Details

sample275.0ms

Algorithm

intervals

Results

111.0ms	215×	body	10240	exit
22.0ms	413×	body	80	nan
13.0ms	246×	body	80	valid
2.0ms	16×	body	160	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5006
7	4723
6	971
5	282
4	101
3	49
2	30
1	22
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) 1)
0.2b	(sqrt (+ (exp x) 1))

rewrite37.0ms

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:

13.0ms	(+ (exp x) 1)
18.0ms	(sqrt (+ (exp x) 1))

series64.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (exp x) 1)
50.0ms	(sqrt (+ (exp x) 1))

simplify1.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5011
4	3392
3	1144
2	413
1	142
0	61

prune180.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) 1)
0.0b	(exp (log (sqrt (+ (exp x) 1))))
0.2b	(sqrt (+ (exp x) 1))
0.3b	(log (sqrt (+ (exp x) 1)))

rewrite58.0ms

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)
19.0ms	(exp (log (sqrt (+ (exp x) 1))))
15.0ms	(sqrt (+ (exp x) 1))
10.0ms	(log (sqrt (+ (exp x) 1)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (exp x) 1)
54.0ms	(exp (log (sqrt (+ (exp x) 1))))
52.0ms	(sqrt (+ (exp x) 1))
158.0ms	(log (sqrt (+ (exp x) 1)))

simplify2.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
3	1738
2	563
1	232
0	116

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1)
0.1b	(pow (sqrt E) (log (+ (exp x) 1)))
0.5b	(log (+ (exp x) 1))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `log-prod` `add-cube-cbrt`
7×	`pow1`
6×	`unpow-prod-down`
5×	`add-exp-log` `add-log-exp`
4×	`unpow-prod-up` `log-div` `pow-unpow`
3×	`pow-pow` `flip3-+` `add-cbrt-cube` `sqrt-prod` `flip-+` `insert-posit16` `distribute-lft-out`
2×	`log-pow` `pow-sub`
1×	`pow-to-exp` `+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

3 → 60

Calls

3 calls:

14.0ms	(+ (exp x) 1)
14.0ms	(pow (sqrt E) (log (+ (exp x) 1)))
11.0ms	(log (+ (exp x) 1))

series442.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (exp x) 1)
366.0ms	(pow (sqrt E) (log (+ (exp x) 1)))
63.0ms	(log (+ (exp x) 1))

simplify2.1s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
3	2655
2	832
1	309
0	113

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (exp x) (exp x)) (- 1 (exp x)))
0.4b	(log (+ 1 (exp (+ x (+ x x)))))
3.9b	(- 1 (exp x))
4.3b	(log (+ (* (exp x) (exp x)) (- 1 (exp x))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`log-prod`
6×	`pow1` `add-exp-log` `add-cube-cbrt`
4×	`log-div` `add-cbrt-cube` `insert-posit16`
3×	`flip3-+` `flip-+`
2×	`associate-+r+` `sum-log` `sub-neg` `diff-log` `rem-log-exp` `log-pow` `difference-of-squares`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 63

Calls

4 calls:

37.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
40.0ms	(log (+ 1 (exp (+ x (+ x x)))))
12.0ms	(- 1 (exp x))
38.0ms	(log (+ (* (exp x) (exp x)) (- 1 (exp x))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (exp x) (exp x)) (- 1 (exp x)))
83.0ms	(log (+ 1 (exp (+ x (+ x x)))))
15.0ms	(- 1 (exp x))
133.0ms	(log (+ (* (exp x) (exp x)) (- 1 (exp x))))

simplify2.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5058
3	3409
2	967
1	319
0	136

prune460.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes28.0ms

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	10
1	10
0	7

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.5s	6699×	body	10240	exit
1.1s	12626×	body	80	nan
612.0ms	7421×	body	80	valid
122.0ms	709×	body	160	valid