Details

sample70.0ms

Algorithm

intervals

Results

16.0ms	268×	body	80	nan
13.0ms	146×	body	160	valid
10.0ms	524×	pre	80	true
5.0ms	110×	body	80	valid

simplify97.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.6b	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`pow1` `times-frac` `associate-/l*`
3×	`distribute-rgt-neg-in` `sqrt-prod`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `sqrt-div` `div-exp` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `neg-log` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 70

Calls

4 calls:

9.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms	(- (* b b) (* (* 4.0 a) c))
113.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
47.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
94.0ms	(- (* b b) (* (* 4.0 a) c))
176.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
109.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify746.0ms

Counts: 82 → 82

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.4b	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
38×	`add-cube-cbrt`
30×	`associate-/l*`
22×	`distribute-lft-out--` `difference-of-squares`
18×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-neg-in` `sqrt-prod`
10×	`add-log-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`flip3--` `flip--`
4×	`pow1` `div-inv`
3×	`diff-log` `associate-/l/`
2×	`sub-neg` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod`
1×	`associate--l-` `neg-sub0` `flip3-+` `neg-log` `flip-+`

Counts

4 → 151

Calls

4 calls:

43.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms	(- (* b b) (* (* 4.0 a) c))
130.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
87.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
83.0ms	(- (* b b) (* (* 4.0 a) c))
221.0ms	(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
299.0ms	(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify1.7s

Counts: 163 → 163

prune671.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b	(- (* b b) (* (* 4.0 a) c))
0.3b	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt` `associate-r`
6×	`prod-exp` `cbrt-unprod`
4×	`sub-neg` `flip3--` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `times-frac` `diff-log` `div-exp` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `sqrt-prod` `associate-/r/` `associate-/l/`
1×	`associate--l-` `neg-sub0` `frac-2neg` `flip3-+` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip-+` `div-inv`

Counts

4 → 85

Calls

4 calls:

27.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
88.0ms	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms	(- (* b b) (* (* 4.0 a) c))
71.0ms	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series568.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
165.0ms	(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
60.0ms	(- (* b b) (* (* 4.0 a) c))
221.0ms	(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify2.0s

Counts: 97 → 97

prune366.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b	(/ (/ (/ (* 4.0 (* a c)) 2.0) a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b	(- (* b b) (* (* 4.0 a) c))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

415×	`times-frac`
252×	`add-sqr-sqrt`
251×	`*-un-lft-identity`
143×	`add-cube-cbrt`
54×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
30×	`sqrt-prod`
27×	`distribute-rgt-neg-in`
25×	`associate-/l*`
24×	`add-exp-log` `add-cbrt-cube`
12×	`cbrt-undiv` `div-exp`
10×	`add-log-exp`
7×	`associate-/r*`
5×	`pow1`
4×	`flip3--` `flip--`
3×	`diff-log` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `sqrt-div` `associate-/r/`
1×	`associate--l-` `neg-sub0` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `neg-log` `clear-num` `associate-/l/`

Counts

4 → 275

Calls

4 calls:

9.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
103.0ms	(/ (/ (/ (* 4.0 (* a c)) 2.0) a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
16.0ms	(- (* b b) (* (* 4.0 a) c))

series552.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (- (* b b) (* (* 4.0 a) c)))
109.0ms	(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
251.0ms	(/ (/ (/ (* 4.0 (* a c)) 2.0) a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
69.0ms	(- (* b b) (* (* 4.0 a) c))

simplify766.0ms

Counts: 287 → 287

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes167.0ms

Accuracy

42.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.8s

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	16620×	pre	80	true
756.0ms	8620×	body	80	nan
736.0ms	4450×	body	160	valid
257.0ms	3550×	body	80	valid