Details

sample149.0ms

Algorithm

intervals

Results

48.0ms	161×	body	160	valid
23.0ms	260×	body	80	nan
20.0ms	516×	pre	80	true
13.0ms	49×	body	320	valid
4.0ms	46×	body	80	valid

simplify110.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	96	16
5	104	16
done	104	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.5b

localize13.0ms

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))
40.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
28.0ms	(* (* 3.0 a) c)
93.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
32.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(* (* 3.0 a) c)
157.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
127.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	154	1437
1	437	1361
2	2544	1143
done	5000	1133

prune269.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

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×	`div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

111.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
36.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
134.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series529.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
38.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
197.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify3.3s

Counts

169 → 169

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	223	4721
1	587	4243
2	3851	3887
done	5001	3879

prune725.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite434.0ms

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×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

149.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1)))))
23.0ms	(* (* 3.0 a) c)
35.0ms	(* 3.0 (* a c))
217.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1))))) (* 3.0 a))

series534.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1)))))
39.0ms	(* (* 3.0 a) c)
22.0ms	(* 3.0 (* a c))
204.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1))))) (* 3.0 a))

simplify4.4s

Counts

169 → 169

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	244	5068
1	662	4242
2	4943	3882
done	5000	3882

prune668.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
40×	`add-cbrt-cube`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
31×	`associate-l`
29×	`prod-exp`
28×	`times-frac`
21×	`add-cube-cbrt`
19×	`pow1` `div-exp`
15×	`cbrt-unprod`
11×	`associate-r`
9×	`cbrt-undiv`
8×	`pow-prod-down`
6×	`rec-exp` `1-exp` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`distribute-rgt-neg-in` `sqrt-prod` `-commutative` `div-inv` `associate-/l`
2×	`pow-flip` `associate-/r/` `unswap-sqr`
1×	`frac-times` `flip3--` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 133

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
21.0ms	(/ 1 (* 3.0 a))
17.0ms	(* 3.0 (* a c))
226.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1))))) (/ 1 (* 3.0 a)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
29.0ms	(/ 1 (* 3.0 a))
38.0ms	(* 3.0 (* a c))
203.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (pow (* 3.0 (* a c)) 1))))) (/ 1 (* 3.0 a)))

simplify494.0ms

Counts

145 → 145

Iterations

Useful iterations: done (486.0ms)

Iter	Nodes	Cost
0	212	3076
1	636	2611
done	5000	2126

prune596.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	20	29
1	27	25
2	28	25
done	28	25

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.1s	16115×	pre	80	true
899.0ms	4892×	body	160	valid
751.0ms	8115×	body	80	nan
325.0ms	1376×	body	320	valid
179.0ms	1732×	body	80	valid