Details

sample103.0ms

Algorithm

intervals

Results

24.0ms	98×	body	160	valid
18.0ms	119×	body	320	valid
13.0ms	508×	pre	80	true
13.0ms	252×	body	80	nan
5.0ms	20×	body	640	valid
1.0ms	19×	body	80	valid

simplify4.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
27.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite172.0ms

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:

14.0ms	(- (* b b) (* (* 3.0 a) c))
99.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms	(* (* 3.0 a) c)
22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series389.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (* b b) (* (* 3.0 a) c))
152.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.0ms	(* (* 3.0 a) c)
137.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify72.0ms

Counts: 85 → 85

prune243.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

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

rewrite649.0ms

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:

16.0ms	(* 3.0 (* a c))
113.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
384.0ms	(* (* 3.0 a) c)
127.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series533.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* 3.0 (* a c))
261.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(* (* 3.0 a) c)
221.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify119.0ms

Counts: 169 → 169

prune539.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

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×	`associate-r` `pow-prod-down` `associate-/r/`
4×	`div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

75.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(* (* 3.0 a) c)
26.0ms	(* (* 3.0 a) c)
117.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series595.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
32.0ms	(* (* 3.0 a) c)
23.0ms	(* (* 3.0 a) c)
232.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify93.0ms

Counts: 169 → 169

prune551.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
280×	`add-sqr-sqrt`
254×	`*-un-lft-identity`
168×	`add-cube-cbrt`
117×	`add-exp-log`
88×	`associate-r`
77×	`add-cbrt-cube`
60×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
35×	`cbrt-undiv`
30×	`associate-/l*`
29×	`prod-exp`
27×	`associate-l`
21×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-unprod`
18×	`div-inv`
16×	`associate-/r/`
11×	`pow1`
10×	`associate-/r*`
8×	`unswap-sqr`
7×	`flip3--` `flip--`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 357

Calls

4 calls:

12.0ms	(/ 3.0 (/ 3.0 (* a c)))
101.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
19.0ms	(* (* 3.0 a) c)
308.0ms	(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series511.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 3.0 (/ 3.0 (* a c)))
223.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
34.0ms	(* (* 3.0 a) c)
220.0ms	(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify126.0ms

Counts: 369 → 369

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

80.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify56.0ms

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.1s	16254×	pre	80	true
1.1s	3642×	body	320	valid
638.0ms	8254×	body	80	nan
606.0ms	2942×	body	160	valid
145.0ms	516×	body	640	valid
64.0ms	900×	body	80	valid