Details

Time bar (total: 17.9s)

sample42.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify17.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.7b

localize40.0ms

Local error

Found 3 expressions with local error:

29.1b
(sqrt (+ (* re re) (* im im)))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
0.0b
(+ (* re re) (* im im))

rewrite88.0ms

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
59.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
14.0ms
(+ (* re re) (* im im))
13.0ms
(sqrt (+ (* re re) (* im im)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
188.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
56.0ms
(sqrt (+ (* re re) (* im im)))
52.0ms
(+ (* re re) (* im im))

simplify1.8s

Counts
86 → 86

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.5b

localize29.0ms

Local error

Found 4 expressions with local error:

30.4b
(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))))
0.0b
(+ (* re re) (* im im))

rewrite105.0ms

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
39.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
35.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
16.0ms
(+ (* re re) (* im im))
6.0ms
(log (+ (* re re) (* im im)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
253.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
212.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
64.0ms
(log (+ (* re re) (* im im)))
39.0ms
(+ (* re re) (* im im))

simplify860.0ms

Counts
180 → 180

prune2.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.3b

localize83.0ms

Local error

Found 4 expressions with local error:

30.4b
(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))

rewrite35.0ms

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
15.0ms
(* (cbrt 1/2) (cbrt 1/2))
11.0ms
(log (+ (* re re) (* im im)))
4.0ms
(sqrt (sqrt (log 10)))
3.0ms
(sqrt (sqrt (log 10)))

series62.0ms

Counts
4 → 6
Calls
4 calls:
Slowest
62.0ms
(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)))

simplify1.1s

Counts
104 → 104

prune1.7s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.2b

localize39.0ms

Local error

Found 4 expressions with local error:

30.4b
(log (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
30.2b
(cbrt (+ (* re re) (* im im)))
30.2b
(cbrt (+ (* re re) (* im im)))
30.2b
(cbrt (+ (* re re) (* im im)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×log-div
24×pow1
15×log-pow
14×associate-*l/
12×pow1/3
10×add-exp-log
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×add-cbrt-cube insert-posit16 add-log-exp
3×rem-log-exp prod-exp pow-sqr
2×pow2
1×log-prod pow3
Counts
4 → 95
Calls
4 calls:
Slowest
91.0ms
(log (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))
4.0ms
(cbrt (+ (* re re) (* im im)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
163.0ms
(cbrt (+ (* re re) (* im im)))
145.0ms
(cbrt (+ (* re re) (* im im)))
134.0ms
(cbrt (+ (* re re) (* im im)))
70.0ms
(log (* (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im)))))

simplify1.8s

Counts
107 → 107

prune2.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.2b

regimes1.3s

Accuracy

54.5% (10.7b remaining)

Error of 18.0b against oracle of 7.3b and baseline of 30.8b

bsearch321.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8000×body80valid