Details

sample97.0ms

Algorithm

intervals

Results

34.0ms	536×	body	80	nan
28.0ms	220×	body	160	nan
17.0ms	256×	body	80	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
7	1307
6	580
5	196
4	68
3	37
2	21
1	17
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (sqrt (fma x x -1))))
0.0b	(+ x (sqrt (fma x x -1)))
32.4b	(sqrt (fma x x -1))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`log-prod` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `sqrt-prod` `insert-posit16` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp` `log-pow`

Counts

3 → 52

Calls

3 calls:

4.0ms	(log (+ x (sqrt (fma x x -1))))
6.0ms	(+ x (sqrt (fma x x -1)))
2.0ms	(sqrt (fma x x -1))

series307.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(log (+ x (sqrt (fma x x -1))))
79.0ms	(+ x (sqrt (fma x x -1)))
51.0ms	(sqrt (fma x x -1))

simplify782.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2000
2	739
1	268
0	119

prune257.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))
0.0b	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
0.1b	(/ (/ 1/8 x) (* x x))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

207×	`times-frac`
203×	`add-sqr-sqrt`
170×	`*-un-lft-identity`
145×	`associate-+r+`
141×	`prod-diff`
118×	`add-cube-cbrt`
41×	`associate--l+`
34×	`difference-of-squares`
23×	`distribute-lft-out--`
18×	`div-inv`
16×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`associate-/l*`
12×	`add-log-exp`
6×	`cbrt-undiv` `log-prod` `div-exp` `distribute-lft-out`
4×	`pow1`
3×	`expm1-log1p-u` `sum-log` `fma-def` `diff-log` `insert-posit16` `log1p-expm1-u`
2×	`log-div` `sub-neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
1×	`+-commutative` `clear-num` `associate-+r-` `associate-/r*` `frac-2neg` `rem-log-exp` `log-pow` `associate-/l/`

Counts

3 → 237

Calls

3 calls:

101.0ms	(log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))
134.0ms	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
14.0ms	(/ (/ 1/8 x) (* x x))

series233.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))
62.0ms	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
53.0ms	(/ (/ 1/8 x) (* x x))

simplify1.0s

Counts

246 → 246

Iterations

Iter	Nodes
done	2000
1	1268
0	528

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
0.0b	(log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))))
0.1b	(/ (/ 1/8 x) (* x x))
1.1b	(exp (log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

207×	`times-frac`
206×	`add-sqr-sqrt`
164×	`*-un-lft-identity`
145×	`associate-+r+`
141×	`prod-diff`
121×	`add-cube-cbrt`
41×	`associate--l+`
34×	`difference-of-squares`
20×	`distribute-lft-out--`
18×	`div-inv`
17×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`associate-/l*` `add-log-exp`
8×	`pow1` `log-prod`
6×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `exp-prod` `exp-sum` `log-pow` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `fma-def` `diff-log` `distribute-lft-out`
2×	`sub-neg` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `clear-num` `associate-+r-` `associate-/r*` `frac-2neg` `flip3-+` `rem-log-exp` `flip-+` `rem-exp-log` `associate-/l/`

Counts

4 → 252

Calls

4 calls:

134.0ms	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
110.0ms	(log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))))
12.0ms	(/ (/ 1/8 x) (* x x))
3.0ms	(exp (log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))
179.0ms	(log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x))))))
47.0ms	(/ (/ 1/8 x) (* x x))
110.0ms	(exp (log (log (+ x (- (- x (/ 1/2 x)) (/ (/ 1/8 x) (* x x)))))))

simplify1.2s

Counts

264 → 264

Iterations

Iter	Nodes
done	2001
1	1413
0	589

prune1.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.6s	16341×	body	80	nan
1.4s	7518×	body	160	nan
765.0ms	8000×	body	80	valid