Details

sample51.0ms

Algorithm

intervals

Results

32.0ms

370×

body

valid

simplify121.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	89
2	54
1	26
0	13

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a (+ t (* z b))) x)
0.0b	(+ (* z y) (+ (* a (+ t (* z b))) x))
0.0b	(+ t (* z b))
1.3b	(* a (+ t (* z b)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

17.0ms	(+ (* a (+ t (* z b))) x)
25.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
5.0ms	(+ t (* z b))
11.0ms	(* a (+ t (* z b)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* a (+ t (* z b))) x)
111.0ms	(+ (* z y) (+ (* a (+ t (* z b))) x))
36.0ms	(+ t (* z b))
62.0ms	(* a (+ t (* z b)))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5013
2	1230
1	338
0	110

prune400.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
6.2b	(* (* a z) b)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
9×	`sum-log`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 48

Calls

3 calls:

115.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ (+ x (* y z)) (* t a))
20.0ms	(* (* a z) b)

series226.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
50.0ms	(+ (+ x (* y z)) (* t a))
41.0ms	(* (* a z) b)

simplify1.4s

Counts

57 → 57

Iterations

Iter	Nodes
done	5004
2	1262
1	288
0	102

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
108.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
25.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt b)
229.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
145.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	4751
2	1015
1	276
0	99

prune452.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)
6.1b	(* (* (* (cbrt (cbrt b)) (cbrt b)) (* (cbrt (cbrt b)) (cbrt b))) (* a z))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1` `add-exp-log`
31×	`pow-prod-down` `prod-exp` `cbrt-unprod`
29×	`add-cbrt-cube`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 77

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)
171.0ms	(* (* (* (cbrt (cbrt b)) (cbrt b)) (* (cbrt (cbrt b)) (cbrt b))) (* a z))

series1.1s

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt b)
236.0ms	(cbrt b)
257.0ms	(cbrt b)
346.0ms	(* (* (* (cbrt (cbrt b)) (cbrt b)) (* (cbrt (cbrt b)) (cbrt b))) (* a z))

simplify1.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1061
1	262
0	98

prune446.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes564.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.8s

11799×

body

valid