Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

371×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	43	7
4	55	7
done	55	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

2.0ms	(- 1.0 (* x y))
8.0ms	(* x (- 1.0 (* x y)))

series70.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- 1.0 (* x y))
44.0ms	(* x (- 1.0 (* x y)))

simplify1.4s

Counts

58 → 58

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	81	616
1	171	607
2	458	532
3	1506	520
done	5000	511

prune109.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

8.0ms

(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* x (+ (fma (- y) x (pow (cbrt 1.0) 3)) (* (- x x) y)))

simplify6.5s

Counts

27 → 27

Iterations

Useful iterations: 3 (693.0ms)

Iter	Nodes	Cost
0	58	539
1	169	384
2	530	266
3	1797	230
4	4708	230
done	5000	230

prune76.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
0.6b	(cbrt (* (fma x (- y) 1.0) x))
0.6b	(cbrt (* (fma x (- y) 1.0) x))
0.6b	(cbrt (* (fma x (- y) 1.0) x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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:

5.0ms	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
1.0ms	(cbrt (* (fma x (- y) 1.0) x))
1.0ms	(cbrt (* (fma x (- y) 1.0) x))
1.0ms	(cbrt (* (fma x (- y) 1.0) x))

series1.1s

Counts

4 → 12

Calls

4 calls:

304.0ms	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
278.0ms	(cbrt (* (fma x (- y) 1.0) x))
291.0ms	(cbrt (* (fma x (- y) 1.0) x))
274.0ms	(cbrt (* (fma x (- y) 1.0) x))

simplify522.0ms

Counts

78 → 78

Iterations

Useful iterations: done (519.0ms)

Iter	Nodes	Cost
0	144	1714
1	382	1569
2	1232	1440
done	5001	1373

prune239.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
0.6b	(cbrt (* (fma x (- y) 1.0) x))
0.6b	(cbrt (* (fma x (- y) 1.0) x))
0.6b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 68

Calls

4 calls:

5.0ms	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
1.0ms	(cbrt (* (fma x (- y) 1.0) x))
1.0ms	(cbrt (* (fma x (- y) 1.0) x))
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

290.0ms	(* (cbrt (* (fma x (- y) 1.0) x)) (cbrt (* (fma x (- y) 1.0) x)))
263.0ms	(cbrt (* (fma x (- y) 1.0) x))
457.0ms	(cbrt (* (fma x (- y) 1.0) x))
187.0ms	(cbrt x)

simplify511.0ms

Counts

80 → 80

Iterations

Useful iterations: done (509.0ms)

Iter	Nodes	Cost
0	161	1480
1	414	1343
2	1310	1225
done	5000	1193

prune269.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	15	16
done	15	16

end0.0ms

sample358.0ms

Algorithm

intervals

Results

197.0ms

10686×

body

valid