt
28×times-frac
27×*-un-lft-identity add-cube-cbrt
24×pow1
16×log-pow
8×sqrt-pow1
7×associate-/r* add-exp-log
6×add-cbrt-cube
4×rem-sqrt-square log-div pow1/2 insert-posit16 associate-/l* add-log-exp
3×log-prod
2×flip3-+ div-sub flip-+
1×cbrt-undiv clear-num frac-2neg div-exp rem-log-exp div-inv
Counts
4 → 111
Calls
4 calls:
Slowest
20.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
7.0ms
(log (+ (* re re) (* im im)))
2.0ms
(sqrt (sqrt (log 10)))
2.0ms
(sqrt (sqrt (log 10)))

series298.0ms

Counts
4 → 8
Calls
4 calls:
Slowest
243.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
55.0ms
(log (+ (* re re) (* im im)))
0.0ms
(sqrt (sqrt (log 10)))
0.0ms
(sqrt (sqrt (log 10)))

simplify2.6s

Counts
119 → 119

prune1.8s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.9b

regimes906.0ms

Accuracy

56.6% (10.6b remaining)

Error of 17.7b against oracle of 7.1b and baseline of 31.6b

bsearch391.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s8000×body80valid