Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	191×	body	80	valid
16.0ms	30×	body	1280	valid
11.0ms	256×	pre	80	true
6.0ms	14×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	8×	body	160	valid

simplify583.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize23.0ms

Local error

Found 2 expressions with local error:

2.8b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
50×	`times-frac`
47×	`add-sqr-sqrt`
34×	`distribute-lft-out`
31×	`fma-def`
25×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `associate-/r/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `associate-+l-` `flip--`

Counts

2 → 102

Calls

2 calls:

Slowest

132.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
32.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series162.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
69.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.3s

Counts: 108 → 108

prune994.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 14.9b

localize20.0ms

Local error

Found 4 expressions with local error:

2.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

215×	`*-un-lft-identity`
118×	`add-sqr-sqrt`
116×	`times-frac`
93×	`add-cube-cbrt`
63×	`prod-diff`
60×	`distribute-lft-out`
21×	`fma-neg`
13×	`associate-/r` `associate-/l` `distribute-lft-out--`
12×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`div-inv`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--`
2×	`frac-sub`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 233

Calls

4 calls:

Slowest

1.1s	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
217.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
39.0ms	(/ alpha (+ (+ alpha beta) 2.0))
24.0ms	(/ beta (+ (+ alpha beta) 2.0))

series422.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
122.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
88.0ms	(/ alpha (+ (+ alpha beta) 2.0))
83.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify1000.0ms

Counts: 245 → 245

prune2.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.3b

localize43.0ms

Local error

Found 4 expressions with local error:

2.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
2.8b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

280×	`*-un-lft-identity`
141×	`add-sqr-sqrt`
137×	`times-frac`
131×	`add-cube-cbrt`
126×	`prod-diff`
87×	`distribute-lft-out`
68×	`log-prod`
65×	`exp-sum`
21×	`fma-neg`
18×	`associate-/r/`
10×	`associate-/r*`
9×	`flip3-+` `flip-+` `div-inv`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `div-exp` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 269

Calls

4 calls:

Slowest

342.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
165.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
43.0ms	(/ beta (+ (+ alpha beta) 2.0))
22.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series373.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
112.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
75.0ms	(/ alpha (+ (+ alpha beta) 2.0))
73.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify1.6s

Counts: 281 → 281

prune3.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

localize47.0ms

Local error

Found 4 expressions with local error:

2.9b	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
2.9b	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
2.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
2.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

438×	`*-un-lft-identity`
252×	`prod-diff`
240×	`add-sqr-sqrt`
220×	`add-cube-cbrt`
214×	`times-frac`
142×	`log-prod`
136×	`sqrt-prod`
130×	`exp-sum`
126×	`distribute-lft-out`
42×	`fma-neg`
28×	`associate-/r/`
18×	`log-pow`
14×	`sqrt-pow1` `flip3-+` `flip-+` `div-inv`
12×	`exp-prod`
8×	`pow1` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 388

Calls

4 calls:

Slowest

335.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
331.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
190.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
182.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series642.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

215.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
195.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
123.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
108.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.6s

Counts: 400 → 400

prune8.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 2.3b

regimes223.0ms

Accuracy

77.8% (2.8b remaining)

Error of 6.0b against oracle of 3.1b and baseline of 15.8b

bsearch85.0ms

end0.0ms

sample2.1s

Algorithm

intervals

Results

563.0ms	5820×	body	80	valid
391.0ms	849×	body	1280	valid
375.0ms	709×	body	640	valid
339.0ms	8000×	pre	80	true
131.0ms	415×	body	320	valid
67.0ms	207×	body	160	valid