Details

sample59.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	240×	pre	80	false

simplify983.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1561
4	319
3	100
2	47
1	18
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
14.2b	(/ (* b b) a)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `associate-/r*` `times-frac` `sqrt-prod`
2×	`cbrt-undiv` `div-exp` `add-log-exp`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

2.0ms	(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
21.0ms	(/ (* b b) a)

series67.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(sqrt (fabs (/ (- a (/ (* b b) a)) a)))
38.0ms	(/ (* b b) a)

simplify847.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5001
2	1144
1	166
0	66

prune190.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)))
0.2b	(* (/ b (sqrt a)) (/ b (sqrt a)))
0.3b	(/ b (sqrt a))
0.3b	(/ b (sqrt a))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt`
132×	`times-frac`
91×	`*-un-lft-identity` `add-cube-cbrt`
75×	`sqrt-prod`
28×	`swap-sqr`
22×	`associate-r` `associate-l`
20×	`add-cbrt-cube` `add-exp-log`
12×	`pow1` `associate-/r*`
9×	`unswap-sqr`
6×	`cbrt-undiv` `div-exp` `div-inv` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow2` `frac-times` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 196

Calls

4 calls:

1.0ms	(sqrt (fabs (/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)))
43.0ms	(* (/ b (sqrt a)) (/ b (sqrt a)))
5.0ms	(/ b (sqrt a))
5.0ms	(/ b (sqrt a))

series217.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (fabs (/ (- a (* (/ b (sqrt a)) (/ b (sqrt a)))) a)))
46.0ms	(* (/ b (sqrt a)) (/ b (sqrt a)))
67.0ms	(/ b (sqrt a))
86.0ms	(/ b (sqrt a))

simplify2.2s

Counts

208 → 208

Iterations

Iter	Nodes
done	5000
2	4232
1	689
0	215

prune967.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

9.2b	(/ (/ (* b b) (sqrt a)) (sqrt a))
15.2b	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
15.2b	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
15.2b	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

1830×	`times-frac`
710×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
630×	`sqrt-prod`
202×	`associate-/l*`
95×	`div-inv`
55×	`add-cbrt-cube` `add-exp-log`
32×	`cbrt-undiv` `div-exp`
15×	`associate-/r*`
4×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `add-log-exp` `associate-/l/`

Counts

4 → 927

Calls

4 calls:

25.0ms	(/ (/ (* b b) (sqrt a)) (sqrt a))
36.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
56.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
65.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)

series273.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (/ (* b b) (sqrt a)) (sqrt a))
73.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
78.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)
75.0ms	(/ (/ (/ (* b b) (sqrt a)) (sqrt a)) a)

simplify868.0ms

Counts

939 → 939

Iterations

Iter	Nodes
done	5001
1	1246
0	470

prune6.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

446.0ms	8000×	body	80	valid
176.0ms	8000×	pre	80	true
150.0ms	7853×	pre	80	false