Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	62	11
3	144	10
4	264	10
5	334	10
6	378	10
7	456	10
8	763	10
9	1240	10
10	1578	10
11	1608	10
done	1608	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
3.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

series70.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
41.0ms	(* 3.0 (fma x (- (* x 3.0) 4.0) 1.0))

simplify1.0s

Counts

38 → 38

Iterations

Useful iterations: 3 (172.0ms)

Iter	Nodes	Cost
0	57	482
1	117	473
2	398	411
3	1875	408
done	5001	408

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- (* x 9.0) 12.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

12.0ms

(* x (- (* x 9.0) 12.0))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* x (- (* x 9.0) 12.0))

simplify2.5s

Counts

35 → 35

Iterations

Useful iterations: 3 (393.0ms)

Iter	Nodes	Cost
0	83	439
1	174	382
2	678	323
3	3457	311
done	5001	311

prune66.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

18.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
5.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

series160.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0)))
29.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
61.0ms	(* (cbrt 3.0) (fma x (- (* x 3.0) 4.0) 1.0))

simplify3.9s

Counts

73 → 73

Iterations

Useful iterations: 3 (653.0ms)

Iter	Nodes	Cost
0	100	1285
1	248	1265
2	898	961
3	4805	832
done	5000	832

prune139.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
0.2b	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `fma-udef` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
5.0ms	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
11.0ms	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
29.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
126.0ms	(* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))
42.0ms	(* (* 3.0 (sqrt (fma x (- (* x 3.0) 4.0) 1.0))) (sqrt (fma x (- (* x 3.0) 4.0) 1.0)))

simplify518.0ms

Counts

79 → 79

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	112	1430
1	284	1129
2	1049	969
done	5000	960

prune167.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample393.0ms

Algorithm

intervals

Results

267.0ms

10738×

body

valid