Details

sample51.0ms

Algorithm

intervals

Results

9.0ms	559×	pre	80	true
8.0ms	303×	body	80	nan
8.0ms	143×	body	160	valid
3.0ms	113×	body	80	valid

simplify71.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
27.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite127.0ms

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))
18.0ms	(* (* 3.0 a) c)
71.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
114.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
83.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.1s

Counts

105 → 105

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	1559
1	440	1478
2	1681	1247
done	5000	1234

prune245.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite196.0ms

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×	`pow-prod-down` `associate-/r/`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 165

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
18.0ms	(* 3.0 (* a c))
60.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
93.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series379.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
184.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
155.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.8s

Counts

177 → 177

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	251	4838
1	622	4351
2	2622	3972
done	5001	3970

prune431.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(/ 1 (* 3.0 a))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-cbrt-cube`
32×	`add-cube-cbrt`
30×	`associate-l`
26×	`prod-exp`
20×	`div-exp`
14×	`pow1` `distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
10×	`cbrt-undiv`
8×	`associate-r` `associate-/r*`
7×	`distribute-rgt-neg-in` `sqrt-prod`
6×	`rec-exp` `1-exp` `associate-/l*`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-times` `flip3-+` `associate-r/` `associate-l/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 170

Calls

4 calls:

17.0ms	(* 3.0 (* a c))
12.0ms	(/ 1 (* 3.0 a))
60.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
126.0ms	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 3.0 (* a c))
17.0ms	(/ 1 (* 3.0 a))
188.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
152.0ms	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

simplify1.2s

Counts

182 → 182

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	251	4482
1	657	3928
2	2533	3412
done	5000	3410

prune412.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b	(* (/ (* (* 3.0 a) c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
237×	`add-sqr-sqrt`
226×	`*-un-lft-identity`
141×	`add-cube-cbrt`
113×	`add-exp-log`
91×	`associate-r`
73×	`add-cbrt-cube`
45×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
41×	`prod-exp`
27×	`cbrt-unprod` `associate-/l*`
24×	`cbrt-undiv`
21×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`pow1`
14×	`associate-/r/`
10×	`div-inv`
9×	`associate-l`
7×	`flip3--` `pow-prod-down` `flip--`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 312

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
70.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
168.0ms	(* (/ (* (* 3.0 a) c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series319.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* 3.0 a) c)
25.0ms	(* (* 3.0 a) c)
123.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
152.0ms	(* (/ (* (* 3.0 a) c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify1.5s

Counts

324 → 324

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	406	9110
1	1134	8239
2	3838	7255
done	5001	7254

prune568.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes186.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	25
1	21	23
done	21	23

end0.0ms

sample1.4s

Algorithm

intervals

Results

266.0ms	4444×	body	160	valid
265.0ms	16319×	pre	80	true
233.0ms	8319×	body	80	nan
111.0ms	3556×	body	80	valid