Details

sample61.0ms

Algorithm

intervals

Results

13.0ms	147×	body	160	valid
11.0ms	506×	pre	80	true
10.0ms	250×	body	80	nan
5.0ms	109×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* 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))
28.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite127.0ms

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:

10.0ms	(- (* b b) (* (* 3.0 a) c))
18.0ms	(* (* 3.0 a) c)
75.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
115.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
87.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify52.0ms

Counts: 85 → 85

prune192.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite634.0ms

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:

278.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
16.0ms	(* 3.0 (* a c))
314.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series368.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms	(* (* 3.0 a) c)
23.0ms	(* 3.0 (* a c))
142.0ms	(/ (/ (+ (- (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

prune495.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
237×	`add-sqr-sqrt`
226×	`*-un-lft-identity`
141×	`add-cube-cbrt`
113×	`add-exp-log`
89×	`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/`
11×	`associate-l`
10×	`div-inv`
7×	`flip3--` `pow-prod-down` `flip--`
5×	`rec-exp` `1-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
72.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
16.0ms	(* 3.0 (* a c))
159.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series346.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
135.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
21.0ms	(* 3.0 (* a c))
169.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify66.0ms

Counts: 316 → 316

prune718.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

326×	`times-frac`
325×	`add-exp-log`
243×	`add-sqr-sqrt`
232×	`*-un-lft-identity`
154×	`add-cbrt-cube`
150×	`div-exp`
147×	`add-cube-cbrt`
131×	`prod-exp`
89×	`associate-r`
59×	`cbrt-unprod`
58×	`cbrt-undiv`
42×	`distribute-lft-out--` `difference-of-squares`
29×	`1-exp`
27×	`associate-/l*`
21×	`distribute-rgt-neg-in` `associate-l` `sqrt-prod`
16×	`pow1`
14×	`associate-/r/`
13×	`rec-exp`
11×	`div-inv`
7×	`flip3--` `pow-prod-down` `flip--`
6×	`frac-times` `associate-*r/`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
1×	`frac-2neg` `clear-num` `associate-/l/`

Counts

4 → 377

Calls

4 calls:

18.0ms	(* (* 3.0 a) c)
142.0ms	(* (/ 3.0 1) (* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
69.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
139.0ms	(* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series485.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3.0 a) c)
161.0ms	(* (/ 3.0 1) (* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
134.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
164.0ms	(* (/ (* a c) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify80.0ms

Counts: 389 → 389

prune770.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

739.0ms	16449×	pre	80	true
515.0ms	8449×	body	80	nan
494.0ms	4411×	body	160	valid
185.0ms	3589×	body	80	valid