Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

374×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	1258
8	482
7	248
6	176
5	157
4	150
3	90
2	35
1	13
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

36.0ms

(* (* x x) (- 3.0 (* x 2.0)))

series118.0ms

Counts

1 → 3

Calls

1 calls:

118.0ms

(* (* x x) (- 3.0 (* x 2.0)))

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1762
1	236
0	77

prune119.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* x (* x (- 3.0 (* x 2.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 74

Calls

2 calls:

25.0ms	(* x (- 3.0 (* x 2.0)))
27.0ms	(* x (* x (- 3.0 (* x 2.0))))

series211.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* x (- 3.0 (* x 2.0)))
107.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1759
1	338
0	117

prune325.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (* 3.0 x)) (* x (* (- (* x 2.0)) x)))
0.1b	(* x (* (- (* x 2.0)) x))
0.2b	(* x (* 3.0 x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

25.0ms	(+ (* x (* 3.0 x)) (* x (* (- (* x 2.0)) x)))
34.0ms	(* x (* (- (* x 2.0)) x))
28.0ms	(* x (* 3.0 x))

series309.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ (* x (* 3.0 x)) (* x (* (- (* x 2.0)) x)))
63.0ms	(* x (* (- (* x 2.0)) x))
59.0ms	(* x (* 3.0 x))

simplify1.9s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1723
1	271
0	93

prune278.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* x (* (- (* x 2.0)) x))) (cbrt (* x (* (- (* x 2.0)) x))))
30.1b	(cbrt (* x (* (- (* x 2.0)) x)))
30.1b	(cbrt (* x (* (- (* x 2.0)) x)))
30.1b	(cbrt (* x (* (- (* x 2.0)) x)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

54.0ms	(* (cbrt (* x (* (- (* x 2.0)) x))) (cbrt (* x (* (- (* x 2.0)) x))))
22.0ms	(cbrt (* x (* (- (* x 2.0)) x)))
15.0ms	(cbrt (* x (* (- (* x 2.0)) x)))
12.0ms	(cbrt (* x (* (- (* x 2.0)) x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (* x (* (- (* x 2.0)) x))) (cbrt (* x (* (- (* x 2.0)) x))))
53.0ms	(cbrt (* x (* (- (* x 2.0)) x)))
47.0ms	(cbrt (* x (* (- (* x 2.0)) x)))
50.0ms	(cbrt (* x (* (- (* x 2.0)) x)))

simplify874.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	629
1	142
0	60

prune410.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample793.0ms

Algorithm

intervals

Results

539.0ms

11977×

body

valid