Details

sample32.0ms

Algorithm

intervals

Results

15.0ms	302×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify24.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	50
2	34
1	19
0	8

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma z (+ 5.0 x) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma z (+ 5.0 x) (* x y))

series58.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma z (+ 5.0 x) (* x y))

simplify2.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	1964
3	330
2	90
1	40
0	22

prune80.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (+ 5.0 x) z))
0.0b	(* (+ 5.0 x) z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

0.0ms	(fma x y (* (+ 5.0 x) z))
31.0ms	(* (+ 5.0 x) z)

series97.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(fma x y (* (+ 5.0 x) z))
41.0ms	(* (+ 5.0 x) z)

simplify2.2s

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
3	1949
2	427
1	143
0	62

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `sum-log` `fma-def` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

24.0ms	(* x (+ y z))
24.0ms	(+ (* x (+ y z)) (* z 5.0))

series90.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (+ y z))
43.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify3.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	4513
2	894
1	239
0	78

prune254.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x)))
0.0b	(* (- 5.0 x) z)
0.3b	(* (* (- 5.0 x) z) (+ 5.0 x))
6.8b	(/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-*l/`
17×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`pow1`
9×	`add-cube-cbrt`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`associate-r` `prod-exp` `cbrt-unprod`
6×	`flip3-+` `associate-l` `flip-+`
5×	`associate-/r*` `times-frac`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`associate-/r/` `*-commutative`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `fma-udef` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

0.0ms	(fma x y (/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x)))
30.0ms	(* (- 5.0 x) z)
86.0ms	(* (* (- 5.0 x) z) (+ 5.0 x))
82.0ms	(/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x))

series258.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma x y (/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x)))
46.0ms	(* (- 5.0 x) z)
111.0ms	(* (* (- 5.0 x) z) (+ 5.0 x))
55.0ms	(/ (* (* (- 5.0 x) z) (+ 5.0 x)) (- 5.0 x))

simplify1.8s

Counts

120 → 120

Iterations

Iter	Nodes
done	5001
2	2393
1	512
0	166

prune671.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	9808×	body	80	valid
25.0ms	111×	body	1280	valid
21.0ms	118×	body	640	valid
10.0ms	67×	body	320	valid
3.0ms	34×	body	160	valid