Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

360×

body

valid

simplify107.0ms

Counts

1 → 1

Iterations

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.8b	(* (* a z) b)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ x (* y z))
18.0ms	(+ (+ x (* y z)) (* t a))
114.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

series243.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y z))
69.0ms	(+ (+ x (* y z)) (* t a))
118.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(* (* a z) b)

simplify1.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5010
2	1630
1	344
0	115

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.4b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.7b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite161.0ms

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×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
127.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
30.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series770.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt b)
303.0ms	(cbrt b)
69.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
156.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.7s

Counts

86 → 86

Iterations

Iter	Nodes
done	5003
3	4753
2	1016
1	270
0	96

prune525.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ t (* b z))))
2.2b	(* a (+ t (* b z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

4.0ms	(+ x (* y z))
19.0ms	(+ (+ x (* y z)) (* a (+ t (* b z))))
17.0ms	(* a (+ t (* b z)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (* y z))
97.0ms	(+ (+ x (* y z)) (* a (+ t (* b z))))
66.0ms	(* a (+ t (* b z)))

simplify1.3s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1595
1	391
0	120

prune508.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

2.2b	(* a (+ t (* b z)))
4.3b	(cbrt (* a (+ t (* b z))))
4.3b	(cbrt (* a (+ t (* b z))))
4.3b	(cbrt (* a (+ t (* b z))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

19.0ms	(* a (+ t (* b z)))
7.0ms	(cbrt (* a (+ t (* b z))))
7.0ms	(cbrt (* a (+ t (* b z))))
7.0ms	(cbrt (* a (+ t (* b z))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* a (+ t (* b z)))
131.0ms	(cbrt (* a (+ t (* b z))))
159.0ms	(cbrt (* a (+ t (* b z))))
178.0ms	(cbrt (* a (+ t (* b z))))

simplify2.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	5010
3	3196
2	806
1	252
0	92

prune586.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes590.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

728.0ms

11905×

body

valid