Details

sample123.0ms

Algorithm

intervals

Results

26.0ms	530×	pre	80	true
24.0ms	117×	body	320	valid
17.0ms	274×	body	80	nan
11.0ms	86×	body	160	valid
5.0ms	22×	body	640	valid
2.0ms	31×	body	80	valid

simplify109.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.9b

localize14.0ms

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))
0.2b	(* (* 3.0 a) c)
24.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `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×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

11.0ms	(- (* b b) (* (* 3.0 a) c))
113.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms	(* (* 3.0 a) c)
39.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* b b) (* (* 3.0 a) c))
188.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms	(* (* 3.0 a) c)
138.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.7s

Counts

105 → 105

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	167	1559
1	440	1478
2	1684	1247
done	5000	1234

prune430.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(* (* a c) 3.0)
0.3b	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 165

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
24.0ms	(* (* a c) 3.0)
77.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
132.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series547.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 3.0 a) c)
22.0ms	(* (* a c) 3.0)
262.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
226.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.5s

Counts

177 → 177

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	255	4841
1	637	4352
2	2833	3973
done	5000	3971

prune717.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* a c) 3.0)
0.4b	(/ (+ 0 (* (* a c) 3.0)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

120×	`prod-diff`
89×	`add-sqr-sqrt` `*-un-lft-identity`
85×	`add-cube-cbrt`
62×	`distribute-rgt-in` `distribute-lft-in`
61×	`sqrt-prod`
37×	`distribute-rgt-neg-in`
36×	`distribute-lft-neg-in`
28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
13×	`associate-r`
12×	`neg-mul-1` `prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `-commutative` `associate-/l`
2×	`sub-neg` `flip3--` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `flip3-+` `clear-num` `associate-/r*` `flip-+` `div-inv`

Counts

4 → 219

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
132.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms	(* (* a c) 3.0)
77.0ms	(/ (+ 0 (* (* a c) 3.0)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series463.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
167.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
32.0ms	(* (* a c) 3.0)
242.0ms	(/ (+ 0 (* (* a c) 3.0)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify2.4s

Counts

231 → 231

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	360	12403
1	915	8508
2	3444	6621
done	5001	6452

prune439.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `div-exp` `associate-r*` `pow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `times-frac` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

12.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
34.0ms	(* (* 3.0 a) c)
32.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

series183.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(* (* 3.0 a) c)
42.0ms	(* (* 3.0 a) c)
21.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

simplify1.6s

Counts

95 → 95

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	1026
1	286	950
2	1800	654
done	5001	635

prune333.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.4s	3638×	body	320	valid
614.0ms	2929×	body	160	valid
613.0ms	8036×	body	80	nan
603.0ms	16036×	pre	80	true
262.0ms	511×	body	640	valid
59.0ms	922×	body	80	valid