Details

sample57.0ms

Algorithm

intervals

Results

27.0ms

373×

body

valid

simplify114.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
5.1b	(* (* a z) b)

rewrite143.0ms

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:

81.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
26.0ms	(+ (+ x (* y z)) (* t a))
8.0ms	(+ x (* y z))
27.0ms	(* (* a z) b)

series256.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
79.0ms	(+ (+ x (* y z)) (* t a))
42.0ms	(+ x (* y z))
30.0ms	(* (* a z) b)

simplify1.3s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
2	2013
1	344
0	115

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite148.0ms

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)
98.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
46.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series704.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt b)
273.0ms	(cbrt b)
65.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
141.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1708
1	277
0	96

prune556.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt b))
0.6b	(cbrt (cbrt b))
1.0b	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
4.2b	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

78×	`pow1` `add-exp-log`
57×	`pow-prod-down` `prod-exp` `cbrt-unprod`
41×	`add-cbrt-cube`
21×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt (cbrt b))
1.0ms	(cbrt (cbrt b))
947.0ms	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
269.0ms	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

series890.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt (cbrt b))
375.0ms	(cbrt (cbrt b))
48.0ms	(* (* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b))))) (cbrt b))
129.0ms	(* (* a z) (* (cbrt b) (* (* (cbrt (cbrt b)) (cbrt (cbrt b))) (cbrt (cbrt b)))))

simplify1.4s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2200
1	397
0	140

prune595.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (+ (* b z) t)))
0.0b	(+ x (* y z))
3.0b	(* a (+ (* b z) t))

rewrite62.0ms

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:

27.0ms	(+ (+ x (* y z)) (* a (+ (* b z) t)))
4.0ms	(+ x (* y z))
28.0ms	(* a (+ (* b z) t))

series255.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(+ (+ x (* y z)) (* a (+ (* b z) t)))
43.0ms	(+ x (* y z))
72.0ms	(* a (+ (* b z) t))

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	1794
1	392
0	120

prune377.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes618.0ms

Accuracy

74.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.0b

bsearch152.0ms

Steps

Iters	Range		Point
7	9.345563708831118e-74	3.6929333590207295e-72	1.3894886297241432e-73
10	-3.76194415417031e+113	-5.057691904221478e+99	-2.711362632576515e+101

simplify8.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s

11840×

body

valid