Details

sample56.0ms

Algorithm

intervals

Results

13.0ms	175×	body	80	valid
11.0ms	34×	body	1280	valid
9.0ms	256×	pre	80	true
7.0ms	23×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	5×	body	160	valid

simplify680.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize33.0ms

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))

rewrite227.0ms

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

195.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
30.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series159.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

82.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
76.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.2s

Counts: 108 → 108

prune985.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 18.2b

localize36.0ms

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))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
91×	`times-frac`
85×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
63×	`prod-diff`
60×	`distribute-lft-out`
21×	`fma-neg`
12×	`associate-/r/`
10×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 182

Calls

3 calls:

Slowest

175.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
36.0ms	(/ alpha (+ (+ alpha beta) 2.0))
30.0ms	(/ beta (+ (+ alpha beta) 2.0))

series242.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

107.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
68.0ms	(/ beta (+ (+ alpha beta) 2.0))
67.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify1.5s

Counts: 191 → 191

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize76.0ms

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))

rewrite240.0ms

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

198.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
17.0ms	(cbrt (+ (+ alpha beta) 2.0))
11.0ms	(cbrt (+ (+ alpha beta) 2.0))
11.0ms	(cbrt (+ (+ alpha beta) 2.0))

series539.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

161.0ms	(cbrt (+ (+ alpha beta) 2.0))
148.0ms	(cbrt (+ (+ alpha beta) 2.0))
143.0ms	(cbrt (+ (+ alpha beta) 2.0))
87.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.5s

Counts: 168 → 168

prune2.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize93.0ms

Local error

Found 4 expressions with local error:

2.9b	(expm1 (log1p (cbrt (+ (+ alpha beta) 2.0))))
1.6b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
0.7b	(cbrt (+ (+ alpha beta) 2.0))
0.7b	(cbrt (+ (+ alpha beta) 2.0))

rewrite569.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 150

Calls

4 calls:

Slowest

546.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
10.0ms	(cbrt (+ (+ alpha beta) 2.0))
10.0ms	(cbrt (+ (+ alpha beta) 2.0))
0.0ms	(expm1 (log1p (cbrt (+ (+ alpha beta) 2.0))))

series642.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

349.0ms	(expm1 (log1p (cbrt (+ (+ alpha beta) 2.0))))
113.0ms	(cbrt (+ (+ alpha beta) 2.0))
101.0ms	(cbrt (+ (+ alpha beta) 2.0))
79.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify845.0ms

Counts: 162 → 162

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

regimes193.0ms

Accuracy

72.7% (3.8b remaining)

Error of 6.7b against oracle of 2.9b and baseline of 16.9b

bsearch62.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

610.0ms	5819×	body	80	valid
442.0ms	852×	body	1280	valid
338.0ms	728×	body	640	valid
313.0ms	8000×	pre	80	true
106.0ms	409×	body	320	valid
35.0ms	192×	body	160	valid