Details

sample66.0ms

Algorithm

intervals

Results

14.0ms	177×	body	80	valid
13.0ms	30×	body	1280	valid
9.0ms	256×	pre	80	true
9.0ms	27×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify622.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.8b

localize17.0ms

Local error

Found 2 expressions with local error:

3.1b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

rewrite153.0ms

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

122.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
29.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series171.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

93.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
78.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.3s

Counts: 108 → 108

prune918.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 17.6b

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (/ 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))

rewrite762.0ms

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

469.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
184.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
44.0ms	(/ alpha (+ (+ alpha beta) 2.0))
44.0ms	(/ beta (+ (+ alpha beta) 2.0))

series383.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

112.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
104.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
85.0ms	(/ beta (+ (+ alpha beta) 2.0))
83.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify1.4s

Counts: 429 → 429

prune5.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize50.0ms

Local error

Found 4 expressions with local error:

3.1b	(- (/ 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))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
45×	`distribute-lft-out`
21×	`fma-neg`
15×	`cbrt-prod`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
6×	`cbrt-div` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 156

Calls

4 calls:

Slowest

187.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
10.0ms	(cbrt (+ (+ alpha beta) 2.0))
10.0ms	(cbrt (+ (+ alpha beta) 2.0))
10.0ms	(cbrt (+ (+ alpha beta) 2.0))

series521.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

143.0ms	(cbrt (+ (+ alpha beta) 2.0))
137.0ms	(cbrt (+ (+ alpha beta) 2.0))
133.0ms	(cbrt (+ (+ alpha beta) 2.0))
108.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.3s

Counts: 168 → 168

prune2.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize37.0ms

Local error

Found 4 expressions with local error:

10.7b	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
3.1b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.8b	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
0.0b	(/ alpha (+ (+ alpha beta) 2.0))

rewrite826.0ms

Algorithm

rewrite-expression-head

Rules

166×	`*-un-lft-identity`
89×	`add-sqr-sqrt`
78×	`times-frac`
74×	`add-cube-cbrt`
63×	`prod-diff`
48×	`distribute-lft-out`
21×	`fma-neg`
14×	`log-prod`
10×	`associate-/r/`
8×	`log-div`
7×	`exp-sum` `add-exp-log` `distribute-lft-out--`
6×	`pow1` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`associate-/r*` `flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
4×	`expm1-log1p-u` `exp-prod` `exp-diff` `frac-sub` `insert-posit16` `log1p-expm1-u`
3×	`associate-/l*`
2×	`log-pow`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `rem-exp-log`

Counts

4 → 191

Calls

4 calls:

Slowest

319.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
246.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
213.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
44.0ms	(/ alpha (+ (+ alpha beta) 2.0))

series415.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
98.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
85.0ms	(exp (log (- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
60.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify905.0ms

Counts: 203 → 203

prune2.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

regimes192.0ms

Accuracy

75.5% (3.2b remaining)

Error of 6.4b against oracle of 3.2b and baseline of 16.2b

bsearch123.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

577.0ms	5823×	body	80	valid
467.0ms	827×	body	1280	valid
322.0ms	8000×	pre	80	true
312.0ms	753×	body	640	valid
131.0ms	421×	body	320	valid
29.0ms	176×	body	160	valid