Details

sample32.0ms

Algorithm

intervals

Results

24.0ms

341×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
9	1467
8	947
7	764
6	690
5	551
4	318
3	142
2	61
1	26
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `prod-diff` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (* x 3.0) 4.0)
0.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
6.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series137.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x 3.0) 4.0)
37.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
44.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify472.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	2000
2	553
1	220
0	100

prune245.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

15×	`prod-diff`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
7×	`add-log-exp`
5×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

7.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
8.0ms	(- (* x 9.0) 12.0)
42.0ms	(* x (- (* x 9.0) 12.0))

series155.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
47.0ms	(- (* x 9.0) 12.0)
80.0ms	(* x (- (* x 9.0) 12.0))

simplify611.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2002
2	924
1	327
0	130

prune322.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 12.0)
1.0b	(* (cbrt 12.0) (cbrt 12.0))
1.0b	(* (cbrt 12.0) (cbrt 12.0))
61.9b	(fma (- (cbrt 12.0)) (* (cbrt 12.0) (cbrt 12.0)) (* (cbrt 12.0) (* (cbrt 12.0) (cbrt 12.0))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
35×	`cbrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`pow1`
13×	`pow1/3`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `unswap-sqr`
4×	`expm1-log1p-u` `add-cbrt-cube` `pow-prod-down` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`fma-udef`

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt 12.0)
8.0ms	(* (cbrt 12.0) (cbrt 12.0))
19.0ms	(* (cbrt 12.0) (cbrt 12.0))
0.0ms	(fma (- (cbrt 12.0)) (* (cbrt 12.0) (cbrt 12.0)) (* (cbrt 12.0) (* (cbrt 12.0) (cbrt 12.0))))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt 12.0)
0.0ms	(* (cbrt 12.0) (cbrt 12.0))
0.0ms	(* (cbrt 12.0) (cbrt 12.0))
0.0ms	(fma (- (cbrt 12.0)) (* (cbrt 12.0) (cbrt 12.0)) (* (cbrt 12.0) (* (cbrt 12.0) (cbrt 12.0))))

simplify609.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	2003
3	801
2	312
1	133
0	72

prune516.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 3.0 (- 4.0))
0.1b	(fma x (fma x 3.0 (- 4.0)) 1.0)
0.1b	(* (fma x (fma x 3.0 (- 4.0)) 1.0) 3.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

0.0ms	(fma x 3.0 (- 4.0))
0.0ms	(fma x (fma x 3.0 (- 4.0)) 1.0)
10.0ms	(* (fma x (fma x 3.0 (- 4.0)) 1.0) 3.0)

series202.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(fma x 3.0 (- 4.0))
57.0ms	(fma x (fma x 3.0 (- 4.0)) 1.0)
68.0ms	(* (fma x (fma x 3.0 (- 4.0)) 1.0) 3.0)

simplify692.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	2000
3	1618
2	337
1	123
0	69

prune187.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample1.2s

Algorithm

intervals

Results

987.0ms

10677×

body

valid