Details

sample56.0ms

Algorithm

intervals

Results

12.0ms	129×	body	320	valid
8.0ms	496×	pre	80	true
7.0ms	240×	body	80	nan
5.0ms	78×	body	160	valid
2.0ms	18×	body	640	valid
1.0ms	31×	body	80	valid

simplify65.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	12	17
1	21	17
2	41	16
3	75	16
4	88	16
5	96	16
done	96	16

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.3b

localize10.0ms

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))
0.2b	(* (* 3.0 a) c)
26.6b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite117.0ms

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:

8.0ms	(- (* b b) (* (* 3.0 a) c))
66.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms	(* (* 3.0 a) c)
24.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series276.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* b b) (* (* 3.0 a) c))
121.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms	(* (* 3.0 a) c)
87.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify977.0ms

Counts

85 → 85

Iterations

Useful iterations: done (975.0ms)

Iter	Nodes	Cost
0	154	1437
1	410	1361
2	1549	1139
done	5001	1125

prune182.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b	(* (* a c) 3.0)
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite228.0ms

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:

74.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
17.0ms	(* (* a c) 3.0)
16.0ms	(* 3.0 (* a c))
115.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

series394.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
21.0ms	(* (* a c) 3.0)
26.0ms	(* 3.0 (* a c))
156.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) (* 3.0 a))

simplify1.3s

Counts

169 → 169

Iterations

Useful iterations: 2 (476.0ms)

Iter	Nodes	Cost
0	242	4718
1	605	4240
2	2430	3862
done	5000	3862

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a c))
0.3b	(/ (* 3.0 (* a c)) 3.0)
0.3b	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) a))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

155×	`times-frac`
119×	`add-sqr-sqrt`
113×	`add-exp-log`
108×	`*-un-lft-identity`
87×	`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`
13×	`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:

15.0ms	(* 3.0 (* a c))
16.0ms	(* 3.0 (* a c))
20.0ms	(/ (* 3.0 (* a c)) 3.0)
189.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) a))

series220.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 3.0 (* a c))
20.0ms	(* 3.0 (* a c))
20.0ms	(/ (* 3.0 (* a c)) 3.0)
157.0ms	(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))) a))

simplify1.3s

Counts

211 → 211

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	309	5126
1	947	4633
2	3440	3465
done	5000	3464

prune444.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))
0.1b	(* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
0.3b	(* 3.0 (* a c))
0.3b	(/ (/ (* a c) 1) (* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
32×	`add-cbrt-cube`
21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`div-exp`
13×	`times-frac` `prod-exp`
11×	`pow1` `add-cube-cbrt`
10×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`associate-r` `add-log-exp`
7×	`associate-/l*`
6×	`associate-l`
4×	`1-exp` `associate-*r/` `pow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `flip3--` `flip--` `div-inv`
2×	`distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in` `diff-log` `sqrt-prod` `associate-/r/` `*-commutative`
1×	`associate--l-` `neg-sub0` `frac-2neg` `neg-log` `clear-num` `associate-/r*` `associate-/l/` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

30.0ms	(- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))
111.0ms	(* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
15.0ms	(* 3.0 (* a c))
45.0ms	(/ (/ (* a c) 1) (* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))
114.0ms	(* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c))))))
21.0ms	(* 3.0 (* a c))
157.0ms	(/ (/ (* a c) 1) (* a (- (- b) (sqrt (- (pow b 2) (* 3.0 (* a c)))))))

simplify1.1s

Counts

120 → 120

Iterations

Useful iterations: 2 (394.0ms)

Iter	Nodes	Cost
0	208	2458
1	502	2230
2	1797	1712
done	5000	1712

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	21	15
done	21	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

330.0ms	3613×	body	320	valid
279.0ms	16208×	pre	80	true
239.0ms	8208×	body	80	nan
178.0ms	2901×	body	160	valid
62.0ms	518×	body	640	valid
34.0ms	968×	body	80	valid