Details

sample42.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify4.0ms

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

localize28.0ms

Local error

Found 1 expressions with local error:

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

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` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

9.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify3.7s

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
5	2804
4	1096
3	544
2	209
1	92
0	55

prune170.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))))

rewrite44.0ms

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:

11.0ms	(/ (atan2 im re) (sqrt (log 10)))
29.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series247.0ms

Counts

2 → 6

Calls

2 calls:

158.0ms	(/ (atan2 im re) (sqrt (log 10)))
89.0ms	(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify2.5s

Counts

144 → 144

Iterations

Iter	Nodes
done	5000
3	3085
2	1325
1	440
0	163

prune565.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.8b	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

rewrite90.0ms

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:

15.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
72.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series219.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(* (/ 1 (sqrt (log 10))) (atan2 im re))
64.0ms	(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify2.8s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
3	2704
2	1205
1	448
0	164

prune332.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.4b	(log1p (expm1 (/ (atan2 im re) (log 10))))
0.6b	(expm1 (/ (atan2 im re) (log 10)))
0.9b	(/ (atan2 im re) (log 10))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*` `log-pow` `log1p-expm1-u`
3×	`expm1-log1p-u` `insert-posit16` `associate-/l*` `add-log-exp`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `div-exp` `log1p-expm1` `div-inv` `expm1-udef`

Counts

3 → 58

Calls

3 calls:

0.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
1.0ms	(expm1 (/ (atan2 im re) (log 10)))
6.0ms	(/ (atan2 im re) (log 10))

series284.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(log1p (expm1 (/ (atan2 im re) (log 10))))
109.0ms	(expm1 (/ (atan2 im re) (log 10)))
74.0ms	(/ (atan2 im re) (log 10))

simplify2.5s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
5	3214
4	1075
3	508
2	242
1	120
0	77

prune206.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample732.0ms

Algorithm

intervals

Results

577.0ms

8000×

body

valid