Details

sample86.0ms

Algorithm

intervals

Results

16.0ms	144×	body	160	valid
14.0ms	273×	body	80	nan
14.0ms	529×	pre	80	true
7.0ms	39×	body	320	valid
4.0ms	73×	body	80	valid

simplify121.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.8b

localize379.0ms

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))
38.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite160.0ms

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))
26.0ms	(* (* 3.0 a) c)
87.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 3.0 a) c))
36.0ms	(* (* 3.0 a) c)
169.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
120.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.4s

Counts

85 → 85

Iterations

Useful iterations: done (2.4s)

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

prune292.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

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))

rewrite333.0ms

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:

32.0ms	(* (* 3.0 a) c)
18.0ms	(* (* 3.0 a) c)
123.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
146.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series558.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
274.0ms	(/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
225.0ms	(/ (/ (+ 0 (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.6s

Counts

169 → 169

Iterations

Useful iterations: done (2.6s)

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

prune665.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

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

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
13×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
12×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `pow-prod-down`
4×	`associate-*r/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-l` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sqrt-prod` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
26.0ms	(* (* 3.0 a) c)
120.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
77.0ms	(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series445.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
21.0ms	(* (* 3.0 a) c)
152.0ms	(* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
250.0ms	(/ (+ 0 (* (* 3.0 a) c)) (* (* 3.0 a) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify2.6s

Counts

103 → 103

Iterations

Useful iterations: 2 (623.0ms)

Iter	Nodes	Cost
0	148	1935
1	450	1799
2	3637	1459
done	5000	1459

prune329.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite393.0ms

Algorithm

rewrite-expression-head

Rules

320×	`times-frac`
238×	`add-sqr-sqrt`
227×	`*-un-lft-identity`
142×	`add-cube-cbrt`
117×	`add-exp-log`
88×	`associate-r`
77×	`add-cbrt-cube`
48×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
41×	`prod-exp`
28×	`associate-/l*`
27×	`cbrt-undiv` `cbrt-unprod`
21×	`distribute-rgt-neg-in` `sqrt-prod`
14×	`associate-/r/`
11×	`pow1` `div-inv`
8×	`associate-l`
7×	`flip3--` `flip--`
6×	`associate-/r*`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 309

Calls

4 calls:

107.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
29.0ms	(/ (* (* a c) 3.0) 3.0)
20.0ms	(* (* a c) 3.0)
193.0ms	(* (/ (* (* a c) 3.0) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series454.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
30.0ms	(/ (* (* a c) 3.0) 3.0)
30.0ms	(* (* a c) 3.0)
235.0ms	(* (/ (* (* a c) 3.0) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify796.0ms

Counts

321 → 321

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	413	9113
1	1358	8039
done	5000	6906

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	15	25
1	19	23
2	20	23
done	20	23

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.0s	8249×	body	80	nan
940.0ms	4887×	body	160	valid
693.0ms	16249×	pre	80	true
386.0ms	1298×	body	320	valid
123.0ms	1815×	body	80	valid