Details

sample52.0ms

Algorithm

intervals

Results

36.0ms

341×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	4353
10	2586
9	1467
8	947
7	764
6	690
5	551
4	318
3	142
2	61
1	26
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

17.0ms	(- (* (* x 3.0) x) (* x 4.0))
210.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
15.0ms	(* (* x 3.0) x)

series282.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(- (* (* x 3.0) x) (* x 4.0))
61.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
61.0ms	(* (* x 3.0) x)

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1260
1	328
0	118

prune311.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--`

Counts

2 → 33

Calls

2 calls:

10.0ms	(- (fma 9.0 (* x x) 3.0) (* x 12.0))
1.0ms	(fma 9.0 (* x x) 3.0)

series124.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (fma 9.0 (* x x) 3.0) (* x 12.0))
91.0ms	(fma 9.0 (* x x) 3.0)

simplify2.4s

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
3	1967
2	449
1	139
0	56

prune192.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.2b	(* (- (* x 3.0) 4.0) (* x 3.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

15.0ms	(- (* x 3.0) 4.0)
49.0ms	(* (- (* x 3.0) 4.0) (* x 3.0))

series205.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(- (* x 3.0) 4.0)
145.0ms	(* (- (* x 3.0) 4.0) (* x 3.0))

simplify1.9s

Counts

48 → 48

Iterations

Iter	Nodes
done	5004
3	2107
2	588
1	216
0	87

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

7.0ms	(- (* 3.0 x) 4.0)
0.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
52.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0)))
9.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0))

series325.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* 3.0 x) 4.0)
44.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
107.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0)))
97.0ms	(* (fma x (- (* 3.0 x) 4.0) 1.0) (cbrt 3.0))

simplify3.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
3	4289
2	957
1	321
0	139

prune365.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s

10539×

body

valid