Details

sample35.0ms

Algorithm

intervals

Results

17.0ms

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

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

11.0ms

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

series121.0ms

Counts

1 → 3

Calls

1 calls:

121.0ms

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

simplify5.2s

Counts

36 → 36

Iterations

Iter	Nodes
done	5013
5	4418
4	1660
3	585
2	232
1	91
0	54

prune276.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (atan2 im re) (sqrt (log 10.0)))
0.7b	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite129.0ms

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` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 136

Calls

2 calls:

22.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
92.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series330.0ms

Counts

2 → 6

Calls

2 calls:

221.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
109.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify4.1s

Counts

142 → 142

Iterations

Iter	Nodes
done	5002
3	2749
2	1246
1	438
0	161

prune852.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.7b	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

rewrite252.0ms

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×	`associate-r` `add-cbrt-cube`
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` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/` `un-div-inv`

Counts

2 → 119

Calls

2 calls:

62.0ms	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
171.0ms	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series339.0ms

Counts

2 → 6

Calls

2 calls:

218.0ms	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
121.0ms	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify5.6s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2513
2	1216
1	446
0	162

prune708.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
0.6b	(expm1 (/ (atan2 im re) (log 10.0)))
0.8b	(/ (atan2 im re) (log 10.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`pow1`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*` `log-pow` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-/l*` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 55

Calls

3 calls:

1.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
1.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
12.0ms	(/ (atan2 im re) (log 10.0))

series518.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(log1p (expm1 (/ (atan2 im re) (log 10.0))))
189.0ms	(expm1 (/ (atan2 im re) (log 10.0)))
137.0ms	(/ (atan2 im re) (log 10.0))

simplify5.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
5	4655
4	1694
3	625
2	291
1	120
0	74

prune431.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes503.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.0s

8000×

body

valid