Details

sample1.0s

Algorithm

intervals

Results

728.0ms	222×	body	10240	exit
70.0ms	391×	body	80	nan
31.0ms	241×	body	80	valid
5.0ms	21×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

6.0ms	(+ (exp x) 1)
9.0ms	(sqrt (+ (exp x) 1))

series64.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (exp x) 1)
55.0ms	(sqrt (+ (exp x) 1))

simplify916.0ms

Counts

36 → 36

Iterations

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

prune153.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(sqrt (+ (exp x) 1))
0.0b	(exp (log (sqrt (+ (exp x) 1))))
0.4b	(log (sqrt (+ (exp x) 1)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
12×	`sqrt-prod`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`exp-sum`
6×	`exp-prod` `sqrt-div` `log-pow` `add-log-exp`
5×	`add-exp-log`
4×	`log-div` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `distribute-lft-out`
3×	`sqrt-pow1` `pow1/2`
2×	`exp-diff`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

4 → 75

Calls

4 calls:

12.0ms	(+ (exp x) 1)
11.0ms	(sqrt (+ (exp x) 1))
8.0ms	(exp (log (sqrt (+ (exp x) 1))))
8.0ms	(log (sqrt (+ (exp x) 1)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1)
43.0ms	(sqrt (+ (exp x) 1))
53.0ms	(exp (log (sqrt (+ (exp x) 1))))
136.0ms	(log (sqrt (+ (exp x) 1)))

simplify1.2s

Counts

87 → 87

Iterations

Iter	Nodes
done	2011
4	2011
3	1715
2	568
1	229
0	116

prune399.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(exp (* 1/2 (log (+ (exp x) 1))))
0.3b	(log (+ (exp x) 1))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`exp-sum`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-exp-log` `distribute-lft-out`
3×	`add-cbrt-cube` `insert-posit16`
2×	`log-div` `flip3-+` `flip-+`
1×	`+-commutative` `exp-prod` `sum-log` `exp-to-pow` `rem-log-exp` `log-pow` `rem-exp-log`

Counts

3 → 48

Calls

3 calls:

13.0ms	(+ (exp x) 1)
23.0ms	(exp (* 1/2 (log (+ (exp x) 1))))
11.0ms	(log (+ (exp x) 1))

series223.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp x) 1)
128.0ms	(exp (* 1/2 (log (+ (exp x) 1))))
86.0ms	(log (+ (exp x) 1))

simplify1.2s

Counts

57 → 57

Iterations

Iter	Nodes
done	2001
4	2001
3	1296
2	485
1	196
0	94

prune220.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1 (exp x)) (* (exp x) (exp x)))
0.0b	(exp (+ x (+ x x)))
0.1b	(* (exp x) (exp x))
4.4b	(- 1 (exp x))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

32×	`exp-prod`
30×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
17×	`add-log-exp`
11×	`pow1`
8×	`distribute-lft-out`
6×	`add-cbrt-cube`
5×	`sum-log` `distribute-rgt1-in`
4×	`distribute-rgt-out` `pow-prod-down` `add-exp-log` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`swap-sqr` `associate-r` `associate-l` `rem-exp-log`
2×	`associate-+l+` `sub-neg` `distribute-lft1-in` `count-2` `diff-log` `difference-of-squares`
1×	`pow2` `+-commutative` `flip3-+` `pow-plus` `flip3--` `exp-sum` `prod-exp` `*-commutative` `associate-+l-` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

48.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
52.0ms	(exp (+ x (+ x x)))
27.0ms	(* (exp x) (exp x))
19.0ms	(- 1 (exp x))

series89.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (- 1 (exp x)) (* (exp x) (exp x)))
15.0ms	(exp (+ x (+ x x)))
21.0ms	(* (exp x) (exp x))
15.0ms	(- 1 (exp x))

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	2010
3	2010
2	1043
1	345
0	135

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample9.5s

Algorithm

intervals

Results

6.1s	6395×	body	10240	exit
1.4s	12576×	body	80	nan
1.3s	7410×	body	80	valid
237.0ms	708×	body	160	valid