Details

sample72.0ms

Algorithm

intervals

Results

41.0ms

391×

body

valid

simplify75.0ms

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

localize27.0ms

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))
4.4b	(* (* a z) b)

rewrite115.0ms

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:

72.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
17.0ms	(+ (+ x (* y z)) (* t a))
22.0ms	(* (* a z) b)

series249.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
71.0ms	(+ (+ x (* y z)) (* t a))
48.0ms	(* (* a z) b)

simplify1.6s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1330
1	286
0	99

prune321.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

26.0ms	(* (* a z) b)
20.0ms	(cbrt (* (* a z) b))
11.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* a z) b))

series394.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* a z) b)
107.0ms	(cbrt (* (* a z) b))
103.0ms	(cbrt (* (* a z) b))
145.0ms	(cbrt (* (* a z) b))

simplify2.0s

Counts

57 → 57

Iterations

Iter	Nodes
done	5004
3	2073
2	572
1	186
0	76

prune546.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize356.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* a z) b)
10.5b	(cbrt (* a z))
14.1b	(cbrt (* (* a z) b))
14.1b	(cbrt (* (* a z) b))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

22.0ms	(* (* a z) b)
3.0ms	(cbrt (* a z))
11.0ms	(cbrt (* (* a z) b))
10.0ms	(cbrt (* (* a z) b))

series398.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* a z) b)
104.0ms	(cbrt (* a z))
115.0ms	(cbrt (* (* a z) b))
149.0ms	(cbrt (* (* a z) b))

simplify1.9s

Counts

57 → 57

Iterations

Iter	Nodes
done	5002
3	2260
2	667
1	224
0	93

prune482.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.3b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite147.0ms

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)
113.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
28.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt b)
209.0ms	(cbrt b)
48.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
122.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.5s

Counts

86 → 86

Iterations

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

prune440.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes883.0ms

Accuracy

86% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.1b

bsearch130.0ms

Steps

Iters	Range		Point
5	6.395342713711809e+19	1.857844040408564e+20	6.4832796670992065e+19
8	-3.236922250557709e+34	-5.90791172990774e+31	-2.830774317957566e+34

simplify5.0ms

Iterations

Iter	Nodes
done	35
1	35
0	22

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11917×

body

valid