Details

sample91.0ms

Algorithm

intervals

Results

42.0ms

391×

body

valid

simplify277.0ms

Counts

1 → 1

Iterations

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

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
5.7b	(* (* a z) b)

rewrite402.0ms

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`
4×	`insert-posit16`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

263.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(+ x (* y z))
59.0ms	(+ (+ x (* y z)) (* t a))
48.0ms	(* (* a z) b)

series402.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
40.0ms	(+ x (* y z))
108.0ms	(+ (+ x (* y z)) (* t a))
63.0ms	(* (* a z) b)

simplify3.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5003
2	1399
1	342
0	119

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt b)
0.5b	(cbrt b)
2.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.6b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite319.0ms

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:

2.0ms	(cbrt b)
2.0ms	(cbrt b)
227.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
83.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series711.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt b)
240.0ms	(cbrt b)
73.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
171.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify3.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1025
1	272
0	99

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize124.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* y z)))
0.5b	(cbrt (+ x (* y z)))
0.5b	(cbrt (+ x (* y z)))
5.7b	(* (* a z) b)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

7.0ms	(cbrt (+ x (* y z)))
7.0ms	(cbrt (+ x (* y z)))
7.0ms	(cbrt (+ x (* y z)))
38.0ms	(* (* a z) b)

series723.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (+ x (* y z)))
239.0ms	(cbrt (+ x (* y z)))
252.0ms	(cbrt (+ x (* y z)))
39.0ms	(* (* a z) b)

simplify5.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3138
2	841
1	269
0	108

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (* b z) t)
0.0b	(+ (+ x (* y z)) (* a (+ (* b z) t)))
3.4b	(* a (+ (* b z) t))

rewrite178.0ms

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` `insert-posit16`
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 → 67

Calls

4 calls:

14.0ms	(+ x (* y z))
27.0ms	(+ (* b z) t)
67.0ms	(+ (+ x (* y z)) (* a (+ (* b z) t)))
67.0ms	(* a (+ (* b z) t))

series335.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (* y z))
39.0ms	(+ (* b z) t)
192.0ms	(+ (+ x (* y z)) (* a (+ (* b z) t)))
67.0ms	(* a (+ (* b z) t))

simplify4.0s

Counts

79 → 79

Iterations

Iter	Nodes
done	5011
2	1920
1	411
0	129

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes1.7s

Accuracy

96.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.8b

bsearch193.0ms

Steps

Iters	Range		Point
6	2.1235330551537814e-44	1.306862823613787e-43	1.2529910400748553e-43
9	-1.7784764344423359e+37	-1.5148427629100208e+29	-9.83355154561418e+29

simplify29.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

11851×

body

valid