Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	10	12
1	13	7
2	15	7
done	15	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(hypot re im)
0.5b	(/ (log (hypot re im)) (log 10.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

16×	`times-frac`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`log-pow`
4×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `hypot-udef` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

2 → 48

Calls

2 calls:

0.0ms	(hypot re im)
5.0ms	(/ (log (hypot re im)) (log 10.0))

series209.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(hypot re im)
162.0ms	(/ (log (hypot re im)) (log 10.0))

simplify2.5s

Counts

54 → 54

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	78	556
1	132	530
2	276	496
3	577	494
4	1246	494
5	2375	494
done	5002	494

prune138.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
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)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

99×	`times-frac`
97×	`add-sqr-sqrt`
59×	`sqrt-prod`
57×	`*-un-lft-identity`
51×	`add-cube-cbrt`
32×	`pow1` `associate-r`
27×	`add-exp-log` `log-pow`
25×	`associate-l`
17×	`add-cbrt-cube`
15×	`unswap-sqr`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod` `associate-/l*`
3×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`frac-times` `hypot-udef` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 161

Calls

3 calls:

0.0ms	(hypot re im)
35.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
4.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

series430.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(hypot re im)
156.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
223.0ms	(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify1.2s

Counts

170 → 170

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	188	2832
1	469	2573
2	1766	2114
done	5000	2114

prune337.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(hypot re im)
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))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
46×	`times-frac`
44×	`add-sqr-sqrt`
40×	`prod-exp`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`associate-l` `add-cbrt-cube`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
17×	`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×	`expm1-log1p-u` `un-div-inv` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `*-commutative` `div-inv`
1×	`hypot-udef` `associate-*l/`

Counts

3 → 132

Calls

3 calls:

0.0ms	(hypot re im)
29.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
17.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series442.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(hypot re im)
156.0ms	(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
234.0ms	(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify4.3s

Counts

141 → 141

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	188	2266
1	463	1791
2	1592	1212
3	3688	1208
done	5001	1208

prune283.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.0b	(hypot re im)
0.2b	(* (/ 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))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity`
40×	`add-cube-cbrt`
26×	`sqrt-prod`
25×	`pow-unpow` `associate-l`
21×	`log-prod`
16×	`add-exp-log`
13×	`pow1`
12×	`unpow-prod-down`
9×	`add-cbrt-cube`
8×	`log-pow`
7×	`distribute-rgt-in` `distribute-lft-in`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `associate-r` `prod-exp` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`rem-log-exp`
2×	`pow-to-exp` `hypot-udef` `div-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`cbrt-undiv` `rec-exp` `pow-pow` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `sqrt-pow2`

Counts

4 → 138

Calls

4 calls:

2.0ms	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.0ms	(hypot re im)
17.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

331.0ms	(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
47.0ms	(hypot re im)
382.0ms	(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
371.0ms	(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify171.0ms

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	202	2533
1	465	2296