Details

sample60.0ms

Algorithm

intervals

Results

36.0ms	104×	body	1280	valid
8.0ms	121×	body	80	valid
5.0ms	17×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	6×	body	160	valid

simplify18.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize39.0ms

Local error

Found 4 expressions with local error:

1.9b	(- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))
0.0b	(/ 1/2 (hypot 1 x))
0.0b	(+ (/ 1/2 (hypot 1 x)) 1/2)
0.0b	(sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

Slowest

29.0ms	(- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))
17.0ms	(sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))
9.0ms	(+ (/ 1/2 (hypot 1 x)) 1/2)
4.0ms	(/ 1/2 (hypot 1 x))

series182.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

72.0ms	(- 1 (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)))
64.0ms	(sqrt (+ (/ 1/2 (hypot 1 x)) 1/2))
41.0ms	(+ (/ 1/2 (hypot 1 x)) 1/2)
6.0ms	(/ 1/2 (hypot 1 x))

simplify1.8s

Counts: 90 → 90

prune780.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 14.1b

localize68.0ms

Local error

Found 4 expressions with local error:

1.5b	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
0.0b	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
0.0b	(/ (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
0.0b	(/ 1/2 (hypot 1 x))

rewrite878.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
30×	`distribute-lft-out`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-log-exp`
9×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`sum-log` `associate-/l*`
4×	`pow1` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `associate-/r/` `flip-+` `div-inv` `flip--` `associate--r+` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sub-neg` `distribute-lft-in` `diff-log` `div-sub`

Counts

4 → 106

Calls

4 calls:

Slowest

504.0ms	(/ (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
362.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
6.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
4.0ms	(/ 1/2 (hypot 1 x))

series431.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

238.0ms	(/ (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
100.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
88.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
6.0ms	(/ 1/2 (hypot 1 x))

simplify3.7s

Counts: 118 → 118

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 14.1b

localize65.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))
1.5b	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
0.0b	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
0.0b	(/ (log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))

rewrite807.0ms

Algorithm

rewrite-expression-head

Rules

109×	`*-un-lft-identity`
54×	`distribute-lft-out`
42×	`times-frac`
32×	`log-pow`
28×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`exp-prod`
15×	`add-log-exp`
12×	`pow1`
7×	`associate-/l*`
6×	`associate-/r*` `sum-log` `add-cbrt-cube` `add-exp-log`
5×	`log-prod`
4×	`insert-posit16`
2×	`log-div` `sub-neg` `flip3-+` `exp-diff` `exp-sum` `associate-/r/` `flip-+` `associate--r+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-sub` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

4 → 123

Calls

4 calls:

Slowest

395.0ms	(/ (log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
386.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
15.0ms	(log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))
9.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

231.0ms	(/ (log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2))))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
124.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
112.0ms	(log (exp (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))))
94.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)

simplify2.1s

Counts: 135 → 135

prune2.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.1b

localize48.0ms

Local error

Found 4 expressions with local error:

1.5b	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
1.5b	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
0.5b	(/ (sqrt (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
0.0b	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)

rewrite785.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
48×	`distribute-lft-out`
36×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt`
21×	`sqrt-prod`
17×	`add-log-exp`
6×	`associate-/r` `sum-log` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`pow1` `insert-posit16` `associate--r+`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3-+` `sqrt-div` `diff-log` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 113

Calls

4 calls:

Slowest

398.0ms	(/ (sqrt (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
371.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)
8.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
4.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

326.0ms	(/ (sqrt (- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))) (+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1))
133.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
127.0ms	(- 1 (* (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)))
97.0ms	(+ (+ (sqrt (+ (/ 1/2 (hypot 1 x)) 1/2)) (+ (/ 1/2 (hypot 1 x)) 1/2)) 1)

simplify2.7s

Counts: 125 → 125

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 14.1b

regimes126.0ms

Accuracy

0% (0.0b remaining)

Error of 14.6b against oracle of 14.6b and baseline of 14.6b

bsearch6.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.3s	2857×	body	1280	valid
414.0ms	4102×	body	80	valid
278.0ms	611×	body	640	valid
82.0ms	279×	body	320	valid
28.0ms	151×	body	160	valid