Details

sample61.0ms

Algorithm

intervals

Results

13.0ms	203×	body	80	valid
8.0ms	256×	pre	80	true
6.0ms	22×	body	1280	valid
4.0ms	15×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	7×	body	160	valid

simplify570.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize24.0ms

Local error

Found 2 expressions with local error:

1.9b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

rewrite166.0ms

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

130.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
33.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series161.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
80.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.3s

Counts: 108 → 108

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

localize23.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))

rewrite721.0ms

Algorithm

rewrite-expression-head

Rules

512×	`*-un-lft-identity`
328×	`add-sqr-sqrt`
263×	`times-frac`
252×	`prod-diff`
213×	`add-cube-cbrt`
150×	`distribute-lft-out`
65×	`associate--r+`
46×	`difference-of-squares`
42×	`fma-neg`
32×	`associate-/r/`
25×	`distribute-lft-out--`
16×	`flip3-+` `flip-+` `div-inv`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `diff-log` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `frac-sub`
1×	`associate--r-`

Counts

4 → 417

Calls

4 calls:

Slowest

426.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
215.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
38.0ms	(/ beta (+ (+ alpha beta) 2.0))
24.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series386.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
96.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
73.0ms	(/ beta (+ (+ alpha beta) 2.0))
70.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify1.3s

Counts: 429 → 429

prune5.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.9b

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.9b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))

rewrite606.0ms

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

371.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
155.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
46.0ms	(/ beta (+ (+ alpha beta) 2.0))
27.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
103.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
78.0ms	(/ alpha (+ (+ alpha beta) 2.0))
72.0ms	(/ beta (+ (+ alpha beta) 2.0))

simplify1.2s

Counts: 281 → 281

prune3.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.9b

localize58.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
1.9b	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
0.1b	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))

rewrite642.0ms

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
148×	`add-sqr-sqrt`
139×	`times-frac`
131×	`add-cube-cbrt`
126×	`prod-diff`
84×	`distribute-lft-out`
68×	`log-prod`
65×	`exp-sum`
21×	`fma-neg` `associate-r`
18×	`associate-/r/`
15×	`add-exp-log`
11×	`add-cbrt-cube`
9×	`flip3-+` `flip-+` `div-inv`
7×	`pow1` `log-pow`
6×	`exp-prod` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`div-exp` `associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `cbrt-unprod` `distribute-lft-out--`
1×	`log-div` `rec-exp` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `1-exp` `rem-log-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip--`

Counts

4 → 276

Calls

4 calls:

Slowest

311.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
204.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
93.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))
28.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series386.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
117.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
85.0ms	(/ alpha (+ (+ alpha beta) 2.0))
64.0ms	(* beta (/ 1 (+ (+ alpha beta) 2.0)))

simplify1.0s

Counts: 288 → 288

prune3.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

regimes158.0ms

Accuracy

74.4% (3.2b remaining)

Error of 6.1b against oracle of 2.9b and baseline of 15.4b

bsearch99.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

690.0ms	5886×	body	80	valid
391.0ms	819×	body	1280	valid
291.0ms	689×	body	640	valid
290.0ms	8000×	pre	80	true
95.0ms	380×	body	320	valid
39.0ms	226×	body	160	valid