Details

Time bar (total: 24.0s)

sample39.0ms

Algorithm
intervals
Results
28.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
113
010

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (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:
6.0ms
(/ (log (hypot re im)) (log 10))

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(/ (log (hypot re im)) (log 10))

simplify1.1s

Counts
42 → 42
Iterations
IterNodes
42001
3671
2280
1117
067

prune380.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
43.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
15.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series523.0ms

Counts
2 → 6
Calls
2 calls:
219.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
303.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify4.1s

Counts
159 → 159
Iterations
IterNodes
33382
21421
1471
0178

prune1.8s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))))

rewrite67.0ms

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:
13.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
52.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

series599.0ms

Counts
2 → 6
Calls
2 calls:
368.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
231.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))

simplify2.4s

Counts
130 → 130
Iterations
IterNodes
32799
21190
1450
0178

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×pow1
28×prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×associate-*l/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 173
Calls
3 calls:
13.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
35.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
135.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

series1.7s

Counts
3 → 9
Calls
3 calls:
313.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
752.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
648.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

simplify5.2s

Counts
182 → 182
Iterations
IterNodes
34871
21673
1605
0237

prune2.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
219
119
015

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid