Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true
3.0ms	232×	pre	80	false

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1622
4	330
3	103
2	48
1	19
0	8

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `sqrt-prod`
2×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

2.0ms

(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

simplify1.3s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
8	1171
7	436
6	243
5	146
4	93
3	66
2	44
1	33
0	24

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))))
0.0b	(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
0.0b	(log (exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`exp-prod`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
7×	`log-pow`
5×	`pow1`
4×	`add-log-exp`
3×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `rem-exp-log`

Counts

3 → 51

Calls

3 calls:

5.0ms	(exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))))
2.0ms	(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
6.0ms	(log (exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))))

series101.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))))
24.0ms	(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
30.0ms	(log (exp (sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))))

simplify1.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
6	1500
5	690
4	410
3	274
2	161
1	90
0	63

prune352.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))
0.0b	(pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3)
0.0b	(cbrt (pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`add-sqr-sqrt` `sqrt-prod`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`unpow-prod-down` `cube-prod`
6×	`pow1`
4×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `rem-cbrt-cube` `sqrt-pow2` `rem-cube-cbrt`

Counts

3 → 78

Calls

3 calls:

2.0ms	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))
5.0ms	(pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3)
5.0ms	(cbrt (pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3))

series114.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))
58.0ms	(pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3)
25.0ms	(cbrt (pow (sqrt (fabs (fma (/ b a) (- (/ b a)) 1))) 3))

simplify2.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1052
1	197
0	77

prune303.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

419.0ms	8000×	body	80	valid
234.0ms	7840×	pre	80	false
160.0ms	8000×	pre	80	true