Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

404×

body

valid

simplify2.2s

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

prune4.0ms

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)))

rewrite32.0ms

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:

31.0ms

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

series128.0ms

Counts

1 → 3

Calls

1 calls:

128.0ms

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

simplify1.7s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1762
1	236
0	77

prune158.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

34.0ms	(- (* 3.0 (* x x)) (* (* x x) (* x 2.0)))
27.0ms	(* (* x x) (* x 2.0))
14.0ms	(* 3.0 (* x x))

series281.0ms

Counts

3 → 9

Calls

3 calls:

169.0ms	(- (* 3.0 (* x x)) (* (* x x) (* x 2.0)))
63.0ms	(* (* x x) (* x 2.0))
49.0ms	(* 3.0 (* x x))

simplify2.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	1925
1	286
0	94

prune255.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))))

rewrite49.0ms

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:

19.0ms	(* x (- 3.0 (* x 2.0)))
26.0ms	(* x (* x (- 3.0 (* x 2.0))))

series257.0ms

Counts

2 → 6

Calls

2 calls:

156.0ms	(* x (- 3.0 (* x 2.0)))
101.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1759
1	338
0	117

prune326.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))
0.1b	(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
0.2b	(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
0.3b	(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-cbrt-cube` `add-exp-log`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`associate-*r/`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff` `add-cube-cbrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1` `associate-r`
12×	`frac-times`
11×	`flip3-+` `flip-+`
9×	`flip3--` `associate-l` `flip--`
8×	`associate-/l/`
6×	`cbrt-undiv` `sub-neg` `times-frac` `div-exp` `associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative`
2×	`div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

4 → 154

Calls

4 calls:

25.0ms	(* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))
57.0ms	(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
79.0ms	(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
50.0ms	(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))
244.0ms	(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
108.0ms	(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
118.0ms	(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
1	748
0	223

prune974.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes63.0ms

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	15
1	15
0	10

end0.0ms

sample752.0ms

Algorithm

intervals

Results

555.0ms

11977×

body

valid