Details

sample39.0ms

Algorithm

intervals

Results

20.0ms

333×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4460
5	1221
4	417
3	151
2	62
1	26
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

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))
0.2b	(* (* x 3.0) x)

rewrite347.0ms

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` `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 → 61

Calls

3 calls:

31.0ms	(- (* (* x 3.0) x) (* x 4.0))
291.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
22.0ms	(* (* x 3.0) x)

series268.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(- (* (* x 3.0) x) (* x 4.0))
44.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
61.0ms	(* (* x 3.0) x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	2026
1	331
0	115

prune331.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (- 12.0) x (fma x (* x 9.0) 3.0))
0.0ms	(fma x (* x 9.0) 3.0)

series151.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma (- 12.0) x (fma x (* x 9.0) 3.0))
108.0ms	(fma x (* x 9.0) 3.0)

simplify449.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	899
2	171
1	54
0	34

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

19.0ms	(* 3.0 (+ (fma 3.0 (* x x) (* 4.0 (- x))) 1.0))
0.0ms	(fma 3.0 (* x x) (* 4.0 (- x)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* 3.0 (+ (fma 3.0 (* x x) (* 4.0 (- x))) 1.0))
97.0ms	(fma 3.0 (* x x) (* 4.0 (- x)))

simplify559.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	718
1	183
0	72

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.1b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
0.1b	(fma x (- (* 3.0 x) 4.0) 1.0)
0.2b	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

rewrite56.0ms

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-l` `fma-udef`
6×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-prod` `expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`prod-diff`
2×	`*-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `flip--`

Counts

4 → 82

Calls

4 calls:

7.0ms	(- (* 3.0 x) 4.0)
31.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
1.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
15.0ms	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

series373.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* 3.0 x) 4.0)
133.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0)))
65.0ms	(fma x (- (* 3.0 x) 4.0) 1.0)
104.0ms	(* (cbrt 3.0) (fma x (- (* 3.0 x) 4.0) 1.0))

simplify1.4s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
2	1978
1	387
0	141

prune452.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample964.0ms

Algorithm

intervals

Results

697.0ms

10691×

body

valid