Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	309×	body	80	valid
1.0ms	13×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	7×	body	320	valid
0.0ms	1×	body	160	valid

simplify251.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	278
7	278
6	276
5	264
4	191
3	82
2	32
1	14
0	7

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 3.0) x 2.0)
0.1b	(* x (* (fma (- 3.0) x 2.0) 3.0))
0.1b	(* (fma (- 3.0) x 2.0) 3.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma (- 3.0) x 2.0)
13.0ms	(* x (* (fma (- 3.0) x 2.0) 3.0))
9.0ms	(* (fma (- 3.0) x 2.0) 3.0)

series474.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(fma (- 3.0) x 2.0)
202.0ms	(* x (* (fma (- 3.0) x 2.0) 3.0))
151.0ms	(* (fma (- 3.0) x 2.0) 3.0)

simplify496.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	664
1	152
0	73

prune333.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 6.0 (* 9.0 x))
0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`prod-diff`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`sub-neg` `fma-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `log1p-expm1-u` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

5.0ms	(- 6.0 (* 9.0 x))
16.0ms	(* x (- 6.0 (* 9.0 x)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- 6.0 (* 9.0 x))
123.0ms	(* x (- 6.0 (* 9.0 x)))

simplify578.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	808
1	197
0	81

prune322.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 3.0 (- x) 2.0)
0.1b	(* (* x (fma 3.0 (- x) 2.0)) 3.0)
0.1b	(* x (fma 3.0 (- x) 2.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

3 → 52

Calls

3 calls:

0.0ms	(fma 3.0 (- x) 2.0)
16.0ms	(* (* x (fma 3.0 (- x) 2.0)) 3.0)
9.0ms	(* x (fma 3.0 (- x) 2.0))

series351.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(fma 3.0 (- x) 2.0)
141.0ms	(* (* x (fma 3.0 (- x) 2.0)) 3.0)
118.0ms	(* x (fma 3.0 (- x) 2.0))

simplify781.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	968
1	180
0	78

prune290.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (fma 9.0 (- x) 6.0) x)) (cbrt (* (fma 9.0 (- x) 6.0) x)))
0.6b	(cbrt (* (fma 9.0 (- x) 6.0) x))
0.6b	(cbrt (* (fma 9.0 (- x) 6.0) x))
0.6b	(cbrt (* (fma 9.0 (- x) 6.0) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

20.0ms	(* (cbrt (* (fma 9.0 (- x) 6.0) x)) (cbrt (* (fma 9.0 (- x) 6.0) x)))
5.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))
5.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))
5.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

651.0ms	(* (cbrt (* (fma 9.0 (- x) 6.0) x)) (cbrt (* (fma 9.0 (- x) 6.0) x)))
233.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))
241.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))
227.0ms	(cbrt (* (fma 9.0 (- x) 6.0) x))

simplify819.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1855
1	446
0	163

prune548.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes73.0ms

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	8
1	8
0	6

end0.0ms

sample835.0ms

Algorithm

intervals

Results

534.0ms	9844×	body	80	valid
56.0ms	344×	body	1280	valid
38.0ms	281×	body	640	valid
16.0ms	159×	body	320	valid
4.0ms	54×	body	160	valid