Details

sample74.0ms

Algorithm

intervals

Results

15.0ms	554×	pre	80	true
15.0ms	151×	body	160	valid
14.0ms	298×	body	80	nan
5.0ms	105×	body	80	valid

simplify147.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.4b	(+ (- 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:

14.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
95.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
35.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* b b) (* (* 3.0 a) c))
34.0ms	(* (* 3.0 a) c)
141.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
134.0ms	(+ (- 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	1681	1247
done	5000	1234

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* 3.0 (* a c))
0.4b	(/ (+ 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))

rewrite286.0ms

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:

26.0ms	(* (* 3.0 a) c)
33.0ms	(* 3.0 (* a c))
75.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
145.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series638.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* 3.0 a) c)
32.0ms	(* 3.0 (* a c))
328.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
249.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify3.1s

Counts

177 → 177

Iterations

Useful iterations: done (3.1s)

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

prune642.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite714.0ms

Algorithm

rewrite-expression-head

Rules

7290×	`times-frac`
2921×	`add-sqr-sqrt` `*-un-lft-identity`
2409×	`add-cube-cbrt`
319×	`div-inv`
269×	`associate-/r/`
256×	`distribute-lft-out--` `difference-of-squares`
206×	`add-exp-log`
153×	`div-exp`
141×	`associate-/r*`
128×	`distribute-rgt-neg-in` `sqrt-prod`
127×	`flip3--` `flip--`
83×	`add-cbrt-cube`
45×	`cbrt-undiv`
30×	`1-exp` `prod-exp`
15×	`cbrt-unprod`
14×	`pow1` `associate-/l*`
12×	`rec-exp`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `associate-l` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 2032

Calls

4 calls:

193.0ms	(/ (/ 1 1) (/ 3.0 (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
33.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
113.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(/ (/ 1 1) (/ 3.0 (/ (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)))
41.0ms	(* (* 3.0 a) c)
24.0ms	(* (* 3.0 a) c)
247.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.7s

Counts

2044 → 2044

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	2935	111817
done	5000	97410

prune6.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

19935×	`times-frac`
7751×	`add-sqr-sqrt` `*-un-lft-identity`
6199×	`add-cube-cbrt`
776×	`distribute-lft-out--` `difference-of-squares`
601×	`div-inv`
388×	`distribute-rgt-neg-in` `sqrt-prod`
315×	`associate-/r*`
247×	`add-exp-log`
203×	`div-exp`
142×	`associate-/r/`
96×	`add-cbrt-cube`
62×	`cbrt-undiv`
35×	`1-exp`
21×	`associate-/l*`
19×	`prod-exp`
14×	`rec-exp`
9×	`pow1` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num` `associate-/l/`
1×	`flip3--` `div-sub` `associate-l` `*-commutative` `flip--`

Counts

4 → 4248

Calls

4 calls:

116.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
267.0ms	(/ (/ 1 1) (/ 3.0 (/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)) a)))
22.0ms	(* (* 3.0 a) c)
101.0ms	(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

series710.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)
236.0ms	(/ (/ 1 1) (/ 3.0 (/ (/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c)) a)))
27.0ms	(* (* 3.0 a) c)
326.0ms	(/ (* 3.0 a) (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) c))

simplify2.9s

Counts

4260 → 4260

Iterations

Useful iterations: 0 (693.0ms)

Iter	Nodes	Cost
0	5468	232077
done	5468	232077

prune24.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes158.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: done (12.0ms)

Iter	Nodes	Cost
0	22	35
1	26	29
done	26	27

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	16466×	pre	80	true
796.0ms	8466×	body	80	nan
733.0ms	4467×	body	160	valid
422.0ms	3533×	body	80	valid