Details

sample94.0ms

Algorithm

intervals

Results

28.0ms	537×	pre	80	true
13.0ms	135×	body	160	valid
13.0ms	281×	body	80	nan
9.0ms	60×	body	320	valid
3.0ms	61×	body	80	valid

simplify97.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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: 44.3b

localize26.0ms

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))
37.5b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite202.0ms

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))
37.0ms	(* (* 3.0 a) c)
96.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
47.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series395.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* b b) (* (* 3.0 a) c))
30.0ms	(* (* 3.0 a) c)
161.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
140.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.9s

Counts

105 → 105

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	167	1559
1	440	1478
2	1681	1247
done	5000	1234

prune328.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite315.0ms

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

Counts

4 → 165

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
35.0ms	(* 3.0 (* a c))
102.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
136.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series575.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* 3.0 a) c)
28.0ms	(* 3.0 (* a c))
278.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
236.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.5s

Counts

177 → 177

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	251	4838
1	622	4351
2	2622	3972
done	5001	3970

prune627.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite213.0ms

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`
11×	`associate-l`
9×	`add-cube-cbrt` `pow-prod-down`
5×	`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:

19.0ms	(* (* 3.0 a) c)
19.0ms	(* 3.0 (* a c))
100.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
71.0ms	(/ (+ 0 (* 3.0 (* a c))) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* 3.0 a) c)
22.0ms	(* 3.0 (* a c))
108.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
171.0ms	(/ (+ 0 (* 3.0 (* a c))) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))

simplify1.6s

Counts

107 → 107

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	179	2010
1	482	1873
2	2513	1516
done	5002	1514

prune359.0ms

Pruning

8 alts after pruning (7 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	(* c (* 3.0 a))
0.3b	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(/ (+ 0 (* 1 (* c (* 3.0 a)))) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
19×	`pow1`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
12×	`prod-exp` `cbrt-unprod`
11×	`associate-l`
9×	`add-cube-cbrt` `pow-prod-down`
5×	`associate-r`
4×	`expm1-log1p-u` `times-frac` `associate-l/` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/` `distribute-lft-out` `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 → 97

Calls

4 calls:

19.0ms	(* (* 3.0 a) c)
20.0ms	(* c (* 3.0 a))
124.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
87.0ms	(/ (+ 0 (* 1 (* c (* 3.0 a)))) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))

series418.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
26.0ms	(* c (* 3.0 a))
122.0ms	(* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
247.0ms	(/ (+ 0 (* 1 (* c (* 3.0 a)))) (* (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a)))

simplify1.7s

Counts

109 → 109

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	179	2145
1	476	1920
2	2812	1563
done	5000	1561

prune453.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes201.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	18	27
1	23	23
done	23	23

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.1s	4896×	body	160	valid
841.0ms	16347×	pre	80	true
622.0ms	8347×	body	80	nan
251.0ms	1333×	body	320	valid
120.0ms	1771×	body	80	valid