Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
4.0ms	288×	pre	80	false
4.0ms	256×	pre	80	true

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	48	11
3	103	11
4	330	11
5	1613	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
16.9b	(/ (- (* a a) (* b b)) (* a a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `sqrt-prod`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv`

Counts

2 → 43

Calls

2 calls:

3.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
38.0ms	(/ (- (* a a) (* b b)) (* a a))

series111.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
75.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify984.0ms

Counts

49 → 49

Iterations

Useful iterations: 2 (242.0ms)

Iter	Nodes	Cost
0	84	765
1	225	652
2	1339	569
done	5001	569

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

2.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify1.7s

Counts

18 → 18

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	24	253
1	33	225
2	44	216
3	66	216
4	91	216
5	142	216
6	241	216
7	423	216
8	1135	216
done	5000	216

prune86.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(expm1 (log1p (sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))))
0.0b	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

0.0ms	(expm1 (log1p (sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))))
1.0ms	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(expm1 (log1p (sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))))
16.0ms	(sqrt (fabs (fma (/ b a) (- (/ b a)) 1)))

simplify1.5s

Counts

32 → 32

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	35	467
1	49	402
2	61	384
3	83	384
4	108	384
5	159	384
6	249	384
7	435	384
8	1136	384
done	5001	384

prune112.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	12	11
done	12	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

436.0ms	8000×	body	80	valid
190.0ms	8000×	pre	80	true
159.0ms	7889×	pre	80	false