Details

sample54.0ms

Algorithm

intervals

Results

25.0ms

369×

body

valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	121
5	121
4	120
3	95
2	56
1	26
0	13

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
3.9b	(* (* a z) b)

rewrite180.0ms

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`
2×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

33.0ms	(+ (+ x (* y z)) (* t a))
118.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(* (* a z) b)

series182.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ (+ x (* y z)) (* t a))
100.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
29.0ms	(* (* a z) b)

simplify684.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1836
1	291
0	99

prune290.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
2.6b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite154.0ms

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)
111.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
37.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series716.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(cbrt b)
237.0ms	(cbrt b)
57.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (cbrt b))
170.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1715
1	280
0	97

prune491.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* (* (cbrt b) (cbrt b)) (* a z)) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
2.6b	(* (* (cbrt b) (cbrt b)) (* a z))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

85×	`pow1` `add-exp-log`
62×	`pow-prod-down` `prod-exp` `cbrt-unprod`
49×	`add-cbrt-cube`
6×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
224.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
33.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

series765.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt b)
272.0ms	(cbrt b)
77.0ms	(* (* (* (cbrt b) (cbrt b)) (* a z)) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))
162.0ms	(* (* (cbrt b) (cbrt b)) (* a z))

simplify1.1s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2109
1	404
0	124

prune460.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* t a))
0.0b	(+ (+ x (* t a)) (* z (+ y (* b a))))
0.0b	(+ y (* b a))
2.9b	(* z (+ y (* b a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

4.0ms	(+ x (* t a))
22.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
4.0ms	(+ y (* b a))
15.0ms	(* z (+ y (* b a)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (* t a))
118.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
39.0ms	(+ y (* b a))
75.0ms	(* z (+ y (* b a)))

simplify774.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	2155
1	408
0	126

prune476.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes848.0ms

Accuracy

62.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.0b

bsearch175.0ms

Steps

Iters	Range		Point
10	2.257206341322858e+84	7.86973597900608e+94	2.423286906516461e+84
7	-1.1821904179442674e+142	-5.553707245034027e+139	-2.2869169138621178e+140

simplify5.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

11867×

body

valid