Details

sample60.0ms

Algorithm

intervals

Results

13.0ms	191×	body	80	valid
7.0ms	22×	body	1280	valid
7.0ms	27×	body	640	valid
6.0ms	256×	pre	80	true
2.0ms	10×	body	320	valid
1.0ms	6×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.6b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite338.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3-+` `div-sub` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `div-inv`

Counts

2 → 65

Calls

2 calls:

95.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
238.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series185.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
94.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.7s

Counts: 71 → 71

prune194.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
1.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
31×	`times-frac`
28×	`add-sqr-sqrt`
24×	`distribute-lft-out`
23×	`add-cube-cbrt`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 89

Calls

3 calls:

47.0ms	(/ alpha (+ (+ alpha beta) 2.0))
38.0ms	(/ beta (+ (+ alpha beta) 2.0))
245.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series226.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(/ alpha (+ (+ alpha beta) 2.0))
56.0ms	(/ beta (+ (+ alpha beta) 2.0))
96.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.6s

Counts: 98 → 98

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

localize29.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
63×	`cbrt-prod`
46×	`times-frac`
36×	`add-sqr-sqrt`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 105

Calls

4 calls:

274.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
30.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
25.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
35.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series739.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
213.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
197.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
212.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify1.5s

Counts: 117 → 117

prune491.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize24.0ms

Local error

Found 4 expressions with local error:

1.6b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
5.4b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite695.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
63×	`cbrt-prod`
46×	`times-frac`
38×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
27×	`distribute-lft-out`
7×	`log-pow`
6×	`exp-prod` `associate-/r/`
5×	`pow1` `log-prod`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
2×	`exp-sum` `difference-of-squares`
1×	`sub-neg` `log-div` `exp-diff` `rem-log-exp` `distribute-lft-out--`

Counts

4 → 111

Calls

4 calls:

603.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
31.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
18.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
31.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
198.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
257.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
228.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify1.4s

Counts: 123 → 123

prune602.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.6b

regimes197.0ms

Accuracy

98.2% (0.2b remaining)

Error of 3.1b against oracle of 2.9b and baseline of 15.9b

bsearch2.0ms

simplify862.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

581.0ms	8000×	pre	80	true
397.0ms	5869×	body	80	valid
250.0ms	728×	body	640	valid
224.0ms	836×	body	1280	valid
54.0ms	351×	body	320	valid
22.0ms	216×	body	160	valid