Details

sample288.0ms

Algorithm

intervals

Results

72.0ms	108×	body	160	valid
43.0ms	98×	body	320	valid
37.0ms	273×	body	80	nan
32.0ms	529×	pre	80	true
11.0ms	19×	body	640	valid
4.0ms	31×	body	80	valid

simplify136.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	105
7	105
6	104
5	102
4	94
3	77
2	44
1	25
0	14

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 51.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* 4 a) c)))
0.1b	(- (* b b) (* (* 4 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
28.5b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

10.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms	(- (* b b) (* (* 4 a) c))
58.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
31.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
61.0ms	(- (* b b) (* (* 4 a) c))
157.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
138.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify2.6s

Counts

106 → 106

Iterations

Iter	Nodes
3	4871
2	1355
1	432
0	166

prune914.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune82.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.4b

localize30.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ (* -2 (/ (* a c) b)) (* 2 a))
0.3b	(/ (* a c) b)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 57

Calls

2 calls:

38.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
19.0ms	(/ (* a c) b)

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))
42.0ms	(/ (* a c) b)

simplify17.7s

Counts

63 → 63

Iterations

Iter	Nodes
3	14922
2	1748
1	330
0	113

prune424.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 3.4b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(log1p (/ (* a c) b))
0.2b	(expm1 (log1p (/ (* a c) b)))
0.3b	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
0.3b	(/ (* a c) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
5×	`expm1-log1p-u` `prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 72

Calls

4 calls:

0.0ms	(log1p (/ (* a c) b))
0.0ms	(expm1 (log1p (/ (* a c) b)))
16.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
10.0ms	(/ (* a c) b)

series356.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(log1p (/ (* a c) b))
124.0ms	(expm1 (log1p (/ (* a c) b)))
137.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
26.0ms	(/ (* a c) b)

simplify9.4s

Counts

84 → 84

Iterations

Iter	Nodes
3	8584
2	1381
1	359
0	146

prune638.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 3.3b

regimes478.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	6
1	6
0	4

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.6s	3616×	body	320	valid
1.4s	2983×	body	160	valid
1.1s	8042×	body	80	nan
1.0s	16042×	pre	80	true
297.0ms	529×	body	640	valid
142.0ms	872×	body	80	valid