Details

Time bar (total: 17.1s)

sample37.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11112
done1112

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (sqrt (+ (* re re) (* im im))))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.7b
(sqrt (+ (* re re) (* im im)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
25×log-pow
24×times-frac
23×pow1
19×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
7×sqrt-pow1 pow1/2
6×add-exp-log log-prod sqrt-div sqrt-prod associate-/l*
5×add-cbrt-cube
4×log-div associate-/r*
3×flip3-+ flip-+ add-log-exp
2×div-sub
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
3 → 82
Calls
3 calls:
15.0ms
(log (sqrt (+ (* re re) (* im im))))
55.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
18.0ms
(sqrt (+ (* re re) (* im im)))

series363.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(log (sqrt (+ (* re re) (* im im))))
225.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
48.0ms
(sqrt (+ (* re re) (* im im)))

simplify4.3s

Counts
91 → 91
Iterations

Useful iterations: 3 (348.0ms)

IterNodesCost
01261514
12321424
24621310
38961292
420031292
546911292
done50001292

prune394.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.5b

localize17.0ms

Local error

Found 3 expressions with local error:

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)))
32.9b
(log (+ (* re re) (* im im)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
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 div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
76.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
24.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
7.0ms
(log (+ (* re re) (* im im)))

series529.0ms

Counts
3 → 9
Calls
3 calls:
191.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
271.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
67.0ms
(log (+ (* re re) (* im im)))

simplify2.0s

Counts
162 → 162
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02053465
15183262
215282913
done50002878

prune631.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize29.0ms

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)))
32.9b
(log (+ (* re re) (* im im)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
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 frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
17.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
5.0ms
(sqrt (sqrt (log 10.0)))
5.0ms
(sqrt (sqrt (log 10.0)))
12.0ms
(log (+ (* re re) (* im im)))

series62.0ms

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)))
62.0ms
(log (+ (* re re) (* im im)))

simplify3.3s

Counts
148 → 148
Iterations

Useful iterations: 4 (720.0ms)

IterNodesCost
01691907
12841670
25301616
39511604
418301603
538791603
done50011603

prune570.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
32.9b
(log (+ (* re re) (* im im)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
46×times-frac
45×add-sqr-sqrt
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*l* add-cbrt-cube
26×associate-*r* sqrt-prod
22×prod-exp
18×pow1
12×cbrt-unprod
11×div-exp
8×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×rec-exp log-prod 1-exp un-div-inv add-log-exp
2×frac-times log-div *-commutative div-inv
1×flip3-+ rem-log-exp associate-*l/ flip-+
Counts
3 → 122
Calls
3 calls:
38.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
81.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
10.0ms
(log (+ (* re re) (* im im)))

series475.0ms

Counts
3 → 9
Calls
3 calls:
231.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
178.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
66.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
131 → 131
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02122728
15262354
215791986
done50001802

prune334.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 9.3b

regimes833.0ms

Accuracy

58.2% (10.4b remaining)

Error of 17.7b against oracle of 7.3b and baseline of 32.1b

bsearch232.0ms

Steps
ItersRangePoint
8
1.0656776998337841e+73
2.1069570435261278e+76
1.2665214372256669e+76
8
-8.88757827843957e-288
-5.138571342544288e-291
-2.4372997740340113e-288
8
-1.3689810004075542e-219
-2.7055579969198535e-224
-4.371006412922919e-223
9
-2.779170551787003e+126
-7.0065691084106e+119
-8.528127276764349e+119

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
053134
169134
done69134

end0.0ms

sample633.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid