Details

sample32.0ms

Algorithm

intervals

Results

11.0ms	298×	body	80	valid
2.0ms	11×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify478.0ms

Counts

1 → 1

Iterations

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

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

53.0ms	(* 3.0 (- 2.0 (* x 3.0)))
52.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series245.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* 3.0 (- 2.0 (* x 3.0)))
163.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify7.5s

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
3	3882
2	813
1	244
0	104

prune579.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

17.0ms	(- 6.0 (* 9.0 x))
52.0ms	(* x (- 6.0 (* 9.0 x)))

series178.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(- 6.0 (* 9.0 x))
113.0ms	(* x (- 6.0 (* 9.0 x)))

simplify6.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2686
2	589
1	189
0	83

prune548.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
0.2b	(* (- (* 9.0 x)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-lft-neg-out` `associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`distribute-lft-neg-in` `+-commutative` `neg-mul-1` `sum-log` `fma-def` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

10.0ms	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
22.0ms	(* (- (* 9.0 x)) x)

series206.0ms

Counts

2 → 6

Calls

2 calls:

155.0ms	(+ (* 6.0 x) (* (- (* 9.0 x)) x))
51.0ms	(* (- (* 9.0 x)) x)

simplify7.0s

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
3	3294
2	761
1	199
0	70

prune547.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 6.0 x (* (- (* 9.0 x)) x))
0.2b	(* (- (* 9.0 x)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-l`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

2.0ms	(fma 6.0 x (* (- (* 9.0 x)) x))
24.0ms	(* (- (* 9.0 x)) x)

series208.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(fma 6.0 x (* (- (* 9.0 x)) x))
78.0ms	(* (- (* 9.0 x)) x)

simplify5.6s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	1852
2	435
1	124
0	57

prune344.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes162.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	21
3	21
2	20
1	15
0	7

end0.0ms

sample869.0ms

Algorithm

intervals

Results

415.0ms	9890×	body	80	valid
128.0ms	272×	body	640	valid
53.0ms	332×	body	1280	valid
13.0ms	134×	body	320	valid
5.0ms	71×	body	160	valid