Details

sample78.0ms

Algorithm

intervals

Results

31.0ms	310×	body	80	valid
4.0ms	10×	body	640	valid
2.0ms	5×	body	1280	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3251
5	1293
4	501
3	166
2	50
1	21
0	12

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize110.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

199×	`add-sqr-sqrt`
195×	`prod-diff`
191×	`*-un-lft-identity`
185×	`add-cube-cbrt`
146×	`times-frac`
82×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
16×	`div-inv`
13×	`fma-neg`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`associate-r`
8×	`flip3--` `flip--` `add-log-exp`
6×	`associate-l`
5×	`sub-neg` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 308

Calls

4 calls:

55.0ms	(- (/ 2.0 3.0) z)
100.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
78.0ms	(* (- y x) 6.0)
204.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series261.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 2.0 3.0) z)
124.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
41.0ms	(* (- y x) 6.0)
69.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify6.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	5005
2	3233
1	1113
0	404

prune3.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize241.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(fma (* (- (/ 2.0 3.0) z) (- y x)) 6.0 x)
0.2b	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
0.3b	(* (- (/ 2.0 3.0) z) (- y x))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
14×	`associate-l`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`associate-r`
8×	`flip3--` `flip--`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`*-commutative` `distribute-lft-out--`
2×	`sub-neg` `unswap-sqr`
1×	`times-frac` `fma-udef`

Counts

4 → 115

Calls

4 calls:

74.0ms	(* (- y x) 6.0)
3.0ms	(fma (* (- (/ 2.0 3.0) z) (- y x)) 6.0 x)
94.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
216.0ms	(* (- (/ 2.0 3.0) z) (- y x))

series313.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- y x) 6.0)
85.0ms	(fma (* (- (/ 2.0 3.0) z) (- y x)) 6.0 x)
95.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
77.0ms	(* (- (/ 2.0 3.0) z) (- y x))

simplify4.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1925
1	564
0	228

prune1.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

37.0ms	(* (cbrt x) (cbrt x))
3.0ms	(cbrt x)
2.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt x) (cbrt x))
291.0ms	(cbrt x)
309.0ms	(cbrt x)
326.0ms	(cbrt x)

simplify9.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5006
4	4197
3	1088
2	378
1	142
0	67

prune1.3s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize210.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.2b	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
0.5b	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
1.0b	(/ 2.0 (cbrt 3.0))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

74.0ms	(* (- y x) 6.0)
82.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
1.0ms	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
12.0ms	(/ 2.0 (cbrt 3.0))

series362.0ms

Counts

4 → 10

Calls

4 calls:

53.0ms	(* (- y x) 6.0)
120.0ms	(* (fma (- z) 1 (* z 1)) (* (- y x) 6.0))
188.0ms	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
0.0ms	(/ 2.0 (cbrt 3.0))

simplify8.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	4557
2	949
1	349
0	174

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	25
1	25
0	18

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.3s	9550×	body	80	valid
72.0ms	244×	body	640	valid
51.0ms	140×	body	1280	valid
35.0ms	162×	body	320	valid
17.0ms	112×	body	160	valid