Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	299×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	4×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1977
4	582
3	172
2	51
1	21
0	12

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

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)))
0.4b	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite239.0ms

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` `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 → 304

Calls

4 calls:

39.0ms	(- (/ 2.0 3.0) z)
32.0ms	(* (- y x) 6.0)
41.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
88.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series238.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (/ 2.0 3.0) z)
43.0ms	(* (- y x) 6.0)
97.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
58.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify768.0ms

Counts

316 → 316

Iterations

Iter	Nodes
done	5001
1	1107
0	400

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite401.0ms

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` `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 → 550

Calls

4 calls:

23.0ms	(- (/ 2.0 3.0) z)
81.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
92.0ms	(* 6.0 (- (/ 2.0 3.0) z))
139.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (/ 2.0 3.0) z)
109.0ms	(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
79.0ms	(* 6.0 (- (/ 2.0 3.0) z))
78.0ms	(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify1.1s

Counts

562 → 562

Iterations

Iter	Nodes
done	5001
1	1649
0	653

prune2.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (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` `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 → 81

Calls

4 calls:

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

series1.1s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt x)
235.0ms	(cbrt x)
286.0ms	(cbrt x)
308.0ms	(* (cbrt x) (cbrt x))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	711
1	142
0	65

prune583.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.9s

Counts

4 → 12

Calls

4 calls:

336.0ms	(cbrt x)
408.0ms	(cbrt (cbrt x))
399.0ms	(cbrt (cbrt x))
716.0ms	(cbrt (cbrt x))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
4	2403
3	656
2	193
1	81
0	46

prune509.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes321.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

750.0ms	9479×	body	80	valid
55.0ms	274×	body	640	valid
40.0ms	160×	body	1280	valid
28.0ms	184×	body	320	valid
11.0ms	107×	body	160	valid