Details

Time bar (total: 18.2s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×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

localize7.0ms

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))

series148.0ms

Counts
1 → 3
Calls
1 calls:
148.0ms
(/ (log (hypot re im)) (log 10.0))

simplify2.9s

Counts
41 → 41
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
066496
1112472
2221444
3405442
4773442
51389442
62918442
done5000442

prune97.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite68.0ms

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:
47.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
12.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series363.0ms

Counts
2 → 6
Calls
2 calls:
147.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
215.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify2.3s

Counts
157 → 157
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01762772
14212451
212282062
331572058
done50011962

prune283.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

rewrite86.0ms

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:
56.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
25.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series379.0ms

Counts
2 → 6
Calls
2 calls:
152.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
227.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify5.5s

Counts
128 → 128
Iterations

Useful iterations: 3 (942.0ms)

IterNodesCost
01762206
13951659
210011160
322441156
449141156
done50001156

prune237.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (log 10.0) (log (hypot re im))))
0.6b
(/ (log 10.0) (log (hypot re im)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
45×pow1
42×log-pow
24×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 144
Calls
2 calls:
12.0ms
(/ 1 (/ (log 10.0) (log (hypot re im))))
7.0ms
(/ (log 10.0) (log (hypot re im)))

series300.0ms

Counts
2 → 6
Calls
2 calls:
151.0ms
(/ 1 (/ (log 10.0) (log (hypot re im))))
149.0ms
(/ (log 10.0) (log (hypot re im)))

simplify4.7s

Counts
150 → 150
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01702370
13351993
26271778
313371752
425931750
545611750
done50011750

prune180.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
done1516

end0.0ms

sample510.0ms

Algorithm
intervals
Results
330.0ms8000×body80valid