Details

sample33.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ (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))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify1.5s

Counts

35 → 35

Iterations

Iter	Nodes
done	2440
5	2440
4	1721
3	609
2	240
1	90
0	53

prune318.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10)))
0.8b	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
85×	`times-frac`
52×	`*-un-lft-identity`
51×	`sqrt-prod`
46×	`add-cube-cbrt`
26×	`add-exp-log`
25×	`associate-r` `associate-l`
16×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`pow1`
10×	`log-pow`
9×	`div-exp`
8×	`prod-exp`
7×	`associate-/r*`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`div-inv` `associate-/l*`
2×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 134

Calls

2 calls:

5.0ms	(/ (atan2 im re) (sqrt (log 10)))
23.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series258.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(/ (atan2 im re) (sqrt (log 10)))
101.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	2003
3	2003
2	1235
1	435
0	159

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.8b	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite92.0ms

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`
28×	`add-cbrt-cube` `associate-l`
26×	`associate-r` `sqrt-prod`
20×	`div-exp`
15×	`pow1`
12×	`cbrt-unprod`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `log-pow`
5×	`associate-*r/` `unswap-sqr`
4×	`pow-prod-down`
3×	`un-div-inv`
2×	`frac-times` `*-commutative` `insert-posit16` `div-inv` `add-log-exp`
1×	`associate-*l/`

Counts

2 → 119

Calls

2 calls:

20.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
70.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series250.0ms

Counts

2 → 6

Calls

2 calls:

177.0ms	(* (atan2 im re) (/ 1 (sqrt (log 10))))
72.0ms	(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	2002
3	2002
2	1045
1	409
0	159

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (/ 1 (sqrt (log 10))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
4.3b	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
4.3b	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
4.3b	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

114×	`cbrt-div`
99×	`associate-*r/`
82×	`frac-times`
57×	`un-div-inv`
43×	`add-exp-log`
29×	`associate-*l/`
25×	`associate-l`
24×	`prod-exp`
21×	`times-frac`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube`
16×	`pow1`
12×	`sqrt-prod` `cbrt-unprod`
6×	`div-exp` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `rec-exp` `pow1/3` `1-exp` `log-pow`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 145

Calls

4 calls:

176.0ms	(* (/ 1 (sqrt (log 10))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
6.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
7.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
6.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (/ 1 (sqrt (log 10))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))))
323.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
322.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))
354.0ms	(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify1.3s

Counts

157 → 157

Iterations

Iter	Nodes
done	2002
3	2002
2	1178
1	516
0	206

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample946.0ms

Algorithm

intervals

Results

772.0ms

8000×

body

valid