Details

sample58.0ms

Algorithm

intervals

Results

39.0ms

391×

body

valid

simplify69.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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)

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`
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:

82.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(+ x (* y z))
25.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(* (* a z) b)

series260.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
35.0ms	(+ x (* y z))
67.0ms	(+ (+ x (* y z)) (* t a))
34.0ms	(* (* a z) b)

simplify1.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2160
1	350
0	119

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)

rewrite35.0ms

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:

2.0ms	(cbrt (+ x (* y z)))
2.0ms	(cbrt (+ x (* y z)))
2.0ms	(cbrt (+ x (* y z)))
28.0ms	(* (* a z) b)

series455.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ x (* y z)))
134.0ms	(cbrt (+ x (* y z)))
162.0ms	(cbrt (+ x (* y z)))
29.0ms	(* (* a z) b)

simplify919.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1249
1	271
0	108

prune498.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* t a))
0.0b	(+ y (* b a))
0.0b	(+ (+ x (* t a)) (* z (+ y (* b a))))
3.3b	(* z (+ y (* b a)))

rewrite59.0ms

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:

6.0ms	(+ x (* t a))
7.0ms	(+ y (* b a))
29.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
16.0ms	(* z (+ y (* b a)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ x (* t a))
38.0ms	(+ y (* b a))
122.0ms	(+ (+ x (* t a)) (* z (+ y (* b a))))
72.0ms	(* z (+ y (* b a)))

simplify1.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	2015
1	411
0	130

prune385.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

5.0ms	(+ x (* y z))
7.0ms	(+ (* z b) t)
27.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
19.0ms	(* a (+ (* z b) t))

series252.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (* y z))
31.0ms	(+ (* z b) t)
129.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
51.0ms	(* a (+ (* z b) t))

simplify1.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	2112
1	404
0	127

prune456.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes365.0ms

Accuracy

96.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.7b

bsearch144.0ms

Steps

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

simplify7.0ms

Iterations

Iter	Nodes
done	39
1	39
0	24

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

11851×

body

valid