Details

sample95.0ms

Algorithm

intervals

Results

35.0ms	103×	body	1280	valid
25.0ms	88×	body	640	valid
12.0ms	389×	pre	80	true
6.0ms	41×	body	320	valid
5.0ms	138×	body	80	valid
2.0ms	19×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	10
2	10
1	9
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize6.0ms

Local error

Found 1 expressions with local error:

5.2b	(- (exp x) 1)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
4×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `difference-of-sqr-1` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--`

Counts

1 → 17

Calls

1 calls:

8.0ms

(- (exp x) 1)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (exp x) 1)

simplify867.0ms

Counts

20 → 20

Iterations

Iter	Nodes
done	2010
5	2010
4	1333
3	609
2	233
1	92
0	42

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

2 → 43

Calls

2 calls:

30.0ms	(* (* x x) (+ (* x 1/6) 1/2))
5.0ms	(* x 1/6)

series101.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* (* x x) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)

simplify1.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	2010
3	2010
2	1000
1	269
0	81

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (+ -1 (exp x)))
5.2b	(log (exp (+ -1 (exp x))))
5.2b	(+ -1 (exp x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

31.0ms	(exp (+ -1 (exp x)))
15.0ms	(log (exp (+ -1 (exp x))))
5.0ms	(+ -1 (exp x))

series109.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(exp (+ -1 (exp x)))
22.0ms	(log (exp (+ -1 (exp x))))
27.0ms	(+ -1 (exp x))

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	2003
4	2003
3	1005
2	398
1	156
0	68

prune376.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

5.2b	(+ -1 (exp x))
5.2b	(+ -1 (exp x))
5.3b	(log (sqrt (exp (+ -1 (exp x)))))
5.3b	(log (sqrt (exp (+ -1 (exp x)))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod` `log-pow`
10×	`add-sqr-sqrt` `sqrt-pow1` `add-cube-cbrt`
8×	`pow1` `exp-prod` `sqrt-prod` `add-log-exp`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out`
2×	`+-commutative` `sum-log` `flip3-+` `pow1/2` `rem-log-exp` `exp-sum` `flip-+`

Counts

4 → 72

Calls

4 calls:

5.0ms	(+ -1 (exp x))
7.0ms	(+ -1 (exp x))
15.0ms	(log (sqrt (exp (+ -1 (exp x)))))
22.0ms	(log (sqrt (exp (+ -1 (exp x)))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ -1 (exp x))
15.0ms	(+ -1 (exp x))
135.0ms	(log (sqrt (exp (+ -1 (exp x)))))
143.0ms	(log (sqrt (exp (+ -1 (exp x)))))

simplify1.2s

Counts

84 → 84

Iterations

Iter	Nodes
done	2004
4	2004
3	985
2	412
1	160
0	83

prune699.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes167.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3527×	body	1280	valid
574.0ms	2490×	body	640	valid
364.0ms	11915×	pre	80	true
144.0ms	1170×	body	320	valid
129.0ms	4111×	body	80	valid
49.0ms	617×	body	160	valid