Details

sample51.0ms

Algorithm

intervals

Results

10.0ms	164×	body	160	valid
9.0ms	519×	pre	80	true
7.0ms	263×	body	80	nan
4.0ms	43×	body	320	valid
1.0ms	49×	body	80	valid

simplify72.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.5b

localize13.0ms

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))
41.1b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite118.0ms

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:

8.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
67.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
22.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
24.0ms	(* (* 3.0 a) c)
109.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.3s

Counts

105 → 105

Iterations

Useful iterations: done (1.3s)

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

prune206.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

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:

59.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms	(* (* 3.0 a) c)
16.0ms	(* 3.0 (* a c))
88.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series373.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
22.0ms	(* (* 3.0 a) c)
20.0ms	(* 3.0 (* a c))
152.0ms	(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.6s

Counts

177 → 177

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	251	4838
1	622	4351
2	2622	3972
done	5000	3970

prune382.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
68×	`add-cbrt-cube`
46×	`prod-exp`
33×	`div-exp`
28×	`cbrt-unprod`
19×	`cbrt-undiv`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`pow1`
8×	`add-cube-cbrt` `times-frac` `1-exp` `associate-/r*`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`distribute-rgt-neg-in` `frac-2neg` `associate-l` `clear-num` `sqrt-prod` `associate-/r/` `-commutative` `div-inv` `associate-/l`
1×	`flip3--` `associate-*r/` `flip--` `associate-/l/`

Counts

4 → 119

Calls

4 calls:

54.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
17.0ms	(* (* 3.0 a) c)
17.0ms	(* (* 3.0 a) c)
64.0ms	(/ (* 1 (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

series373.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms	(* (* 3.0 a) c)
19.0ms	(* (* 3.0 a) c)
149.0ms	(/ (* 1 (/ (* (* 3.0 a) c) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) (* 3.0 a))

simplify1.2s

Counts

131 → 131

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	192	3081
1	525	2862
2	2629	2128
done	5001	2126

prune292.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
0.3b	(/ (* 1 (* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))) (* 3.0 a))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

118×	`add-exp-log`
77×	`add-cbrt-cube`
64×	`prod-exp`
37×	`cbrt-unprod`
32×	`div-exp`
30×	`associate-r`
28×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`times-frac`
18×	`cbrt-undiv`
16×	`add-cube-cbrt`
14×	`pow1`
10×	`1-exp`
6×	`pow-prod-down` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-neg-in` `associate-*r/` `sqrt-prod`
2×	`flip3--` `associate-l` `associate-/r/` `*-commutative` `flip--` `div-inv`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

4 → 135

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
17.0ms	(* (* 3.0 a) c)
79.0ms	(* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
117.0ms	(/ (* 1 (* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))) (* 3.0 a))

series404.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* b b) (* (* 3.0 a) c))
20.0ms	(* (* 3.0 a) c)
183.0ms	(* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))
156.0ms	(/ (* 1 (* (* a 3.0) (/ c (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))) (* 3.0 a))

simplify2.0s

Counts

147 → 147

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	258	3647
1	727	3356
2	4010	2500
done	5000	2497

prune267.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes85.0ms

Accuracy

0% (0.3b 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	18	27
1	24	25
done	24	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

294.0ms	4887×	body	160	valid
277.0ms	16163×	pre	80	true
234.0ms	8163×	body	80	nan
119.0ms	1326×	body	320	valid
56.0ms	1787×	body	80	valid