Details

sample74.0ms

Algorithm

intervals

Results

26.0ms	253×	body	80	nan
12.0ms	145×	body	160	valid
10.0ms	509×	pre	80	true
5.0ms	111×	body	80	valid

simplify6.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.9b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite130.0ms

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:

8.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
76.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
117.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
88.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify53.0ms

Counts: 85 → 85

prune198.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite637.0ms

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--` `div-sub` `flip--` `associate-/l/`
2×	`associate-+l-` `frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 159

Calls

4 calls:

17.0ms	(* 3.0 (* a c))
19.0ms	(* (* 3.0 a) c)
281.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
313.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series361.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 3.0 (* a c))
25.0ms	(* (* 3.0 a) c)
173.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
143.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify109.0ms

Counts: 171 → 171

prune493.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
137×	`add-sqr-sqrt`
122×	`*-un-lft-identity`
117×	`add-exp-log`
77×	`add-cbrt-cube`
60×	`add-cube-cbrt`
58×	`associate-r`
48×	`div-exp`
41×	`prod-exp`
30×	`distribute-lft-out--` `difference-of-squares`
29×	`cbrt-undiv`
25×	`cbrt-unprod`
19×	`div-inv`
15×	`distribute-rgt-neg-in` `sqrt-prod`
14×	`associate-l`
11×	`pow1`
10×	`associate-/r*`
8×	`associate-/l*`
6×	`unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-/r/` `add-log-exp`
2×	`flip3--` `frac-2neg` `clear-num` `*-commutative` `flip--`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 241

Calls

4 calls:

22.0ms	(/ (* 3.0 (* a c)) a)
18.0ms	(* (* 3.0 a) c)
140.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
61.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series354.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (* 3.0 (* a c)) a)
25.0ms	(* (* 3.0 a) c)
157.0ms	(* (/ 1 3.0) (/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
161.0ms	(/ (/ (* 3.0 (* a c)) a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify50.0ms

Counts: 253 → 253

prune582.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* 1 (* a c)) (/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
246×	`add-sqr-sqrt` `*-un-lft-identity`
138×	`add-cube-cbrt`
113×	`add-exp-log`
100×	`associate-r`
58×	`prod-exp`
54×	`distribute-lft-out--` `difference-of-squares`
50×	`add-cbrt-cube`
36×	`div-exp`
27×	`distribute-rgt-neg-in` `sqrt-prod`
21×	`cbrt-unprod`
18×	`pow1`
17×	`div-inv`
16×	`1-exp`
13×	`associate-/l*`
12×	`cbrt-undiv`
9×	`pow-prod-down`
7×	`associate-/r*`
6×	`rec-exp` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
49.0ms	(/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
136.0ms	(* (* 1 (* a c)) (/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
180.0ms	(/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
156.0ms	(* (* 1 (* a c)) (/ (/ 1 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify57.0ms

Counts: 316 → 316

prune579.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes192.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

520.0ms	16460×	pre	80	true
486.0ms	8460×	body	80	nan
469.0ms	3507×	body	80	valid
429.0ms	4493×	body	160	valid