Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	191×	body	80	valid
15.0ms	30×	body	1280	valid
10.0ms	256×	pre	80	true
5.0ms	14×	body	640	valid
4.0ms	13×	body	320	valid
2.0ms	8×	body	160	valid

simplify511.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize35.0ms

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))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
25×	`times-frac`
19×	`distribute-lft-out`
14×	`add-cube-cbrt`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `insert-posit16` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `div-exp` `associate-+l-` `div-inv` `flip--`

Counts

2 → 67

Calls

2 calls:

Slowest

115.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
38.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series168.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
75.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.2s

Counts: 73 → 73

prune623.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.9b

localize39.0ms

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)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
56×	`times-frac`
36×	`add-cube-cbrt`
24×	`distribute-lft-out`
13×	`associate-/r` `associate-/l` `distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
6×	`add-log-exp`
4×	`pow1` `associate-/r/` `insert-posit16` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`flip3-+` `frac-sub` `flip-+`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 141

Calls

4 calls:

Slowest

957.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
173.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
35.0ms	(/ alpha (+ (+ alpha beta) 2.0))
22.0ms	(/ beta (+ (+ alpha beta) 2.0))

series396.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
114.0ms	(/ (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)) 2.0)
83.0ms	(/ alpha (+ (+ alpha beta) 2.0))
79.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify736.0ms

Counts: 153 → 153

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

localize28.0ms

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))

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`distribute-lft-out`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`associate-/r/` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `exp-sum` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 114

Calls

4 calls:

Slowest

286.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
183.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
32.0ms	(/ alpha (+ (+ alpha beta) 2.0))
22.0ms	(/ beta (+ (+ alpha beta) 2.0))

series341.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
87.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
80.0ms	(/ alpha (+ (+ alpha beta) 2.0))
59.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify989.0ms

Counts: 126 → 126

prune1.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.3b

localize40.0ms

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)

rewrite947.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `log-pow`
16×	`log-prod`
14×	`sqrt-pow1`
12×	`exp-prod`
10×	`add-cube-cbrt` `sqrt-prod`
8×	`pow1` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `add-cbrt-cube` `exp-sum` `insert-posit16` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

328.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
273.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
199.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
145.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series659.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

242.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
218.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
104.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
95.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.2s

Counts: 98 → 98

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.3b

regimes237.0ms

Accuracy

77.8% (2.8b remaining)

Error of 6.0b against oracle of 3.2b and baseline of 15.8b

bsearch69.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	5820×	body	80	valid
454.0ms	849×	body	1280	valid
385.0ms	8000×	pre	80	true
249.0ms	709×	body	640	valid
150.0ms	415×	body	320	valid
65.0ms	207×	body	160	valid