Details

sample59.0ms

Algorithm

intervals

Results

44.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	13
0	10

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

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:

6.0ms

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

series220.0ms

Counts

1 → 3

Calls

1 calls:

220.0ms

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

simplify1.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	2000
5	2000
4	1903
3	686
2	283
1	118
0	67

prune438.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b	(/ (log (hypot re im)) (sqrt (log 10)))

rewrite57.0ms

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:

35.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
19.0ms	(/ (log (hypot re im)) (sqrt (log 10)))

series532.0ms

Counts

2 → 6

Calls

2 calls:

256.0ms	(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
276.0ms	(/ (log (hypot re im)) (sqrt (log 10)))

simplify1.2s

Counts

159 → 159

Iterations

Iter	Nodes
done	2003
3	2003
2	1318
1	474
0	178

prune2.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
46×	`times-frac`
45×	`add-sqr-sqrt`
40×	`prod-exp`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
29×	`associate-r`
28×	`add-cbrt-cube`
26×	`associate-l` `sqrt-prod`
20×	`div-exp`
16×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
7×	`log-pow`
6×	`cbrt-undiv` `log-prod`
5×	`unswap-sqr`
4×	`pow-prod-down` `associate-*l/`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv`

Counts

2 → 128

Calls

2 calls:

62.0ms	(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
31.0ms	(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series542.0ms

Counts

2 → 6

Calls

2 calls:

208.0ms	(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
335.0ms	(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

simplify1.1s

Counts

134 → 134

Iterations

Iter	Nodes
done	2001
3	2001
2	1383
1	516
0	193

prune2.0s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b

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

0.3b

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

0.3b

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

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

88×	`sqrt-prod`
67×	`times-frac`
62×	`add-sqr-sqrt`
60×	`associate-r`
52×	`*-un-lft-identity`
50×	`add-cube-cbrt`
49×	`add-exp-log`
31×	`add-cbrt-cube`
29×	`pow1`
28×	`prod-exp`
27×	`associate-l`
16×	`cbrt-unprod`
13×	`associate-*l/`
10×	`sqrt-div` `pow-prod-down` `log-pow`
6×	`frac-times` `log-prod` `div-exp`
5×	`unswap-sqr`
4×	`associate-*r/`
3×	`distribute-rgt-in` `expm1-log1p-u` `cbrt-undiv` `rec-exp` `distribute-lft-in` `1-exp` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

3 → 172

Calls

3 calls:

66.0ms

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

178.0ms

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

15.0ms

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

series1.3s

Counts

3 → 9

Calls

3 calls:

668.0ms

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

279.0ms

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

318.0ms

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

simplify1.4s

Counts

181 → 181

Iterations

Iter	Nodes
done	2012
3	2012
2	1836
1	689
0	260

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.2s

8000×

body

valid