Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2438
7	1183
6	419
5	157
4	80
3	43
2	26
1	13
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (* x x)) (* x x))
0.1b	(* x (* x x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`insert-posit16`
1×	`pow2` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

22.0ms	(+ (* x (* x x)) (* x x))
24.0ms	(* x (* x x))

series116.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(+ (* x (* x x)) (* x x))
36.0ms	(* x (* x x))

simplify1.8s

Counts

45 → 45

Iterations

Iter	Nodes
done	5006
3	2169
2	508
1	155
0	59

prune96.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (log (* x (* x x)))) (* x x))
0.1b	(* x (* x x))
1.9b	(exp (log (* x (* x x))))
39.4b	(log (* x (* x x)))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
16×	`log-pow`
15×	`add-exp-log` `pow-prod-up`
11×	`exp-prod`
9×	`add-cbrt-cube` `pow-prod-down`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `add-log-exp`
4×	`insert-posit16`
3×	`pow2` `pow-plus` `cube-unmult` `rem-log-exp` `associate-l` `pow-sqr` `cbrt-unprod`
2×	`log-prod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `exp-sum` `*-commutative` `flip-+` `unswap-sqr` `rem-exp-log`

Counts

4 → 78

Calls

4 calls:

97.0ms	(+ (exp (log (* x (* x x)))) (* x x))
18.0ms	(* x (* x x))
50.0ms	(exp (log (* x (* x x))))
28.0ms	(log (* x (* x x)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(+ (exp (log (* x (* x x)))) (* x x))
39.0ms	(* x (* x x))
35.0ms	(exp (log (* x (* x x))))
189.0ms	(log (* x (* x x)))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5006
3	2175
2	612
1	259
0	93

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

27.3b	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
27.3b	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
39.4b	(log (* x (* x x)))
39.4b	(log (* x (* x x)))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1`
16×	`add-exp-log` `log-pow`
10×	`pow-prod-up`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `rem-log-exp` `pow-prod-down` `prod-exp` `add-cube-cbrt` `sqrt-prod`
4×	`add-cbrt-cube` `sqrt-div` `insert-posit16` `add-log-exp`
2×	`pow2` `rem-sqrt-square` `log-prod` `sqrt-pow1` `flip3-+` `pow-plus` `pow1/2` `cube-unmult` `pow-sqr` `flip-+`

Counts

4 → 72

Calls

4 calls:

202.0ms	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
180.0ms	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
15.0ms	(log (* x (* x x)))
17.0ms	(log (* x (* x x)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
44.0ms	(sqrt (+ (exp (log (* x (* x x)))) (* x x)))
182.0ms	(log (* x (* x x)))
215.0ms	(log (* x (* x x)))

simplify2.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5031
4	4242
3	1136
2	375
1	151
0	74

prune300.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
1.9b	(exp (posit16->real (real->posit16 (log (* x (* x x))))))
39.4b	(log (* x (* x x)))
41.8b	(posit16->real (real->posit16 (log (* x (* x x)))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

33×	`pow1`
15×	`add-exp-log`
10×	`pow-prod-up`
9×	`add-cbrt-cube`
8×	`log-pow`
7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`exp-prod` `rem-log-exp` `associate-l` `cbrt-unprod`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr`
1×	`log-prod` `associate-r` `*-commutative` `remove-posit16` `unswap-sqr` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

16.0ms	(* x (* x x))
3.0ms	(exp (posit16->real (real->posit16 (log (* x (* x x))))))
23.0ms	(log (* x (* x x)))
0.0ms	(posit16->real (real->posit16 (log (* x (* x x)))))

series539.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* x (* x x))
51.0ms	(exp (posit16->real (real->posit16 (log (* x (* x x))))))
198.0ms	(log (* x (* x x)))
232.0ms	(posit16->real (real->posit16 (log (* x (* x x)))))

simplify1.3s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
3	1520
2	446
1	139
0	75

prune443.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample856.0ms

Algorithm

intervals

Results

583.0ms	8000×	body	80	valid
168.0ms	8000×	pre	80	true