Details

sample78.0ms

Algorithm

intervals

Results

21.0ms	554×	pre	80	true
13.0ms	151×	body	160	valid
13.0ms	298×	body	80	nan
5.0ms	105×	body	80	valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	12	17
1	24	17
2	66	16
3	103	16
4	114	16
done	114	16

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.4b

localize20.0ms

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))
30.4b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite185.0ms

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:

17.0ms	(- (* b b) (* (* 3.0 a) c))
21.0ms	(* (* 3.0 a) c)
92.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
50.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series370.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
162.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
118.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify22.5s

Counts

85 → 85

Iterations

Useful iterations: done (22.5s)

Iter	Nodes	Cost
0	154	1437
1	1740	1341
done	5002	1180

prune215.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 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)))))
0.4b	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite263.0ms

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:

18.0ms	(* (* 3.0 a) c)
20.0ms	(* (* 3.0 a) c)
67.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
150.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series557.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
35.0ms	(* (* 3.0 a) c)
282.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
206.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.0m

Counts

169 → 169

Iterations

Useful iterations: done (2.0m)

Iter	Nodes	Cost
0	223	4721
done	5000	4239

prune642.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(/ 1 (* 3.0 a))
0.3b	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
0.4b	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-cbrt-cube`
32×	`add-cube-cbrt`
28×	`associate-l`
26×	`prod-exp`
20×	`div-exp`
14×	`pow1` `distribute-lft-out--` `difference-of-squares`
12×	`cbrt-unprod`
10×	`cbrt-undiv` `associate-r`
8×	`associate-/r*`
7×	`distribute-rgt-neg-in` `sqrt-prod`
6×	`rec-exp` `1-exp` `associate-/l*`
5×	`pow-prod-down`
4×	`associate-/r/` `div-inv` `add-log-exp`
2×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `*-commutative` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-times` `flip3-+` `associate-r/` `associate-l/` `un-div-inv` `flip-+` `inv-pow`

Counts

4 → 162

Calls

4 calls:

34.0ms	(* (* 3.0 a) c)
23.0ms	(/ 1 (* 3.0 a))
158.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
101.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series552.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
25.0ms	(/ 1 (* 3.0 a))
238.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
257.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.3m

Counts

174 → 174

Iterations

Useful iterations: done (2.3m)

Iter	Nodes	Cost
0	240	4361
done	5000	3781

prune396.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.4b	(* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.4b	(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
40×	`add-cbrt-cube`
37×	`add-sqr-sqrt`
33×	`associate-r`
31×	`*-un-lft-identity`
24×	`times-frac`
23×	`prod-exp`
18×	`add-cube-cbrt`
16×	`pow1` `div-exp`
15×	`cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow-prod-down`
6×	`associate-/l/` `distribute-lft-out--` `difference-of-squares`
5×	`associate-l`
4×	`frac-times` `flip3-+` `associate-*l/` `flip-+` `add-log-exp`
3×	`rec-exp` `distribute-rgt-neg-in` `1-exp` `sqrt-prod` `*-commutative` `unswap-sqr`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `div-inv`
1×	`flip3--` `frac-2neg` `clear-num` `associate-/r` `flip--` `associate-/l`

Counts

4 → 125

Calls

4 calls:

17.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
97.0ms	(* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
43.0ms	(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series387.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
188.0ms	(* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
157.0ms	(/ (* (+ 0 (* (* 3.0 a) c)) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify4.1m

Counts

137 → 137

Iterations

Useful iterations: done (4.1m)

Iter	Nodes	Cost
0	213	3216
done	5000	2674

prune310.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	17	27
1	22	25
done	22	25

end0.0ms

sample2.3s

Algorithm

intervals

Results

622.0ms	16466×	pre	80	true
563.0ms	8466×	body	80	nan
448.0ms	4467×	body	160	valid
168.0ms	3533×	body	80	valid