Details

sample48.0ms

Algorithm

intervals

Results

33.0ms

256×

body

valid

simplify3.0ms

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

localize22.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

8.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify3.2s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
5	3657
4	1620
3	590
2	237
1	92
0	55

prune142.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (log 10) (atan2 im re)))
0.9b	(/ (log 10) (atan2 im re))

rewrite14.0ms

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×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 125

Calls

2 calls:

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

series131.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ 1 (/ (log 10) (atan2 im re)))
61.0ms	(/ (log 10) (atan2 im re))

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5148
3	2630
2	960
1	357
0	155

prune365.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

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))))

rewrite52.0ms

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×	`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 → 138

Calls

2 calls:

9.0ms	(/ (atan2 im re) (sqrt (log 10)))
39.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series246.0ms

Counts

2 → 6

Calls

2 calls:

173.0ms	(/ (atan2 im re) (sqrt (log 10)))
73.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify2.1s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
3	2811
2	1271
1	440
0	163

prune554.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv`

Counts

2 → 121

Calls

2 calls:

13.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
65.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series261.0ms

Counts

2 → 6

Calls

2 calls:

185.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
75.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify3.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	2564
2	1172
1	448
0	164

prune369.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes180.0ms

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

sample1.3s

Algorithm

intervals

Results

1.1s

8000×

body

valid