Details

sample117.0ms

Algorithm

intervals

Results

34.0ms	154×	body	160	valid
22.0ms	512×	pre	80	true
21.0ms	256×	body	80	nan
13.0ms	50×	body	320	valid
4.0ms	52×	body	80	valid

simplify108.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3 a) c))
0.3b	(* (* 3 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
40.0b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

447×	`add-sqr-sqrt`
336×	`associate-l`
330×	`prod-diff`
300×	`*-un-lft-identity`
232×	`add-cube-cbrt`
183×	`associate-r`
111×	`unswap-sqr`
72×	`swap-sqr`
64×	`*-commutative`
60×	`times-frac`
28×	`distribute-lft-out`
17×	`distribute-rgt-neg-in`
15×	`fma-neg` `difference-of-squares`
14×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
10×	`fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-lft-out--`
5×	`associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `neg-log` `div-inv` `flip--`

Counts

4 → 540

Calls

4 calls:

142.0ms	(- (* b b) (* (* 3 a) c))
32.0ms	(* (* 3 a) c)
766.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
286.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* b b) (* (* 3 a) c))
22.0ms	(* (* 3 a) c)
152.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
155.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify2.7s

Counts

552 → 552

Iterations

Iter	Nodes
done	5000
2	3984
1	1487
0	594

prune2.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize13.0ms

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

prune98.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.9b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

1180×	`times-frac`
860×	`associate-r`
853×	`add-sqr-sqrt`
531×	`*-un-lft-identity`
527×	`add-cube-cbrt`
344×	`associate-l`
156×	`unswap-sqr`
114×	`*-commutative`
91×	`associate-/l*`
49×	`add-cbrt-cube` `add-exp-log`
36×	`associate-*r/`
21×	`associate-/r*` `associate-/l/`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp` `div-inv`
6×	`clear-num` `un-div-inv`
5×	`pow1`
4×	`frac-2neg`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 878

Calls

3 calls:

66.0ms	(* -3/2 (/ (* a c) b))
21.0ms	(/ (* a c) b)
171.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series125.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* -3/2 (/ (* a c) b))
36.0ms	(/ (* a c) b)
35.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify2.8s

Counts

887 → 887

Iterations

Iter	Nodes
done	5000
1	4396
0	1233

prune3.9s

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 3.9b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (sqrt a) c)
0.3b	(/ (* (sqrt a) c) b)
0.3b	(/ (/ (* (sqrt a) c) b) (sqrt a))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
461×	`add-sqr-sqrt`
353×	`*-un-lft-identity` `add-cube-cbrt`
267×	`sqrt-prod`
162×	`associate-l`
84×	`associate-/l*`
81×	`associate-r`
54×	`unswap-sqr`
27×	`*-commutative`
22×	`associate-/l/`
19×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/r*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`expm1-log1p-u` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

3 → 520

Calls

3 calls:

10.0ms	(* (sqrt a) c)
31.0ms	(/ (* (sqrt a) c) b)
68.0ms	(/ (/ (* (sqrt a) c) b) (sqrt a))

series176.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (sqrt a) c)
91.0ms	(/ (* (sqrt a) c) b)
11.0ms	(/ (/ (* (sqrt a) c) b) (sqrt a))

simplify2.0s

Counts

529 → 529

Iterations

Iter	Nodes
done	5000
1	1563
0	621

prune2.1s

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 3.9b

regimes1.5s

Accuracy

27.9% (4.8b remaining)

Error of 9.9b against oracle of 5.1b and baseline of 11.8b

bsearch4.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	43
2	43
1	39
0	29

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.3s	8106×	body	80	nan
1.2s	4870×	body	160	valid
1.0s	16106×	pre	80	true
541.0ms	1380×	body	320	valid
227.0ms	1750×	body	80	valid