Details

sample51.0ms

Algorithm

intervals

Results

27.0ms	303×	body	80	valid
4.0ms	12×	body	640	valid
2.0ms	6×	body	1280	valid
2.0ms	8×	body	320	valid
0.0ms	1×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3596
5	1412
4	539
3	172
2	51
1	21
0	12

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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))

rewrite162.0ms

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:

13.0ms	(- (/ 2.0 3.0) z)
28.0ms	(* (- y x) 6.0)
26.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
86.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (/ 2.0 3.0) z)
39.0ms	(* (- y x) 6.0)
90.0ms	(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
67.0ms	(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.5s

Counts

320 → 320

Iterations

Iter	Nodes
done	5001
2	3334
1	1103
0	404

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

1468×	`times-frac`
1063×	`add-sqr-sqrt`
1037×	`*-un-lft-identity`
1033×	`add-cube-cbrt`
816×	`prod-diff`
737×	`sqrt-prod`
410×	`distribute-rgt-in` `distribute-lft-in`
43×	`div-inv`
14×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `associate-l` `difference-of-squares`
6×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/l*`
2×	`sub-neg` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef`

Counts

4 → 929

Calls

4 calls:

17.0ms	(* (- y x) 6.0)
74.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
0.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
8.0ms	(/ 2.0 (sqrt 3.0))

series627.0ms

Counts

4 → 10

Calls

4 calls:

42.0ms	(* (- y x) 6.0)
226.0ms	(* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z))
359.0ms	(fma (- y x) (* 6.0 (- (/ (/ 2.0 (sqrt 3.0)) (sqrt 3.0)) z)) x)
0.0ms	(/ 2.0 (sqrt 3.0))

simplify2.7s

Counts

939 → 939

Iterations

Iter	Nodes
done	5000
1	2630
0	1256

prune3.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

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)

rewrite22.0ms

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:

16.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt x) (cbrt x))
553.0ms	(cbrt x)
319.0ms	(cbrt x)
315.0ms	(cbrt x)

simplify3.0s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	4291
3	1197
2	374
1	141
0	67

prune524.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(* (- y x) 6.0)
0.4b	(fma (* (- y x) 6.0) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
1.0b	(/ 2.0 (cbrt 3.0))

rewrite66.0ms

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:

27.0ms	(* (- y x) 6.0)
29.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (- y x) 6.0) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
8.0ms	(/ 2.0 (cbrt 3.0))

series243.0ms

Counts

4 → 10

Calls

4 calls:

37.0ms	(* (- y x) 6.0)
38.0ms	(* (- y x) 6.0)
168.0ms	(fma (* (- y x) 6.0) (- (/ (/ 2.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))) z) x)
0.0ms	(/ 2.0 (cbrt 3.0))

simplify2.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
3	2698
2	710
1	287
0	149

prune769.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes373.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	9361×	body	80	valid
134.0ms	296×	body	640	valid
87.0ms	201×	body	320	valid
65.0ms	147×	body	1280	valid
22.0ms	122×	body	160	valid