Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize18.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ (atan2 im re) (log 10.0))

rewrite10.0ms

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` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

9.0ms

(/ (atan2 im re) (log 10.0))

series115.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

(/ (atan2 im re) (log 10.0))

simplify1.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	1224
2	265
1	91
0	54

prune197.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.8b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite95.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 136

Calls

2 calls:

11.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
72.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series275.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
88.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.3s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	2828
1	453
0	162

prune535.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (sqrt (/ 1 (log 10.0))) (atan2 im re))
0.8b	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
1.0b	(/ 1 (log 10.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
45×	`add-sqr-sqrt`
44×	`associate-l`
37×	`*-un-lft-identity`
36×	`add-cube-cbrt`
31×	`add-exp-log` `sqrt-prod`
21×	`pow1`
19×	`add-cbrt-cube`
13×	`prod-exp`
10×	`log-pow`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`associate-/r` `associate-r` `pow-prod-down` `associate-l/` `unswap-sqr`
3×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
2×	`*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `pow-flip` `inv-pow`

Counts

3 → 130

Calls

3 calls:

29.0ms	(* (sqrt (/ 1 (log 10.0))) (atan2 im re))
64.0ms	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
5.0ms	(/ 1 (log 10.0))

series240.0ms

Counts

3 → 7

Calls

3 calls:

162.0ms	(* (sqrt (/ 1 (log 10.0))) (atan2 im re))
78.0ms	(* (/ 1 (sqrt (log 10.0))) (* (sqrt (/ 1 (log 10.0))) (atan2 im re)))
0.0ms	(/ 1 (log 10.0))

simplify2.7s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2509
1	398
0	167

prune643.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(log1p (expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))))
0.6b	(expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0)))))
0.8b	(* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))
1.0b	(/ 1 (log 10.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

241×	`times-frac`
198×	`sqrt-prod`
144×	`add-sqr-sqrt`
137×	`associate-r`
118×	`*-un-lft-identity`
116×	`add-cube-cbrt`
51×	`pow1`
44×	`log-pow`
13×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`div-inv` `unswap-sqr`
5×	`log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r*` `add-log-exp`
3×	`div-exp` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `prod-exp` `cbrt-unprod`
1×	`rec-exp` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `log1p-expm1` `associate-r/` `-commutative` `pow-flip` `inv-pow` `expm1-udef`

Counts

4 → 224

Calls

4 calls:

0.0ms	(log1p (expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))))
0.0ms	(expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0)))))
73.0ms	(* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))
5.0ms	(/ 1 (log 10.0))

series336.0ms

Counts

4 → 10

Calls

4 calls:

123.0ms	(log1p (expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))))
122.0ms	(expm1 (* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0)))))
91.0ms	(* (atan2 im re) (/ (sqrt (/ 1 (log 10.0))) (sqrt (log 10.0))))
0.0ms	(/ 1 (log 10.0))

simplify404.0ms

Counts

234 → 234

Iterations

Iter	Nodes
done	5000
1	652
0	274

prune922.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample835.0ms

Algorithm

intervals

Results

485.0ms

8000×

body

valid