Details

Time bar (total: 20.2s)

sample32.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (log (hypot re im)) (log 10.0))

rewrite41.0ms

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:
36.0ms
(/ (log (hypot re im)) (log 10.0))

series225.0ms

Counts
1 → 3
Calls
1 calls:
224.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.1s

Counts
41 → 41
Iterations

Useful iterations: 3 (194.0ms)

IterNodesCost
066496
1117472
2309446
31334442
done5001442

prune228.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

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)))

rewrite106.0ms

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:
78.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
20.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series606.0ms

Counts
2 → 6
Calls
2 calls:
251.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
356.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.3s

Counts
157 → 157
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01762772
14872559
228872246
done50002058

prune452.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 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))))

rewrite153.0ms

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:
83.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
58.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series509.0ms

Counts
2 → 6
Calls
2 calls:
225.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
285.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify7.4s

Counts
128 → 128
Iterations

Useful iterations: 2 (812.0ms)

IterNodesCost
01762206
15161939
240701417
done50011417

prune419.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))))

rewrite44.0ms

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:
33.0ms
(* (/ 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))))

series1.2s

Counts
2 → 6
Calls
2 calls:
644.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
591.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify2.2s

Counts
114 → 114
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01902147
15251967
225301552
done50011528

prune400.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s8000×body80valid