Details

sample117.0ms

Algorithm

intervals

Results

25.0ms	153×	body	160	valid
20.0ms	250×	body	80	nan
19.0ms	506×	pre	80	true
9.0ms	35×	body	320	valid
6.0ms	68×	body	80	valid

simplify137.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	76	16
4	96	16
5	104	16
done	104	16

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
37.7b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite166.0ms

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:

15.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
107.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (* b b) (* (* 3.0 a) c))
27.0ms	(* (* 3.0 a) c)
182.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
107.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.3s

Counts

85 → 85

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	154	1437
1	437	1361
2	2544	1143
done	5000	1133

prune253.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

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:

17.0ms	(* (* 3.0 a) c)
22.0ms	(* (* 3.0 a) c)
90.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
127.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series551.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
256.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
234.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.5s

Counts

169 → 169

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	223	4721
1	587	4243
2	3847	3883
done	5002	3879

prune674.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize39.0ms

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

rewrite333.0ms

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:

17.0ms	(* (* 3.0 a) c)
15.0ms	(/ 1 (* 3.0 a))
76.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
217.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
24.0ms	(/ 1 (* 3.0 a))
251.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
251.0ms	(* (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))

simplify3.1s

Counts

174 → 174

Iterations

Useful iterations: 2 (877.0ms)

Iter	Nodes	Cost
0	240	4361
1	699	3826
2	4699	3330
done	5000	3330

prune723.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize50.0ms

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

rewrite501.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
237×	`add-sqr-sqrt`
226×	`*-un-lft-identity`
141×	`add-cube-cbrt`
113×	`add-exp-log`
91×	`associate-r`
73×	`add-cbrt-cube`
45×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
41×	`prod-exp`
27×	`cbrt-unprod` `associate-/l*`
24×	`cbrt-undiv`
21×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`pow1`
14×	`associate-/r/`
10×	`div-inv`
9×	`associate-l`
7×	`flip3--` `pow-prod-down` `flip--`
5×	`rec-exp` `1-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-/r` `-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 304

Calls

4 calls:

26.0ms	(* (* 3.0 a) c)
102.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
37.0ms	(* (* a c) 3.0)
317.0ms	(* (/ (* (* a c) 3.0) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series383.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
154.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
23.0ms	(* (* a c) 3.0)
183.0ms	(* (/ (* (* a c) 3.0) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify760.0ms

Counts

316 → 316

Iterations

Useful iterations: done (741.0ms)

Iter	Nodes	Cost
0	422	8998
1	1386	7961
done	5001	6858

prune967.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes273.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	25
1	18	23
2	19	23
done	19	23

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.2s	4896×	body	160	valid
1.0s	8179×	body	80	nan
569.0ms	16179×	pre	80	true
300.0ms	1320×	body	320	valid
182.0ms	1784×	body	80	valid