Details

sample139.0ms

Algorithm

intervals

Results

52.0ms	141×	body	160	valid
21.0ms	299×	body	80	nan
19.0ms	555×	pre	80	true
9.0ms	115×	body	80	valid

simplify143.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* 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))
29.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite191.0ms

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:

12.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* (* 3.0 a) c)
105.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
47.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (* b b) (* (* 3.0 a) c))
37.0ms	(* (* 3.0 a) c)
164.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
108.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify2.3s

Counts

105 → 105

Iterations

Useful iterations: done (2.3s)

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

prune438.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

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

rewrite337.0ms

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:

38.0ms	(* (* 3.0 a) c)
33.0ms	(* 3.0 (* a c))
150.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
99.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series541.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
33.0ms	(* 3.0 (* a c))
215.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))
270.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.9s

Counts

177 → 177

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	251	4838
1	622	4351
2	2625	3972
done	5001	3970

prune566.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 3.0 a) c)
0.3b	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
0.3b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
61×	`add-exp-log`
59×	`*-un-lft-identity`
46×	`times-frac`
37×	`add-cbrt-cube`
31×	`add-cube-cbrt` `associate-l`
26×	`prod-exp`
16×	`pow1` `div-exp`
14×	`cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
11×	`associate-r`
8×	`cbrt-undiv`
7×	`distribute-rgt-neg-in` `pow-prod-down` `associate-/r*` `sqrt-prod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`-commutative` `div-inv` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/` `unswap-sqr`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `associate-l/` `clear-num` `un-div-inv` `flip-+`

Counts

4 → 160

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
188.0ms	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
35.0ms	(* 3.0 (* a c))
103.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* 3.0 a) c)
265.0ms	(* (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (/ 1 (* 3.0 a)))
26.0ms	(* 3.0 (* a c))
305.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify2.2s

Counts

172 → 172

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	257	4432
1	682	3911
2	2886	3387
done	5000	3385

prune599.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* (* 3.0 a) c) (* 3.0 a))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
14×	`pow1`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `div-exp` `associate-r*` `pow-prod-down` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
2×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `times-frac` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

4 → 83

Calls

4 calls:

18.0ms	(- (* b b) (* (* 3.0 a) c))
35.0ms	(* (* 3.0 a) c)
36.0ms	(* (* 3.0 a) c)
57.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

series177.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* b b) (* (* 3.0 a) c))
27.0ms	(* (* 3.0 a) c)
32.0ms	(* (* 3.0 a) c)
27.0ms	(/ (* (* 3.0 a) c) (* 3.0 a))

simplify1.6s

Counts

95 → 95

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	105	1026
1	286	950
2	1800	654
done	5001	635

prune287.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	23
1	15	23
done	15	23

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.1s	16384×	pre	80	true
789.0ms	4511×	body	160	valid
683.0ms	8384×	body	80	nan
294.0ms	3489×	body	80	valid