Details

sample83.0ms

Algorithm

intervals

Results

19.0ms	192×	body	80	valid
13.0ms	25×	body	1280	valid
10.0ms	131×	body	80	nan
10.0ms	25×	body	640	valid
5.0ms	11×	body	1280	nan
4.0ms	12×	body	640	nan
2.0ms	8×	body	320	valid
2.0ms	8×	body	320	nan
1.0ms	6×	body	160	valid
1.0ms	5×	body	160	nan

simplify220.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	330
12	330
11	328
10	312
9	273
8	189
7	109
6	94
5	84
4	66
3	41
2	29
1	19
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
184×	`*-un-lft-identity`
105×	`prod-diff`
103×	`times-frac`
91×	`add-cube-cbrt`
49×	`difference-of-squares`
47×	`distribute-lft-out--`
12×	`log-prod`
9×	`pow1` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-exp-log` `add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `associate--r+`
5×	`associate-/r` `log-pow` `associate-/l`
4×	`expm1-log1p-u` `log-div` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp`

Counts

4 → 231

Calls

4 calls:

31.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
20.0ms	(/ (- x y) (- 1.0 y))
25.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
33.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
55.0ms	(/ (- x y) (- 1.0 y))
71.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
108.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.6s

Counts

243 → 243

Iterations

Iter	Nodes
done	5003
2	2888
1	1028
0	393

prune891.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1 (- 1.0 y)) (- x y))
2.9b	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y))))
3.4b	(log (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y)))) (fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))))
25.1b	(fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
27×	`add-cube-cbrt`
21×	`associate-l`
18×	`prod-diff`
17×	`times-frac`
14×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-cbrt-cube`
7×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `log-prod` `prod-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`frac-times` `log-div` `sub-neg` `div-exp` `associate-*r/` `associate-/r/` `cbrt-unprod` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `rem-log-exp` `pow-prod-down` `associate-l/` `log-pow` `-commutative` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 114

Calls

4 calls:

39.0ms	(* (/ 1 (- 1.0 y)) (- x y))
0.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y))))
5.0ms	(log (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y)))) (fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))))
0.0ms	(fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (/ 1 (- 1.0 y)) (- x y))
127.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y))))
312.0ms	(log (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 (- 1.0 y)) (- x y)))) (fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))))
127.0ms	(fma (- (/ 1 (- 1.0 y))) (- x y) (* (/ 1 (- 1.0 y)) (- x y)))

simplify1.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1590
1	644
0	256

prune662.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.1b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.1b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

278×	`add-sqr-sqrt`
266×	`*-un-lft-identity`
186×	`prod-diff`
154×	`times-frac`
138×	`add-cube-cbrt`
68×	`difference-of-squares`
64×	`distribute-lft-out--`
18×	`log-prod`
12×	`associate-/r/` `sqrt-prod`
10×	`flip3--` `flip--`
8×	`pow1` `add-log-exp`
6×	`fma-neg` `add-exp-log` `log-pow` `div-inv`
4×	`expm1-log1p-u` `log-div` `add-cbrt-cube` `sqrt-div` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 280

Calls

4 calls:

31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
26.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
26.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
80.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
193.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
170.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.7s

Counts

292 → 292

Iterations

Iter	Nodes
done	5001
2	2134
1	794
0	325

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
144×	`times-frac`
102×	`add-cube-cbrt`
93×	`prod-diff`
58×	`difference-of-squares`
50×	`distribute-lft-out--`
24×	`log-prod`
12×	`associate-/r/`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`flip3--` `add-cbrt-cube` `flip--` `associate-/l*`
6×	`div-inv` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `rem-log-exp` `associate-/l/`
1×	`log-div` `sub-neg` `diff-log` `log-pow` `associate--r-`

Counts

4 → 252

Calls

4 calls:

24.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
19.0ms	(/ (- x y) (- 1.0 y))
46.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
30.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
51.0ms	(/ (- x y) (- 1.0 y))
165.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
76.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify3.2s

Counts

264 → 264

Iterations

Iter	Nodes
done	5001
2	3242
1	1126
0	437

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes299.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 16.9b

bsearch1.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	20
0	20

end0.0ms

sample3.6s

Algorithm

intervals

Results

784.0ms	3674×	body	80	nan
769.0ms	5636×	body	80	valid
507.0ms	849×	body	1280	valid
432.0ms	823×	body	640	valid
287.0ms	380×	body	1280	nan
173.0ms	440×	body	320	valid
160.0ms	382×	body	640	nan
136.0ms	232×	body	320	nan
54.0ms	252×	body	160	valid
28.0ms	126×	body	160	nan