Details

sample44.0ms

Algorithm

intervals

Results

31.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
1	6
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

4.0ms

(/ (atan2 im re) (log 10))

series66.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ (atan2 im re) (log 10))

simplify4.9s

Counts

35 → 35

Iterations

Iter	Nodes
5	5472
4	1913
3	589
2	235
1	88
0	53

prune207.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (log 10) (atan2 im re)))
0.8b	(/ (log 10) (atan2 im re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
60×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`pow1` `associate-/r*`
16×	`log-pow`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 121

Calls

2 calls:

7.0ms	(/ 1 (/ (log 10) (atan2 im re)))
6.0ms	(/ (log 10) (atan2 im re))

series117.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ 1 (/ (log 10) (atan2 im re)))
57.0ms	(/ (log 10) (atan2 im re))

simplify3.8s

Counts

127 → 127

Iterations

Iter	Nodes
3	2479
2	826
1	349
0	151

prune633.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (log 10) (atan2 im re))
4.7b	(cbrt (/ (log 10) (atan2 im re)))
4.7b	(cbrt (/ (log 10) (atan2 im re)))
4.7b	(cbrt (/ (log 10) (atan2 im re)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-prod` `times-frac`
37×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
13×	`log-pow`
6×	`add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
3×	`cbrt-div` `associate-/r*` `pow1/3`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`

Counts

4 → 110

Calls

4 calls:

10.0ms	(/ (log 10) (atan2 im re))
1.0ms	(cbrt (/ (log 10) (atan2 im re)))
1.0ms	(cbrt (/ (log 10) (atan2 im re)))
2.0ms	(cbrt (/ (log 10) (atan2 im re)))

series498.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (log 10) (atan2 im re))
142.0ms	(cbrt (/ (log 10) (atan2 im re)))
144.0ms	(cbrt (/ (log 10) (atan2 im re)))
159.0ms	(cbrt (/ (log 10) (atan2 im re)))

simplify1.1s

Counts

122 → 122

Iterations

Iter	Nodes
4	2447
3	666
2	301
1	126
0	82

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

1.6b	(* (cbrt (log 10)) (cbrt (log 10)))
4.7b	(cbrt (/ (log 10) (atan2 im re)))
4.7b	(cbrt (/ (log 10) (atan2 im re)))
4.9b	(cbrt (/ (cbrt (log 10)) (atan2 im re)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
50×	`add-sqr-sqrt`
45×	`times-frac`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
26×	`pow1`
15×	`log-pow`
9×	`pow1/3` `swap-sqr`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`cbrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 133

Calls

4 calls:

17.0ms	(* (cbrt (log 10)) (cbrt (log 10)))
3.0ms	(cbrt (/ (log 10) (atan2 im re)))
3.0ms	(cbrt (/ (log 10) (atan2 im re)))
3.0ms	(cbrt (/ (cbrt (log 10)) (atan2 im re)))

series553.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt (log 10)) (cbrt (log 10)))
130.0ms	(cbrt (/ (log 10) (atan2 im re)))
151.0ms	(cbrt (/ (log 10) (atan2 im re)))
271.0ms	(cbrt (/ (cbrt (log 10)) (atan2 im re)))

simplify2.8s

Counts

143 → 143

Iterations

Iter	Nodes
4	4434
3	1603
2	618
1	261
0	161

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes210.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	24
1	24
0	20

end0.0ms

sample803.0ms

Algorithm

intervals

Results

608.0ms

8000×

body

valid