Details

sample24.0ms

Algorithm

intervals

Results

9.0ms	316×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	9×	body	1280	valid
0.0ms	2×	body	320	valid

simplify538.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	224
6	224
5	221
4	169
3	80
2	31
1	14
0	7

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

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:

4.0ms	(- 2.0 (* x 3.0))
26.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
17.0ms	(* 3.0 (- 2.0 (* x 3.0)))

series284.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 2.0 (* x 3.0))
134.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)
97.0ms	(* 3.0 (- 2.0 (* x 3.0)))

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1017
1	279
0	113

prune315.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

9.0ms	(- 6.0 (* 9.0 x))
15.0ms	(* (- 6.0 (* 9.0 x)) x)

series149.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- 6.0 (* 9.0 x))
93.0ms	(* (- 6.0 (* 9.0 x)) x)

simplify1.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	1424
2	466
1	165
0	71

prune184.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 6.0 (* x 9.0))
0.1b	(* (+ (- 6.0 (* x 9.0)) (fma (- x) 9.0 (* x 9.0))) x)
53.2b	(fma (- x) 9.0 (* x 9.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

4.0ms	(- 6.0 (* x 9.0))
56.0ms	(* (+ (- 6.0 (* x 9.0)) (fma (- x) 9.0 (* x 9.0))) x)
0.0ms	(fma (- x) 9.0 (* x 9.0))

series350.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(- 6.0 (* x 9.0))
220.0ms	(* (+ (- 6.0 (* x 9.0)) (fma (- x) 9.0 (* x 9.0))) x)
52.0ms	(fma (- x) 9.0 (* x 9.0))

simplify3.0s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	3542
2	701
1	215
0	95

prune387.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

9.0ms	(- 2.0 (* x 3.0))
27.0ms	(* (- 2.0 (* x 3.0)) x)
42.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series340.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- 2.0 (* x 3.0))
121.0ms	(* (- 2.0 (* x 3.0)) x)
165.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify4.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	3628
2	766
1	238
0	101

prune294.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample878.0ms

Algorithm

intervals

Results

557.0ms	9850×	body	80	valid
67.0ms	340×	body	1280	valid
43.0ms	269×	body	640	valid
17.0ms	151×	body	320	valid
5.0ms	62×	body	160	valid