Details

Time bar (total: 16.7s)

sample37.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify27.0ms

Counts
1 → 1

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize35.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
6.0ms
(/ (log (hypot re im)) (log 10))

series207.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
207.0ms
(/ (log (hypot re im)) (log 10))

simplify3.1s

Counts
42 → 42

prune394.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log 10) (log (hypot re im)))
0.2b
(/ 1 (/ (log 10) (log (hypot re im))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 146
Calls
2 calls:
Slowest
7.0ms
(/ 1 (/ (log 10) (log (hypot re im))))
6.0ms
(/ (log 10) (log (hypot re im)))

series421.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
211.0ms
(/ (log 10) (log (hypot re im)))
210.0ms
(/ 1 (/ (log 10) (log (hypot re im))))

simplify842.0ms

Counts
152 → 152

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite61.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
Slowest
41.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
15.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series550.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
327.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
224.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify2.3s

Counts
159 → 159

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 124
Calls
2 calls:
Slowest
58.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
26.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series491.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
285.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
206.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify1.8s

Counts
130 → 130

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid