Details

sample47.0ms

Algorithm

intervals

Results

19.0ms	250×	body	80	valid
3.0ms	15×	body	320	valid
3.0ms	10×	body	640	valid
2.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2502
5	895
4	343
3	126
2	46
1	23
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.8b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

30.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series201.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(/ (- t x) (- a z))
136.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2144
2	663
1	276
0	120

prune427.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
11.8b	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-l*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 108

Calls

3 calls:

13.0ms	(/ 1 (- a z))
51.0ms	(* (- t x) (/ 1 (- a z)))
0.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

series247.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ 1 (- a z))
82.0ms	(* (- t x) (/ 1 (- a z)))
107.0ms	(fma (- y z) (* (- t x) (/ 1 (- a z))) x)

simplify2.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
3	3563
2	1195
1	373
0	158

prune557.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
11.8b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

41.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series208.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- t x) (- a z))
133.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify1.6s

Counts

72 → 72

Iterations

Iter	Nodes
done	5010
3	2144
2	663
1	276
0	120

prune432.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
2.3b	(+ (/ (- y z) (/ (- a z) (- t x))) x)
6.0b	(/ (- y z) (/ (- a z) (- t x)))

rewrite415.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 443

Calls

3 calls:

49.0ms	(/ (- a z) (- t x))
274.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
51.0ms	(/ (- y z) (/ (- a z) (- t x)))

series723.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- a z) (- t x))
234.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
415.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify1.8s

Counts

452 → 452

Iterations

Iter	Nodes
done	5009
2	3628
1	1152
0	361

prune1.9s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.5b

regimes673.0ms

Accuracy

20.9% (6.2b remaining)

Error of 9.9b against oracle of 3.6b and baseline of 11.5b

bsearch126.0ms

Steps

Iters	Range		Point
8	5.108312120969135e-178	5.5104307175624145e-174	1.082916304047229e-175
8	-4.535093393717798e-77	-8.512415071153562e-82	-2.0167221434791827e-79

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

605.0ms	7809×	body	80	valid
140.0ms	463×	body	640	valid
118.0ms	252×	body	160	valid
79.0ms	284×	body	1280	valid
69.0ms	411×	body	320	valid
4.0ms	11×	body	2560	valid