Details

Time bar (total: 18.3s)

sample34.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.9b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
30.4b
(sqrt (+ (* re re) (* im im)))

rewrite52.0ms

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:
7.0ms
(+ (* re re) (* im im))
36.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
8.0ms
(sqrt (+ (* re re) (* im im)))

series288.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (* re re) (* im im))
177.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
60.0ms
(sqrt (+ (* re re) (* im im)))

simplify916.0ms

Counts
86 → 86
Iterations
IterNodes
done5001
21123
1280
0128

prune528.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
31.6b
(log (+ (* 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:
13.0ms
(+ (* re re) (* im im))
34.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
42.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(+ (* re re) (* im im))
180.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
265.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
78.0ms
(log (+ (* re re) (* im im)))

simplify1.7s

Counts
180 → 180
Iterations
IterNodes
done5000
23026
1606
0218

prune930.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.3b

localize86.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10))
1.0b
(cbrt (log 10))
1.6b
(* (cbrt (log 10)) (cbrt (log 10)))
31.6b
(log (+ (* re re) (* im im)))

rewrite42.0ms

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:
2.0ms
(cbrt (log 10))
2.0ms
(cbrt (log 10))
25.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))

series75.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))
0.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
74.0ms
(log (+ (* re re) (* im im)))

simplify3.9s

Counts
93 → 93
Iterations
IterNodes
done5001
33562
2629
1212
099

prune669.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.3b

localize66.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
0.4b
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
31.6b
(log (+ (* re re) (* im im)))

rewrite154.0ms

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:
79.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
28.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
31.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
12.0ms
(log (+ (* re re) (* im im)))

series1.4s

Counts
4 → 12
Calls
4 calls:
294.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10)))))
712.0ms
(* (sqrt (/ 1/2 (sqrt (log 10)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
289.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
62.0ms
(log (+ (* re re) (* im im)))

simplify2.5s

Counts
223 → 223
Iterations
IterNodes
done5001
24232
1682
0273

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.3b

regimes885.0ms

Accuracy

54.5% (10.7b remaining)

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

bsearch301.0ms

Steps
ItersRangePoint
8
1.0202913897586463e+104
3.251572119276446e+106
6.756828864494474e+105
3
1.3373501688296423e-158
1.7803579200561248e-158
1.475790091087918e-158
8
-6.1523601201211696e-260
-6.799895552032405e-263
-7.44826331886994e-262
8
-2.0044150779320932e+149
-2.2413447426054597e+145
-1.2627952124883404e+147

simplify15.0ms

Iterations
IterNodes
done75
175
060

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.6s8000×body80valid