Details

sample81.0ms

Algorithm

intervals

Results

32.0ms	304×	body	80	nan
25.0ms	256×	body	80	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	32
2	32
1	27
0	18

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot re im)
0.3b	(/ (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))
0.6b	(* (log base) (log base))

rewrite23.0ms

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` `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 → 87

Calls

4 calls:

0.0ms	(hypot re im)
6.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma 0.0 0.0 (* (log base) (log base))))
0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
13.0ms	(* (log base) (log base))

series842.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(hypot re im)
384.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (fma 0.0 0.0 (* (log base) (log base))))
179.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
218.0ms	(* (log base) (log base))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2007
2	793
1	305
0	148

prune735.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize53.0ms

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))
0.6b	(* (log base) (log base))
0.6b	(* (log base) (log base))

rewrite28.0ms

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` `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 → 127

Calls

4 calls:

5.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
9.0ms	(* (log base) (log base))
11.0ms	(* (log base) (log base))

series958.0ms

Counts

4 → 12

Calls

4 calls:

378.0ms	(/ (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (sqrt (fma 0.0 0.0 (* (log base) (log base)))))
190.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
176.0ms	(* (log base) (log base))
213.0ms	(* (log base) (log base))

simplify1.8s

Counts

139 → 139

Iterations

Iter	Nodes
done	5000
3	1961
2	761
1	309
0	153

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`pow1` `times-frac`
19×	`add-exp-log`
17×	`associate-r`
13×	`add-cbrt-cube`
7×	`associate-l`
6×	`log-prod` `swap-sqr` `log-pow`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `associate-*r/` `pow-sqr` `un-div-inv` `pow-prod-up` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 119

Calls

4 calls:

4.0ms	(/ 1 (fma 0.0 0.0 (* (log base) (log base))))
11.0ms	(* (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (/ 1 (fma 0.0 0.0 (* (log base) (log base)))))
0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
8.0ms	(* (log base) (log base))

series972.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(/ 1 (fma 0.0 0.0 (* (log base) (log base))))
380.0ms	(* (fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0)) (/ 1 (fma 0.0 0.0 (* (log base) (log base)))))
150.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
177.0ms	(* (log base) (log base))

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	2947
2	1019
1	392
0	175

prune814.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

0.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
1.0ms	(cbrt base)
7.0ms	(cbrt base)
1.0ms	(cbrt base)

series909.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(fma (log base) (log (hypot re im)) (* (atan2 im re) 0.0))
240.0ms	(cbrt base)
218.0ms	(cbrt base)
246.0ms	(cbrt base)

simplify1.6s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
4	1584
3	470
2	191
1	100
0	59

prune559.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes531.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
1.3s	8039×	body	80	nan