Details

sample152.0ms

Algorithm

intervals

Results

71.0ms	284×	body	80	nan
42.0ms	256×	body	80	valid

simplify79.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
2	32
1	27
0	18

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize122.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.4b	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma 0.0 0.0 (* (log base) (log base))))
0.4b	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
0.5b	(* (log base) (log base))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`add-cube-cbrt`
17×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
6×	`log-prod` `swap-sqr` `log-pow`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `associate-/l`
1×	`pow2` `cbrt-undiv` `hypot-udef` `clear-num` `frac-2neg` `pow-plus` `div-exp` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(hypot re im)
24.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma 0.0 0.0 (* (log base) (log base))))
3.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
43.0ms	(* (log base) (log base))

series1.6s

Counts

4 → 12

Calls

4 calls:

92.0ms	(hypot re im)
853.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma 0.0 0.0 (* (log base) (log base))))
354.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
310.0ms	(* (log base) (log base))

simplify4.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	2040
2	761
1	309
0	152

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize236.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
0.4b	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
0.5b	(* (log base) (log base))
0.5b	(* (log base) (log base))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
30×	`pow1`
18×	`times-frac`
12×	`log-prod` `swap-sqr` `log-pow` `sqrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 131

Calls

4 calls:

28.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
4.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
26.0ms	(* (log base) (log base))
29.0ms	(* (log base) (log base))

series1.9s

Counts

4 → 12

Calls

4 calls:

854.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
367.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
296.0ms	(* (log base) (log base))
341.0ms	(* (log base) (log base))

simplify4.8s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
3	1869
2	723
1	312
0	156

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize228.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
0.4b	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
0.5b	(* (log base) (log base))
0.5b	(* (log base) (log base))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
30×	`pow1`
18×	`times-frac`
12×	`log-prod` `swap-sqr` `log-pow` `sqrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `associate-/r*` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 131

Calls

4 calls:

25.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
3.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
47.0ms	(* (log base) (log base))
22.0ms	(* (log base) (log base))

series1.6s

Counts

4 → 12

Calls

4 calls:

813.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
282.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
232.0ms	(* (log base) (log base))
278.0ms	(* (log base) (log base))

simplify4.7s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
3	1869
2	723
1	312
0	156

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize243.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (sqrt (fma 0.0 0.0 (* (log base) (log base)))) (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)))
0.4b	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
0.5b	(* (log base) (log base))
0.5b	(* (log base) (log base))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
30×	`pow1`
18×	`times-frac`
12×	`log-prod` `swap-sqr` `log-pow` `sqrt-prod`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`pow2` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

4 → 131

Calls

4 calls:

31.0ms	(/ (sqrt (fma 0.0 0.0 (* (log base) (log base)))) (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)))
3.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
41.0ms	(* (log base) (log base))
22.0ms	(* (log base) (log base))

series1.9s

Counts

4 → 12

Calls

4 calls:

1.0s	(/ (sqrt (fma 0.0 0.0 (* (log base) (log base)))) (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)))
352.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
266.0ms	(* (log base) (log base))
231.0ms	(* (log base) (log base))

simplify4.8s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
3	1877
2	809
1	318
0	157

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	20
1	20
0	17

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.7s	8090×	body	80	nan
1.4s	8000×	body	80	valid