Details

Time bar (total: 9.8s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11112
done1112

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
30.2b
(sqrt (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
3.0ms
(+ (* re re) (* im im))
14.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
132.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: 3 (372.0ms)

IterNodesCost
01251357
12551281
26811165
320761163
done50001163

prune229.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
31.4b
(log (+ (* re re) (* im im)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×add-cube-cbrt *-un-lft-identity
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×+-commutative frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 164
Calls
4 calls:
3.0ms
(+ (* re re) (* im im))
32.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
10.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series412.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
147.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
186.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
52.0ms
(log (+ (* re re) (* im im)))

simplify861.0ms

Counts
176 → 176
Iterations

Useful iterations: done (850.0ms)

IterNodesCost
02143631
15623427
216973032
done50002997

prune406.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.3b

localize19.0ms

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)))
31.4b
(log (+ (* re re) (* im im)))

rewrite18.0ms

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:
6.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
2.0ms
(sqrt (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series53.0ms

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)))
53.0ms
(log (+ (* re re) (* im im)))

simplify2.2s

Counts
148 → 148
Iterations

Useful iterations: 4 (504.0ms)

IterNodesCost
01691907
12841670
25281616
310641604
419611603
537001603
done50001603

prune429.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0))))
1.0b
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
31.4b
(log (+ (* re re) (* im im)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×pow1
24×cbrt-prod
23×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
12×add-exp-log pow1/3
9×sqrt-pow1 swap-sqr
7×associate-*r* associate-*l* log-pow add-cbrt-cube
4×times-frac pow-prod-down associate-/r* pow-sqr pow-prod-up add-log-exp unswap-sqr
3×log-prod sqrt-prod
2×cbrt-undiv pow2 log-div pow-plus div-exp prod-exp cbrt-unprod
1×rem-sqrt-square frac-2neg flip3-+ pow1/2 rem-log-exp clear-num *-commutative flip-+ div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
3.0ms
(sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0))))
9.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
10.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series48.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0))))
0.0ms
(/ (* (cbrt 1/2) (cbrt 1/2)) (sqrt (* (cbrt (log 10.0)) (cbrt (log 10.0)))))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
48.0ms
(log (+ (* re re) (* im im)))

simplify1.9s

Counts
107 → 107
Iterations

Useful iterations: 3 (597.0ms)

IterNodesCost
01411329
12961039
2745929
32558884
done5000884

prune548.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.2b

regimes523.0ms

Accuracy

57.2% (10.7b remaining)

Error of 18.2b against oracle of 7.5b and baseline of 32.6b

bsearch173.0ms

Steps
ItersRangePoint
8
1.5491720421655856e+95
6.147715137559524e+97
3.6267478666816686e+95
9
7.706953421200024e-257
1.6912454235390481e-248
8.204570037731928e-249
5
-4.555045930326338e-177
-1.9154334448410318e-177
-1.971567869430071e-177
9
-1.0311234165817051e+145
-1.4395777107888637e+138
-4.7575996220618e+138

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
058132
174132
done74132

end0.0ms

sample498.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid