Details

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize24.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ (atan2 im re) (log 10))

rewrite9.0ms

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:

9.0ms

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

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(/ (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

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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))))

rewrite26.0ms

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)))
19.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series288.0ms

Counts

2 → 6

Calls

2 calls:

174.0ms	(/ (atan2 im re) (sqrt (log 10)))
114.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify1.2s

Counts

140 → 140

Iterations

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

prune521.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite87.0ms

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

Counts

2 → 117

Calls

2 calls:

18.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
65.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series276.0ms

Counts

2 → 6

Calls

2 calls:

171.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
105.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	2003
3	2003
2	1107
1	446
0	160

prune399.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*l/`
43×	`add-exp-log`
27×	`cbrt-div`
25×	`associate-r`
24×	`prod-exp`
21×	`times-frac`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`frac-times` `add-cbrt-cube`
16×	`pow1`
12×	`sqrt-prod` `cbrt-unprod`
7×	`associate-*r/`
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-l` `un-div-inv` `*-commutative` `div-inv`

Counts

4 → 105

Calls

4 calls:

137.0ms	(* (* (* (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re))) (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))) (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))) (/ 1 (sqrt (log 10))))
14.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))
13.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))
13.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))

series1.1s

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* (* (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re))) (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))) (cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))) (/ 1 (sqrt (log 10))))
347.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))
314.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))
351.0ms	(cbrt (* (/ 1 (sqrt (log 10))) (atan2 im re)))

simplify1.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	2002
3	2002
2	1507
1	455
0	155

prune378.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid