Details

Time bar (total: 15.9s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize8.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
7.0ms
(/ (log (hypot re im)) (log 10.0))

series150.0ms

Counts
1 → 3
Calls
1 calls:
150.0ms
(/ (log (hypot re im)) (log 10.0))

simplify3.0s

Counts
41 → 41
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
066496
1112472
2221444
3405442
4773442
51389442
62918442
done5000442

prune110.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 151
Calls
2 calls:
48.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
9.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series370.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
222.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.6s

Counts
157 → 157
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01762772
14212451
212282062
331572058
done50011962

prune287.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
29×associate-*l*
28×add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 122
Calls
2 calls:
25.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

series365.0ms

Counts
2 → 6
Calls
2 calls:
214.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
151.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

simplify5.3s

Counts
128 → 128
Iterations

Useful iterations: 3 (906.0ms)

IterNodesCost
01762206
13951659
210041160
322691156
449501156
done50001156

prune230.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
14×log-prod
12×add-exp-log
11×pow1
9×unpow-prod-down
7×distribute-rgt-in distribute-lft-in log-pow add-cbrt-cube
5×unswap-sqr
4×associate-*r* prod-exp
3×sqr-pow
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv pow-to-exp rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2
Counts
2 → 108
Calls
2 calls:
31.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
6.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series713.0ms

Counts
2 → 6
Calls
2 calls:
368.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
345.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify1.6s

Counts
114 → 114
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01902147
14241863
210101345
324251293
done50001259

prune246.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11726
done1726

end0.0ms

sample578.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid