Details

sample144.0ms

Algorithm

intervals

Results

28.0ms	106×	body	320	valid
23.0ms	282×	body	80	nan
21.0ms	538×	pre	80	true
18.0ms	105×	body	160	valid
7.0ms	20×	body	640	valid
2.0ms	25×	body	80	valid

simplify158.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.8b

localize21.0ms

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))
0.3b	(* (* 3.0 a) c)
27.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite182.0ms

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:

16.0ms	(- (* b b) (* (* 3.0 a) c))
96.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.0ms	(* (* 3.0 a) c)
27.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* b b) (* (* 3.0 a) c))
147.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.0ms	(* (* 3.0 a) c)
133.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts

105 → 105

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	167	1559
1	440	1478
2	1684	1247
done	5000	1234

prune397.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite396.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 165

Calls

4 calls:

124.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
24.0ms	(* (* 3.0 a) c)
31.0ms	(* (* a c) 3.0)
201.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series603.0ms

Counts

4 → 12

Calls

4 calls:

298.0ms	(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
26.0ms	(* (* 3.0 a) c)
26.0ms	(* (* a c) 3.0)
253.0ms	(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.0s

Counts

177 → 177

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	255	4841
1	637	4352
2	2831	3973
done	5000	3971

prune741.0ms

Pruning

7 alts after pruning (7 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	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(/ (+ 0 (* (* a c) 3.0)) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))
0.3b	(* (* a c) 3.0)

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `associate-l` `pow-prod-down`
7×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `-commutative` `associate-/l`
2×	`flip3--` `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 → 95

Calls

4 calls:

36.0ms	(* (* 3.0 a) c)
196.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
76.0ms	(/ (+ 0 (* (* a c) 3.0)) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))
33.0ms	(* (* a c) 3.0)

series432.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* 3.0 a) c)
141.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
223.0ms	(/ (+ 0 (* (* a c) 3.0)) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))
29.0ms	(* (* a c) 3.0)

simplify1.9s

Counts

107 → 107

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	183	2013
1	497	1874
2	2734	1517
done	5001	1515

prune445.0ms

Pruning

7 alts after pruning (6 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)
0.3b	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.4b	(* (/ 1 3.0) (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite383.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac`
113×	`add-exp-log`
100×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
73×	`add-cbrt-cube`
55×	`add-cube-cbrt`
49×	`associate-r`
45×	`div-exp`
41×	`prod-exp`
26×	`cbrt-undiv`
25×	`cbrt-unprod`
16×	`pow1`
15×	`associate-l`
14×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
13×	`associate-/l*`
10×	`div-inv`
7×	`flip3--` `distribute-rgt-neg-in` `pow-prod-down` `sqrt-prod` `flip--`
6×	`unswap-sqr`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/l/`

Counts

4 → 222

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
118.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
209.0ms	(* (/ 1 3.0) (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series558.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
39.0ms	(* (* 3.0 a) c)
234.0ms	(/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
252.0ms	(* (/ 1 3.0) (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify2.4s

Counts

234 → 234

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	320	6564
1	904	6088
2	3853	5190
done	5000	5188

prune923.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes203.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	23	23
done	23	23

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.6s	3704×	body	320	valid
718.0ms	16215×	pre	80	true
620.0ms	8215×	body	80	nan
513.0ms	2939×	body	160	valid
189.0ms	462×	body	640	valid
106.0ms	895×	body	80	valid