Details

sample95.0ms

Algorithm

intervals

Results

19.0ms	151×	body	160	valid
18.0ms	298×	body	80	nan
17.0ms	554×	pre	80	true
6.0ms	105×	body	80	valid

simplify130.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	12	17
1	25	17
2	67	16
3	124	16
4	137	16
done	137	16

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize14.0ms

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))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 93

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3.0 a) c))
39.0ms	(* (* 3.0 a) c)
138.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
169.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
111.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify23.3s

Counts

105 → 105

Iterations

Useful iterations: done (23.3s)

Iter	Nodes	Cost
0	167	1559
1	1880	1459
done	5001	1290

prune350.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `associate-r` `pow-prod-down` `flip--`
2×	`frac-2neg` `clear-num`
1×	`associate-l` `*-commutative` `fma-udef` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

29.0ms	(* (* 3.0 a) c)
0.0ms	(fma 3.0 (* a c) 0)
58.0ms	(/ (fma 3.0 (* a c) 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
95.0ms	(/ (/ (fma 3.0 (* a c) 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series799.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 3.0 a) c)
32.0ms	(fma 3.0 (* a c) 0)
341.0ms	(/ (fma 3.0 (* a c) 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
399.0ms	(/ (/ (fma 3.0 (* a c) 0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify4.3s

Counts

165 → 165

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	225	4540
1	3701	4228
done	5000	3878

prune610.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`associate-/r*`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`add-cube-cbrt`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-/r/`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `distribute-rgt-neg-in` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-l` `clear-num` `-commutative` `associate-/l`

Counts

4 → 131

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
76.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
79.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* 3.0 a) c)
41.0ms	(* (* 3.0 a) c)
258.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
119.0ms	(/ (* 3.0 a) (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify363.0ms

Counts

143 → 143

Iterations

Useful iterations: done (356.0ms)

Iter	Nodes	Cost
0	187	3303
done	5000	3173

prune634.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

214×	`times-frac`
161×	`add-exp-log`
111×	`add-sqr-sqrt` `*-un-lft-identity`
80×	`div-exp`
77×	`add-cbrt-cube`
63×	`add-cube-cbrt`
48×	`associate-/l*`
46×	`prod-exp`
34×	`cbrt-undiv`
24×	`distribute-lft-out--` `difference-of-squares`
20×	`cbrt-unprod`
15×	`div-inv`
13×	`associate-/r*`
12×	`rec-exp` `distribute-rgt-neg-in` `1-exp` `sqrt-prod`
10×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num` `associate-/r/` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-l` `*-commutative` `flip--` `inv-pow`

Counts

4 → 260

Calls

4 calls:

26.0ms	(* (* 3.0 a) c)
123.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
140.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))
112.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))

series640.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
262.0ms	(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
194.0ms	(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))
161.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))

simplify712.0ms

Counts

272 → 272

Iterations

Useful iterations: done (702.0ms)

Iter	Nodes	Cost
0	374	8131
done	5001	7663

prune894.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes330.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	27
1	20	25
done	20	25

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	16466×	pre	80	true
718.0ms	8466×	body	80	nan
678.0ms	4467×	body	160	valid
291.0ms	3533×	body	80	valid