Details

sample103.0ms

Algorithm

intervals

Results

38.0ms	278×	body	80	nan
15.0ms	145×	body	160	valid
13.0ms	534×	pre	80	true
7.0ms	44×	body	320	valid
3.0ms	67×	body	80	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	12	17
1	24	17
2	66	16
3	103	16
4	114	16
done	114	16

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
39.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite143.0ms

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))
21.0ms	(* (* 3.0 a) c)
88.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
178.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
125.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify23.7s

Counts

85 → 85

Iterations

Useful iterations: done (23.7s)

Iter	Nodes	Cost
0	154	1437
1	1740	1341
done	5002	1180

prune281.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

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

rewrite275.0ms

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:

83.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms	(* (* 3.0 a) c)
22.0ms	(* (* 3.0 a) c)
135.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series577.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(* (* 3.0 a) c)
31.0ms	(* (* 3.0 a) c)
232.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.0m

Counts

169 → 169

Iterations

Useful iterations: done (2.0m)

Iter	Nodes	Cost
0	223	4721
done	5000	4239

prune701.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1` `associate-/l*`
12×	`add-cube-cbrt`
8×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`distribute-rgt-neg-in` `sqrt-prod` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

80.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
37.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
122.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series588.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
33.0ms	(* (* 3.0 a) c)
23.0ms	(* (* 3.0 a) c)
271.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify595.0ms

Counts

135 → 135

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	185	3188
done	5000	3064

prune459.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c)))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))
0.4b	(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))) (* 3.0 a))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

880×	`times-frac`
381×	`add-sqr-sqrt` `*-un-lft-identity`
237×	`add-cube-cbrt`
203×	`add-exp-log`
122×	`div-exp`
120×	`associate-/l*`
95×	`add-cbrt-cube`
72×	`distribute-lft-out--` `difference-of-squares`
51×	`cbrt-undiv`
39×	`prod-exp`
36×	`distribute-rgt-neg-in` `sqrt-prod`
31×	`associate-/r*`
27×	`div-inv`
17×	`cbrt-unprod`
15×	`rec-exp` `1-exp`
10×	`pow1`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num` `associate-/r/`
2×	`div-sub` `associate-/l/`
1×	`pow-flip` `associate-l` `*-commutative` `inv-pow`

Counts

4 → 481

Calls

4 calls:

119.0ms	(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c)))
34.0ms	(* (* 3.0 a) c)
86.0ms	(/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))
144.0ms	(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))) (* 3.0 a))

series617.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c)))
27.0ms	(* (* 3.0 a) c)
150.0ms	(/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))
197.0ms	(/ (/ 1 (/ (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) (* a c))) (* 3.0 a))

simplify1.1s

Counts

493 → 493

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	619	15991
done	5000	15472

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes279.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	23
1	15	23
done	15	23

end0.0ms

sample4.2s

Algorithm

intervals

Results

904.0ms	4767×	body	160	valid
756.0ms	16430×	pre	80	true
689.0ms	1870×	body	80	valid
672.0ms	8430×	body	80	nan
314.0ms	1363×	body	320	valid