Details

sample37.0ms

Algorithm

intervals

Results

12.0ms	302×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	6×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

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

prune47.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

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))

rewrite392.0ms

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:

43.0ms	(- (/ 2.0 3.0) z)
37.0ms	(* (- y x) 6.0)
69.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
180.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series288.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (/ 2.0 3.0) z)
43.0ms	(* (- y x) 6.0)
143.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
75.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify5.5s

Counts

320 → 320

Iterations

Iter	Nodes
done	5015
2	3218
1	1110
0	404

prune3.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)))

rewrite680.0ms

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:

50.0ms	(- (/ 2.0 3.0) z)
110.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
119.0ms	(* 6.0 (- (/ 2.0 3.0) z))
217.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(- (/ 2.0 3.0) z)
98.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
55.0ms	(* 6.0 (- (/ 2.0 3.0) z))
71.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify5.2s

Counts

566 → 566

Iterations

Iter	Nodes
done	5000
2	4153
1	1580
0	657

prune3.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

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)

rewrite44.0ms

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:

28.0ms	(* (cbrt x) (cbrt x))
3.0ms	(cbrt x)
4.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt x) (cbrt x))
290.0ms	(cbrt x)
275.0ms	(cbrt x)
260.0ms	(cbrt x)

simplify9.9s

Counts

97 → 97

Iterations

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

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.3b	(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))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

46.0ms	(* (- y x) 6.0)
47.0ms	(* (- y x) 6.0)
1.0ms	(fma (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) (* (- y x) 6.0) x)
9.0ms	(/ 2.0 (cbrt 3.0))

series283.0ms

Counts

4 → 10

Calls

4 calls:

52.0ms	(* (- y x) 6.0)
57.0ms	(* (- y x) 6.0)
173.0ms	(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))

simplify4.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5027
3	2432
2	675
1	287
0	149

prune1.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes983.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample1.4s

Algorithm

intervals

Results

737.0ms	9376×	body	80	valid
90.0ms	259×	body	640	valid
64.0ms	182×	body	320	valid
46.0ms	161×	body	1280	valid
15.0ms	123×	body	160	valid