Details

sample68.0ms

Algorithm

intervals

Results

13.0ms	157×	body	160	valid
12.0ms	285×	body	80	nan
11.0ms	541×	pre	80	true
6.0ms	47×	body	320	valid
2.0ms	52×	body	80	valid

simplify5.0ms

Counts: 1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize14.0ms

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

rewrite137.0ms

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:

11.0ms	(- (* b b) (* (* 3.0 a) c))
19.0ms	(* (* 3.0 a) c)
82.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
119.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
91.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify51.0ms

Counts: 85 → 85

prune174.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite667.0ms

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:

19.0ms	(* (* 3.0 a) c)
295.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* 3.0 (* a c))
328.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series360.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3.0 a) c)
178.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms	(* 3.0 (* a c))
136.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify104.0ms

Counts: 171 → 171

prune482.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite419.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
80.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* 3.0 (* a c))
298.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* 3.0 a) c)
117.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
21.0ms	(* 3.0 (* a c))
138.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify90.0ms

Counts: 104 → 104

prune281.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

32.0ms	(* (* 3.0 a) c)
26.0ms	(* (* 3.0 a) c)
79.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
293.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
120.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
136.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify84.0ms

Counts: 104 → 104

prune238.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

796.0ms	8337×	body	80	nan
724.0ms	4906×	body	160	valid
505.0ms	16337×	pre	80	true
226.0ms	1319×	body	320	valid
134.0ms	1775×	body	80	valid