Details

sample91.0ms

Algorithm

intervals

Results

34.0ms	507×	pre	80	true
15.0ms	107×	body	320	valid
12.0ms	251×	body	80	nan
9.0ms	94×	body	160	valid
3.0ms	19×	body	640	valid
2.0ms	36×	body	80	valid

simplify92.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 50.8b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.3b	(* (* 3 a) c)
27.7b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

16.0ms	(- (* b b) (* (* 3 a) c))
62.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
34.0ms	(* (* 3 a) c)
29.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 3 a) c))
166.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
36.0ms	(* (* 3 a) c)
104.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify1.9s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1591
1	468
0	170

prune636.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune38.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 87

Calls

3 calls:

12.0ms	(/ (* a c) b)
13.0ms	(* -3/2 (/ (* a c) b))
36.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series108.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (* a c) b)
49.0ms	(* -3/2 (/ (* a c) b))
31.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.6s

Counts

96 → 96

Iterations

Iter	Nodes
done	5081
2	2257
1	396
0	132

prune490.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -3/2 (expm1 (log1p (/ (* a c) b))))
0.3b	(expm1 (log1p (/ (* a c) b)))
0.4b	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`expm1-log1p` `pow-prod-down` `*-commutative` `expm1-udef` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

9.0ms	(/ (* a c) b)
9.0ms	(* -3/2 (expm1 (log1p (/ (* a c) b))))
0.0ms	(expm1 (log1p (/ (* a c) b)))
24.0ms	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

series430.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* a c) b)
120.0ms	(* -3/2 (expm1 (log1p (/ (* a c) b))))
141.0ms	(expm1 (log1p (/ (* a c) b)))
133.0ms	(/ (* -3/2 (expm1 (log1p (/ (* a c) b)))) (* 3 a))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5014
2	1810
1	398
0	158

prune462.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 3.2b

regimes706.0ms

Accuracy

11% (3.3b remaining)

Error of 6.1b against oracle of 2.8b and baseline of 6.5b

bsearch5.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	33
1	33
0	28

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.3s	16079×	pre	80	true
1.0s	3534×	body	320	valid
719.0ms	8079×	body	80	nan
569.0ms	941×	body	80	valid
516.0ms	3025×	body	160	valid
155.0ms	500×	body	640	valid