Details

sample198.0ms

Algorithm

intervals

Results

49.0ms	520×	pre	80	true
48.0ms	117×	body	320	valid
34.0ms	264×	body	80	nan
25.0ms	94×	body	160	valid
11.0ms	18×	body	640	valid
4.0ms	27×	body	80	valid

simplify131.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
7	93
6	92
5	90
4	82
3	66
2	40
1	21
0	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
0.3b	(* (* 3 a) c)
26.0b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`*-un-lft-identity`
9×	`pow1`
8×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `sqrt-prod` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 79

Calls

4 calls:

16.0ms	(- (* b b) (* (* 3 a) c))
105.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
16.0ms	(* (* 3 a) c)
55.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

series407.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* b b) (* (* 3 a) c))
182.0ms	(/ (- (sqrt (- (* b b) (* (* 3 a) c))) b) (* 3 a))
33.0ms	(* (* 3 a) c)
117.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	2121
3	2121
2	1457
1	423
0	158

prune458.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.8b

localize17.0ms

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

prune69.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.8b

localize28.0ms

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))

rewrite60.0ms

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×	`associate-l` `insert-posit16` `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 → 81

Calls

3 calls:

9.0ms	(/ (* a c) b)
12.0ms	(* -3/2 (/ (* a c) b))
38.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series115.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (* a c) b)
50.0ms	(* -3/2 (/ (* a c) b))
31.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	2001
2	2001
1	382
0	126

prune508.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* -1/2 (* a c)) (* a b))
0.4b	(* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b)))
0.5b	(* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b)))
0.6b	(cbrt (* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b))))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

3596×	`add-cbrt-cube` `add-exp-log`
2209×	`prod-exp` `cbrt-unprod`
978×	`cbrt-undiv` `div-exp`
30×	`pow1`
12×	`add-sqr-sqrt`
11×	`frac-times` `associate-*l/`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`times-frac` `associate-l` `div-inv`
5×	`swap-sqr`
4×	`pow-prod-down` `insert-posit16` `add-log-exp`
3×	`pow2` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `rem-cbrt-cube` `associate-/l`

Counts

4 → 909

Calls

4 calls:

36.0ms	(/ (* -1/2 (* a c)) (* a b))
459.0ms	(* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b)))
112.0ms	(* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b)))
381.0ms	(cbrt (* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b))))

series358.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* -1/2 (* a c)) (* a b))
113.0ms	(* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b)))
79.0ms	(* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b)))
136.0ms	(cbrt (* (* (/ (* -1/2 (* a c)) (* a b)) (/ (* -1/2 (* a c)) (* a b))) (/ (* -1/2 (* a c)) (* a b))))

simplify4.1s

Counts

921 → 921

Iterations

Iter	Nodes
done	2000
1	2000
0	943

prune4.4s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

regimes585.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.2s	3620×	body	320	valid
1.7s	8197×	body	80	nan
1.1s	16197×	pre	80	true
919.0ms	2952×	body	160	valid
395.0ms	548×	body	640	valid
152.0ms	880×	body	80	valid