Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	302×	body	80	valid
2.0ms	9×	body	640	valid
2.0ms	6×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify3.2s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 2.0 3.0) z)
0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.3b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite292.0ms

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:

40.0ms	(- (/ 2.0 3.0) z)
45.0ms	(* (- y x) 6.0)
47.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
129.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series229.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* (- y x) 6.0)
89.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
69.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.6s

Counts

320 → 320

Iterations

Iter	Nodes
done	5012
2	3216
1	1103
0	404

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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	(* 6.0 (- (/ 2.0 3.0) z))
0.1b	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

429×	`prod-diff`
403×	`add-sqr-sqrt`
395×	`*-un-lft-identity`
389×	`add-cube-cbrt`
369×	`distribute-rgt-in` `distribute-lft-in`
308×	`times-frac`
164×	`associate-+r+`
34×	`div-inv`
13×	`fma-neg`
11×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
10×	`associate-*r/`
8×	`flip3--` `associate-l` `flip--` `add-log-exp`
7×	`associate-r`
5×	`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-l/` `-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 554

Calls

4 calls:

24.0ms	(- (/ 2.0 3.0) z)
75.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
81.0ms	(* 6.0 (- (/ 2.0 3.0) z))
119.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 2.0 3.0) z)
94.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
64.0ms	(* 6.0 (- (/ 2.0 3.0) z))
63.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify2.4s

Counts

566 → 566

Iterations

Iter	Nodes
done	5000
2	4680
1	1626
0	657

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 4.0 (* 6.0 z))
0.0b	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.1b	(* (- y x) (- 4.0 (* 6.0 z)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`prod-diff`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`flip3--` `flip--` `add-log-exp`
5×	`pow1` `sub-neg` `add-cbrt-cube` `associate-l` `add-exp-log`
4×	`frac-times`
3×	`expm1-log1p-u` `fma-def` `fma-neg` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`associate-l/` `associate-r/`
1×	`+-commutative` `sum-log` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

9.0ms	(- 4.0 (* 6.0 z))
15.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
50.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

series210.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- 4.0 (* 6.0 z))
90.0ms	(+ x (* (- y x) (- 4.0 (* 6.0 z))))
69.0ms	(* (- y x) (- 4.0 (* 6.0 z)))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5002
2	1539
1	392
0	148

prune505.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite26.0ms

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:

19.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt x) (cbrt x))
253.0ms	(cbrt x)
203.0ms	(cbrt x)
243.0ms	(cbrt x)

simplify3.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5003
4	4334
3	1106
2	364
1	141
0	67

prune514.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

593.0ms	9376×	body	80	valid
85.0ms	182×	body	320	valid
82.0ms	259×	body	640	valid
37.0ms	161×	body	1280	valid
11.0ms	123×	body	160	valid