Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	175×	body	80	valid
10.0ms	34×	body	1280	valid
7.0ms	256×	pre	80	true
5.0ms	23×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify524.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite133.0ms

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

102.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
30.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series124.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
58.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.1s

Counts: 73 → 73

prune717.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 18.2b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

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-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 92

Calls

3 calls:

Slowest

170.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
44.0ms	(/ alpha (+ (+ alpha beta) 2.0))
21.0ms	(/ beta (+ (+ alpha beta) 2.0))

series239.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

115.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
65.0ms	(/ alpha (+ (+ alpha beta) 2.0))
59.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify886.0ms

Counts: 101 → 101

prune793.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize57.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`cbrt-prod`
12×	`add-sqr-sqrt`
9×	`distribute-lft-out`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`difference-of-squares`
1×	`sub-neg` `times-frac` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 64

Calls

4 calls:

Slowest

146.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
19.0ms	(cbrt (+ (+ alpha beta) 2.0))
19.0ms	(cbrt (+ (+ alpha beta) 2.0))
18.0ms	(cbrt (+ (+ alpha beta) 2.0))

series506.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

145.0ms	(cbrt (+ (+ alpha beta) 2.0))
141.0ms	(cbrt (+ (+ alpha beta) 2.0))
122.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
98.0ms	(cbrt (+ (+ alpha beta) 2.0))

simplify873.0ms

Counts: 76 → 76

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite584.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`times-frac`
21×	`distribute-lft-out`
19×	`add-cube-cbrt`
9×	`add-log-exp`
8×	`exp-prod`
6×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/r` `log-pow` `associate-/l`
4×	`log-prod` `div-sub` `insert-posit16`
3×	`associate-+r-`
2×	`sum-log` `flip3-+` `exp-diff` `exp-sum` `associate-/r/` `flip-+` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `frac-2neg` `flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

4 → 102

Calls

4 calls:

Slowest

257.0ms	(exp (+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0))))
244.0ms	(log (exp (+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0)))))
43.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0)))
38.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series399.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(exp (+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0))))
80.0ms	(log (exp (+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0)))))
79.0ms	(+ 1.0 (/ (- beta alpha) (+ (+ alpha beta) 2.0)))
76.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.3s

Counts: 114 → 114

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

regimes402.0ms

Accuracy

95% (0.7b remaining)

Error of 3.6b against oracle of 2.9b and baseline of 16.8b

bsearch16.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

669.0ms	8000×	pre	80	true
565.0ms	5819×	body	80	valid
400.0ms	852×	body	1280	valid
290.0ms	728×	body	640	valid
101.0ms	409×	body	320	valid
32.0ms	192×	body	160	valid