Details

sample85.0ms

Algorithm

intervals

Results

16.0ms	275×	body	80	nan
15.0ms	531×	pre	80	true
14.0ms	119×	body	160	valid
8.0ms	137×	body	80	valid

simplify4.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.0b

localize54.0ms

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))
24.8b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite173.0ms

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))
19.0ms	(* (* 3.0 a) c)
106.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* b b) (* (* 3.0 a) c))
31.0ms	(* (* 3.0 a) c)
185.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
107.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify65.0ms

Counts: 85 → 85

prune310.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite292.0ms

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:

25.0ms	(* (* 3.0 a) c)
110.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
30.0ms	(* 3.0 (* a c))
118.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series568.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 3.0 a) c)
274.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
34.0ms	(* 3.0 (* a c))
231.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify127.0ms

Counts: 169 → 169

prune587.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

353×	`times-frac`
264×	`add-sqr-sqrt`
238×	`*-un-lft-identity`
152×	`add-cube-cbrt`
108×	`add-exp-log`
88×	`associate-r`
68×	`add-cbrt-cube`
55×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
30×	`cbrt-undiv`
28×	`prod-exp`
27×	`associate-l` `associate-/l*`
21×	`distribute-rgt-neg-in` `sqrt-prod`
18×	`cbrt-unprod`
15×	`associate-/r/`
13×	`div-inv`
11×	`pow1`
8×	`flip3--` `flip--` `unswap-sqr`
6×	`add-log-exp`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down`
3×	`associate-/r*`
2×	`*-commutative`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 321

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
111.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms	(* (* 3.0 a) c)
684.0ms	(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series469.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* b b) (* (* 3.0 a) c))
159.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
29.0ms	(* (* 3.0 a) c)
203.0ms	(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify100.0ms

Counts: 333 → 333

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
53×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`add-cube-cbrt`
14×	`associate-/l*`
13×	`div-exp` `prod-exp`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`cbrt-undiv` `associate-/r*` `associate-/r/`
9×	`pow1` `cbrt-unprod`
6×	`flip3--` `distribute-rgt-neg-in` `sqrt-prod` `flip--` `div-inv` `add-log-exp`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `diff-log` `associate-l` `*-commutative` `associate-/l/`

Counts

4 → 139

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
122.0ms	(/ (/ (* (* 1 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
31.0ms	(* (* 3.0 a) c)
136.0ms	(/ (* (* 1 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* b b) (* (* 3.0 a) c))
257.0ms	(/ (/ (* (* 1 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
38.0ms	(* (* 3.0 a) c)
273.0ms	(/ (* (* 1 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify105.0ms

Counts: 151 → 151

prune561.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes227.0ms

Accuracy

42% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify59.0ms

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	4487×	body	160	valid
709.0ms	16455×	pre	80	true
705.0ms	8455×	body	80	nan
312.0ms	3513×	body	80	valid