Details

Time bar (total: 13.1s)

sample41.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.2b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.7b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
28.7b
(sqrt (+ (* re re) (* im im)))

rewrite69.0ms

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-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg div-exp div-inv
Counts
3 → 74
Calls
3 calls:
22.0ms
(+ (* re re) (* im im))
26.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
16.0ms
(sqrt (+ (* re re) (* im im)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* re re) (* im im))
194.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
74.0ms
(sqrt (+ (* re re) (* im im)))

simplify995.0ms

Counts
83 → 83
Iterations
IterNodes
done5001
21092
1277
0125

prune514.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
29.9b
(log (+ (* re re) (* im im)))

rewrite86.0ms

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 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 → 164
Calls
4 calls:
6.0ms
(+ (* re re) (* im im))
38.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
26.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

series617.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* re re) (* im im))
209.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
283.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
86.0ms
(log (+ (* re re) (* im im)))

simplify2.0s

Counts
176 → 176
Iterations
IterNodes
done5000
23117
1605
0214

prune951.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
29.9b
(log (+ (* re re) (* im im)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×*-un-lft-identity add-cube-cbrt
33×cbrt-prod
18×pow1
10×associate-/r* log-pow
8×sqrt-pow1
7×add-exp-log
6×associate-/l*
5×add-cbrt-cube
4×rem-sqrt-square pow1/2 add-log-exp
3×log-prod
2×log-div
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp rem-log-exp flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
15.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
4.0ms
(sqrt (sqrt (log 10.0)))
4.0ms
(sqrt (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

series66.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
66.0ms
(log (+ (* re re) (* im im)))

simplify1.8s

Counts
148 → 148
Iterations
IterNodes
done5000
32293
2848
1288
0169

prune823.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.9b

localize78.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
1.0b
(sqrt (cbrt (log 10.0)))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
29.9b
(log (+ (* re re) (* im im)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
27×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×add-cube-cbrt
12×add-exp-log
9×swap-sqr sqrt-prod
8×log-pow
7×add-cbrt-cube pow1/3 associate-*r* associate-*l*
4×associate-/r* times-frac add-log-exp unswap-sqr
3×log-prod
2×cbrt-undiv rem-sqrt-square log-div sqrt-pow1 div-exp pow-prod-down prod-exp pow-sqr pow-prod-up cbrt-unprod
1×pow2 clear-num frac-2neg flip3-+ pow-plus pow1/2 rem-log-exp *-commutative flip-+ div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
28.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
4.0ms
(sqrt (cbrt (log 10.0)))
11.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
5.0ms
(log (+ (* re re) (* im im)))

series69.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
0.0ms
(sqrt (cbrt (log 10.0)))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
69.0ms
(log (+ (* re re) (* im im)))

simplify1.6s

Counts
107 → 107
Iterations
IterNodes
done5000
21273
1332
0147

prune839.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.9b

regimes946.0ms

Accuracy

57.9% (10.1b remaining)

Error of 17.4b against oracle of 7.3b and baseline of 31.4b

bsearch151.0ms

Steps
ItersRangePoint
8
2.0081831682580294e+141
7.125568374099785e+144
3.466359063004586e+143
9
-1.6938002153937483e+104
-4.084920897753177e+97
-9.68163596973406e+102

simplify11.0ms

Iterations
IterNodes
done51
151
040

end0.0ms

sample936.0ms

Algorithm
intervals
Results
726.0ms8000×body80valid