Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	314×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify295.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	278
7	278
6	276
5	264
4	191
3	82
2	32
1	14
0	7

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.0b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

8.0ms	(- 2.0 (* x 3.0))
28.0ms	(* 3.0 (- 2.0 (* x 3.0)))
37.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series266.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- 2.0 (* x 3.0))
73.0ms	(* 3.0 (- 2.0 (* x 3.0)))
148.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify925.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1361
1	280
0	113

prune393.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (- 9.0) x 6.0)
0.1b	(* (fma (- 9.0) x 6.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma (- 9.0) x 6.0)
6.0ms	(* (fma (- 9.0) x 6.0) x)

series240.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(fma (- 9.0) x 6.0)
150.0ms	(* (fma (- 9.0) x 6.0) x)

simplify2.3s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	3468
2	353
1	89
0	47

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (- 3.0) 2.0)
0.2b	(* (* x 3.0) (fma x (- 3.0) 2.0))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

1.0ms	(fma x (- 3.0) 2.0)
27.0ms	(* (* x 3.0) (fma x (- 3.0) 2.0))

series302.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(fma x (- 3.0) 2.0)
229.0ms	(* (* x 3.0) (fma x (- 3.0) 2.0))

simplify774.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	990
1	149
0	59

prune219.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (fma (- x) 3.0 2.0) 3.0)
0.1b	(fma (- x) 3.0 2.0)
0.1b	(* x (* (fma (- x) 3.0 2.0) 3.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

6.0ms	(* (fma (- x) 3.0 2.0) 3.0)
0.0ms	(fma (- x) 3.0 2.0)
14.0ms	(* x (* (fma (- x) 3.0 2.0) 3.0))

series340.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(* (fma (- x) 3.0 2.0) 3.0)
74.0ms	(fma (- x) 3.0 2.0)
151.0ms	(* x (* (fma (- x) 3.0 2.0) 3.0))

simplify485.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
2	652
1	152
0	73

prune287.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample798.0ms

Algorithm

intervals

Results

465.0ms	9836×	body	80	valid
52.0ms	327×	body	1280	valid
32.0ms	267×	body	640	valid
14.0ms	145×	body	320	valid
4.0ms	58×	body	160	valid