Details

sample1.2s

Algorithm

intervals

Results

181.0ms	190×	body	10240	exit
64.0ms	379×	body	80	nan
35.0ms	22×	body	160	valid
22.0ms	238×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
7	2008
6	971
5	282
4	101
3	49
2	30
1	22
0	10

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(sqrt (+ (exp x) 1))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

8.0ms	(+ (exp x) 1)
10.0ms	(sqrt (+ (exp x) 1))

series63.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (exp x) 1)
54.0ms	(sqrt (+ (exp x) 1))

simplify975.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	2000
4	2000
3	1144
2	413
1	142
0	61

prune321.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))
0.0b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.1b	(* (exp x) (exp x))
4.3b	(- 1 (exp x))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
52×	`sqrt-prod`
49×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
42×	`times-frac`
18×	`exp-prod`
11×	`pow1` `add-log-exp`
8×	`add-cbrt-cube`
7×	`distribute-lft-out` `associate-/l*`
6×	`associate-/r*` `add-exp-log`
4×	`sqrt-div` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `flip-+`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `frac-2neg` `pow-plus` `flip3--` `div-exp` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

170.0ms	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))
39.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
15.0ms	(* (exp x) (exp x))
6.0ms	(- 1 (exp x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (sqrt (+ 1 (exp (+ x (+ x x))))) (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))))
32.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
14.0ms	(* (exp x) (exp x))
15.0ms	(- 1 (exp x))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	2000
3	2000
2	1244
1	497
0	224

prune1.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.1b	(* (exp x) (exp x))
0.1b	(/ (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))) (sqrt (sqrt (+ 1 (exp (+ x (+ x x)))))))
4.3b	(- 1 (exp x))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
74×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
60×	`times-frac`
57×	`add-cube-cbrt`
18×	`exp-prod`
11×	`pow1` `add-log-exp`
10×	`associate-/r*`
8×	`add-cbrt-cube`
7×	`distribute-lft-out`
6×	`sqrt-div` `add-exp-log` `associate-/l*`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `flip-+`
2×	`associate-+l+` `sum-log` `sub-neg` `diff-log` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `sqrt-undiv` `clear-num` `frac-2neg` `pow-plus` `flip3--` `div-exp` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

63.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
27.0ms	(* (exp x) (exp x))
146.0ms	(/ (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))) (sqrt (sqrt (+ 1 (exp (+ x (+ x x)))))))
10.0ms	(- 1 (exp x))

series333.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
18.0ms	(* (exp x) (exp x))
240.0ms	(/ (sqrt (+ (- 1 (exp x)) (* (exp x) (exp x)))) (sqrt (sqrt (+ 1 (exp (+ x (+ x x)))))))
26.0ms	(- 1 (exp x))

simplify1.5s

Counts

173 → 173

Iterations

Iter	Nodes
done	2003
3	2003
2	1588
1	523
0	248

prune2.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	5

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.8s	6542×	body	10240	exit
1.6s	12405×	body	80	nan
1.3s	7401×	body	80	valid
192.0ms	725×	body	160	valid