Details

sample147.0ms

Algorithm

intervals

Results

62.0ms	264×	body	80	nan
44.0ms	256×	body	80	valid

simplify97.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
6	106
5	102
4	88
3	68
2	52
1	31
0	18

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot im re)
0.4b	(/ (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(* (log base) (atan2 im re))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
7×	`pow1`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `hypot-udef` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

0.0ms	(hypot im re)
33.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
6.0ms	(* (log base) (atan2 im re))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series636.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(hypot im re)
166.0ms	(/ (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
43.0ms	(* (log base) (atan2 im re))
369.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	1150
1	307
0	137

prune856.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (fma (log base) (log base) (* 0.0 0.0)))
0.4b	(* (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (/ 1 (fma (log base) (log base) (* 0.0 0.0))))
0.4b	(* (log base) (atan2 im re))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
10×	`pow1`
7×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3--` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `flip--`
1×	`clear-num` `frac-2neg` `associate-*r/` `log-pow` `un-div-inv` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 106

Calls

4 calls:

4.0ms	(/ 1 (fma (log base) (log base) (* 0.0 0.0)))
34.0ms	(* (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (/ 1 (fma (log base) (log base) (* 0.0 0.0))))
12.0ms	(* (log base) (atan2 im re))
1.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

469.0ms	(/ 1 (fma (log base) (log base) (* 0.0 0.0)))
180.0ms	(* (- (* (log base) (atan2 im re)) (* (log (hypot im re)) 0.0)) (/ 1 (fma (log base) (log base) (* 0.0 0.0))))
54.0ms	(* (log base) (atan2 im re))
381.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	2106
1	398
0	172

prune825.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (fma (log base) (log base) (* 0.0 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log`
5×	`fma-udef`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-r` `associate-l`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 59

Calls

4 calls:

6.0ms	(* (fma (log base) (log base) (* 0.0 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

336.0ms	(* (fma (log base) (log base) (* 0.0 0.0)) (fma (log base) (log base) (* 0.0 0.0)))
417.0ms	(fma (log base) (log base) (* 0.0 0.0))
381.0ms	(fma (log base) (log base) (* 0.0 0.0))
360.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
3	4756
2	613
1	141
0	60

prune649.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))
0.6b	(fma (log base) (log base) (* 0.0 0.0))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))
0.0ms	(fma (log base) (log base) (* 0.0 0.0))

series1.5s

Counts

4 → 12

Calls

4 calls:

390.0ms	(fma (log base) (log base) (* 0.0 0.0))
364.0ms	(fma (log base) (log base) (* 0.0 0.0))
373.0ms	(fma (log base) (log base) (* 0.0 0.0))
371.0ms	(fma (log base) (log base) (* 0.0 0.0))

simplify2.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
4	3752
3	660
2	171
1	60
0	31

prune431.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

regimes528.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	8087×	body	80	nan
1.2s	8000×	body	80	valid