Details

sample35.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
done	6	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

12.0ms

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

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify1.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	54	385
1	91	368
2	268	344
3	1356	344
done	5000	344

prune146.0ms

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))))

rewrite75.0ms

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:

7.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
61.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series261.0ms

Counts

2 → 6

Calls

2 calls:

187.0ms	(/ (atan2 im re) (sqrt (log 10.0)))
73.0ms	(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.3s

Counts

142 → 142

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	161	2378
1	451	2203
2	2946	1754
done	5000	1726

prune470.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (sqrt (log 10.0)))
5.9b	(cbrt (atan2 im re))
5.9b	(cbrt (atan2 im re))
5.9b	(cbrt (atan2 im re))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `pow1/3` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow`

Counts

4 → 56

Calls

4 calls:

2.0ms	(cbrt (sqrt (log 10.0)))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))

series188.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt (sqrt (log 10.0)))
55.0ms	(cbrt (atan2 im re))
77.0ms	(cbrt (atan2 im re))
55.0ms	(cbrt (atan2 im re))

simplify1.4s

Counts

66 → 66

Iterations

Useful iterations: 3 (174.0ms)

Iter	Nodes	Cost
0	50	482
1	78	461
2	226	411
3	1259	381
done	5000	381

prune460.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
5.9b	(cbrt (atan2 im re))
5.9b	(cbrt (atan2 im re))
5.9b	(cbrt (atan2 im re))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
41×	`add-sqr-sqrt`
28×	`sqrt-prod`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`pow1`
14×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`pow1/3` `unswap-sqr`
6×	`add-exp-log` `log-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

40.0ms	(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))
1.0ms	(cbrt (atan2 im re))

series196.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
60.0ms	(cbrt (atan2 im re))
60.0ms	(cbrt (atan2 im re))
76.0ms	(cbrt (atan2 im re))

simplify1.0s

Counts

112 → 112

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	77	1191
1	130	1059
2	628	989
done	5000	964

prune536.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes398.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	21	35
done	21	35

end0.0ms

sample831.0ms

Algorithm

intervals

Results

444.0ms

8000×

body

valid