Details

sample119.0ms

Algorithm

intervals

Results

24.0ms	123×	body	320	valid
16.0ms	269×	body	80	nan
15.0ms	525×	pre	80	true
12.0ms	88×	body	160	valid
5.0ms	19×	body	640	valid
2.0ms	26×	body	80	valid

simplify93.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	120
5	120
4	112
3	83
2	42
1	22
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
25.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite158.0ms

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` `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 → 93

Calls

4 calls:

12.0ms	(- (* b b) (* (* 3.0 a) c))
84.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(* (* 3.0 a) c)
34.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (* b b) (* (* 3.0 a) c))
148.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms	(* (* 3.0 a) c)
119.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	2801
1	471
0	167

prune633.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.6b

localize5.0ms

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

prune65.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite52.0ms

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` `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 → 84

Calls

3 calls:

7.0ms	(/ (* a c) b)
17.0ms	(* -1.5 (/ (* a c) b))
23.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series127.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* a c) b)
50.0ms	(* -1.5 (/ (* a c) b))
38.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	2851
1	401
0	129

prune631.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.6b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* a c) b)
0.3b	(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.3b	(expm1 (log1p (/ (* a c) b)))
0.4b	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite45.0ms

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` `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 → 77

Calls

4 calls:

8.0ms	(/ (* a c) b)
9.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
1.0ms	(expm1 (log1p (/ (* a c) b)))
26.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series425.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* a c) b)
136.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
134.0ms	(expm1 (log1p (/ (* a c) b)))
126.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	2236
1	392
0	154

prune547.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.6b

regimes918.0ms

Accuracy

19.8% (2.9b remaining)

Error of 5.6b against oracle of 2.7b and baseline of 6.4b

bsearch5.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	38
1	38
0	29

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	3703×	body	320	valid
787.0ms	8095×	body	80	nan
611.0ms	16095×	pre	80	true
512.0ms	2850×	body	160	valid
136.0ms	501×	body	640	valid
110.0ms	946×	body	80	valid