Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify4.0ms

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

localize17.0ms

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:

8.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify3.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
5	3577
4	1641
3	591
2	236
1	91
0	54

prune225.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite69.0ms

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:

10.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
51.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series227.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
81.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
3	2770
2	1251
1	440
0	162

prune664.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.8b	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

rewrite113.0ms

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

Counts

2 → 119

Calls

2 calls:

23.0ms	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
86.0ms	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series257.0ms

Counts

2 → 6

Calls

2 calls:

178.0ms	(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
78.0ms	(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify3.8s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2571
2	1134
1	446
0	162

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/` `pow-flip` `inv-pow`

Counts

2 → 123

Calls

2 calls:

9.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
6.0ms	(/ (log 10.0) (atan2 im re))

series128.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ 1 (/ (log 10.0) (atan2 im re)))
57.0ms	(/ (log 10.0) (atan2 im re))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5009
3	2639
2	962
1	355
0	153

prune444.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes274.0ms

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

sample578.0ms

Algorithm

intervals

Results

326.0ms

8000×

body

valid