Details

sample90.0ms

Algorithm

intervals

Results

18.0ms	150×	body	160	valid
14.0ms	263×	body	80	nan
14.0ms	519×	pre	80	true
7.0ms	46×	body	320	valid
4.0ms	60×	body	80	valid

simplify75.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize47.0ms

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))
39.3b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite611.0ms

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:

12.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
532.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
44.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
159.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
144.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.1s

Counts: 85 → 85

prune288.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize56.0ms

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))
0.4b	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite988.0ms

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:

37.0ms	(* (* 3.0 a) c)
439.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
33.0ms	(* 3.0 (* a c))
463.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series481.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 3.0 a) c)
233.0ms	(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
29.0ms	(* 3.0 (* a c))
178.0ms	(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts: 171 → 171

prune689.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
119×	`add-sqr-sqrt`
113×	`add-exp-log`
108×	`*-un-lft-identity`
89×	`associate-r`
77×	`add-cbrt-cube`
71×	`add-cube-cbrt`
44×	`prod-exp`
42×	`div-exp`
30×	`cbrt-unprod`
24×	`cbrt-undiv`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`pow1`
11×	`associate-l`
9×	`distribute-rgt-neg-in` `sqrt-prod`
7×	`pow-prod-down`
6×	`associate-/r/` `div-inv`
4×	`rec-exp` `1-exp` `add-log-exp` `unswap-sqr`
3×	`flip3--` `associate-/r` `-commutative` `flip--`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l*`

Counts

4 → 199

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
34.0ms	(/ (* 3.0 (* a c)) 3.0)
20.0ms	(* 3.0 (* a c))
255.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series338.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
22.0ms	(/ (* 3.0 (* a c)) 3.0)
24.0ms	(* 3.0 (* a c))
270.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify588.0ms

Counts: 211 → 211

prune688.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b	(* (* 3.0 a) c)
0.3b	(* (* 1.0 (* a c)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
250×	`add-sqr-sqrt` `*-un-lft-identity`
150×	`add-cube-cbrt`
88×	`associate-r`
82×	`add-exp-log`
52×	`add-cbrt-cube`
50×	`distribute-lft-out--` `difference-of-squares`
33×	`prod-exp`
30×	`associate-/l*`
26×	`div-exp`
25×	`distribute-rgt-neg-in` `sqrt-prod`
21×	`cbrt-unprod`
19×	`pow1`
16×	`associate-/r/`
13×	`cbrt-undiv`
10×	`associate-/r*` `div-inv`
9×	`pow-prod-down`
8×	`flip3--` `flip--`
5×	`rec-exp` `1-exp`
4×	`add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`pow-flip` `associate-*r/` `associate-/l/` `inv-pow`

Counts

4 → 317

Calls

4 calls:

59.0ms	(/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
116.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
24.0ms	(* (* 3.0 a) c)
183.0ms	(* (* 1.0 (* a c)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series611.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
204.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
35.0ms	(* (* 3.0 a) c)
224.0ms	(* (* 1.0 (* a c)) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify783.0ms

Counts: 329 → 329

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes287.0ms

Accuracy

69.8% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify562.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	4872×	body	160	valid
655.0ms	16153×	pre	80	true
592.0ms	8153×	body	80	nan
396.0ms	1365×	body	320	valid
192.0ms	1763×	body	80	valid