Details

sample41.0ms

Algorithm

intervals

Results

12.0ms	203×	body	80	valid
6.0ms	256×	pre	80	true
6.0ms	22×	body	1280	valid
3.0ms	15×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	7×	body	160	valid

simplify660.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize22.0ms

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))

rewrite164.0ms

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

118.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
45.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

series146.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

78.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)
68.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))

simplify1.1s

Counts: 73 → 73

prune725.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.9b

localize40.0ms

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))

rewrite597.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
32×	`times-frac`
24×	`add-cube-cbrt` `distribute-lft-out`
11×	`add-log-exp`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
4×	`pow1` `diff-log` `associate-/r/` `insert-posit16` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `flip3--` `flip--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `frac-sub` `flip-+` `div-inv` `associate--r+`
1×	`associate--r-`

Counts

4 → 115

Calls

4 calls:

Slowest

354.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
183.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
32.0ms	(/ alpha (+ (+ alpha beta) 2.0))
24.0ms	(/ beta (+ (+ alpha beta) 2.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

113.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
105.0ms	(- (/ beta (+ (+ alpha beta) 2.0)) (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))
82.0ms	(/ beta (+ (+ alpha beta) 2.0))
62.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify1.9s

Counts: 127 → 127

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize45.0ms

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))

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`distribute-lft-out`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`exp-prod` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`associate-/r/` `insert-posit16` `difference-of-squares`
2×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `exp-sum` `flip-+` `div-inv` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 114

Calls

4 calls:

Slowest

350.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
164.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
44.0ms	(/ alpha (+ (+ alpha beta) 2.0))
44.0ms	(/ beta (+ (+ alpha beta) 2.0))

series368.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

131.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
128.0ms	(log (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)))
59.0ms	(/ beta (+ (+ alpha beta) 2.0))
49.0ms	(/ alpha (+ (+ alpha beta) 2.0))

simplify922.0ms

Counts: 126 → 126

prune1.5s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite924.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `log-pow`
16×	`log-prod`
14×	`sqrt-pow1`
12×	`exp-prod`
10×	`add-cube-cbrt` `sqrt-prod`
8×	`pow1` `add-log-exp` `difference-of-squares`
6×	`add-exp-log`
4×	`sub-neg` `times-frac` `add-cbrt-cube` `exp-sum` `insert-posit16` `distribute-lft-out--`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

325.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
257.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
174.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
167.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series703.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

246.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
237.0ms	(log (sqrt (exp (- (/ alpha (+ (+ alpha beta) 2.0)) 1.0))))
116.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
104.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.2s

Counts: 98 → 98

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

regimes183.0ms

Accuracy

74.4% (3.2b remaining)

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

bsearch115.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

974.0ms	5886×	body	80	valid
476.0ms	819×	body	1280	valid
347.0ms	8000×	pre	80	true
314.0ms	689×	body	640	valid
105.0ms	380×	body	320	valid
41.0ms	226×	body	160	valid