Details

Time bar (total: 14.9s)

sample48.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations
IterNodes
done11
111
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
27.8b
(sqrt (+ (* re re) (* im im)))

rewrite48.0ms

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:
8.0ms
(+ (* re re) (* im im))
33.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
6.0ms
(sqrt (+ (* re re) (* im im)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* re re) (* im im))
180.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))
48.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.9s

Counts
86 → 86
Iterations
IterNodes
done5002
32284
2690
1265
0128

prune506.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.7b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
28.9b
(log (+ (* re re) (* im im)))

rewrite74.0ms

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:
14.0ms
(+ (* re re) (* im im))
24.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
24.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
6.0ms
(log (+ (* re re) (* im im)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* re re) (* im im))
227.0ms
(* (/ 1/2 (sqrt (log 10))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10))))
263.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10)))
71.0ms
(log (+ (* re re) (* im im)))

simplify2.1s

Counts
180 → 180
Iterations
IterNodes
done5001
21932
1586
0218

prune741.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.6b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
28.9b
(log (+ (* re re) (* im im)))

rewrite66.0ms

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:
7.0ms
(+ (* re re) (* im im))
18.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
33.0ms
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
6.0ms
(log (+ (* re re) (* im im)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* re re) (* im im))
263.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10))))
224.0ms
(* (/ 1/2 (sqrt (log 10))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10)))))
62.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
149 → 149
Iterations
IterNodes
done5000
22036
1599
0225

prune647.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize76.0ms

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)))
28.9b
(log (+ (* re re) (* im im)))

rewrite34.0ms

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))
18.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
11.0ms
(log (+ (* re re) (* im im)))

series92.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10))
0.0ms
(cbrt (log 10))
0.0ms
(* (cbrt (log 10)) (cbrt (log 10)))
91.0ms
(log (+ (* re re) (* im im)))

simplify2.6s

Counts
93 → 93
Iterations
IterNodes
done5000
42527
31107
2503
1219
0102

prune605.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.6b

regimes729.0ms

Accuracy

57.3% (10.1b remaining)

Error of 17.4b against oracle of 7.3b and baseline of 30.9b

bsearch276.0ms

Steps
ItersRangePoint
8
4.655344207363534e+75
1.7216355468704986e+78
1.7061266383920343e+78
7
-2.0532513024068487e-267
-2.9454520937674122e-269
-6.376038522303672e-268
8
-4.568831681868796e-196
-5.423740348214345e-199
-5.7290891404837934e-198
6
-1.7282008439594638e+90
-3.893829520356061e+89
-1.7109531485520302e+90

simplify18.0ms

Iterations
IterNodes
done69
169
055

end0.0ms

sample869.0ms

Algorithm
intervals
Results
715.0ms8000×body80valid