Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

392×

body

valid

simplify2.5s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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:

33.0ms

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

series115.0ms

Counts

1 → 3

Calls

1 calls:

115.0ms

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

simplify1.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1762
1	236
0	77

prune180.0ms

Pruning

8 alts after pruning (8 fresh and 0 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))))

rewrite67.0ms

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:

23.0ms	(* x (- 3.0 (* x 2.0)))
42.0ms	(* x (* x (- 3.0 (* x 2.0))))

series240.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(* x (- 3.0 (* x 2.0)))
116.0ms	(* x (* x (- 3.0 (* x 2.0))))

simplify1.5s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
2	1759
1	338
0	117

prune347.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
21×	`associate-*r/`
20×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
12×	`prod-diff`
10×	`pow1` `associate-r`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
6×	`cbrt-undiv` `times-frac` `flip3--` `div-exp` `associate-l` `flip--`
4×	`sub-neg` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-/l*` `unswap-sqr`

Counts

3 → 116

Calls

3 calls:

62.0ms	(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
74.0ms	(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
71.0ms	(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

series506.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))))
143.0ms	(* x (/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0))))
124.0ms	(/ (* x (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0)))) (+ 3.0 (* x 2.0)))

simplify1.0s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
1	685
0	206

prune606.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

23.0ms	(* 2.0 (* x x))
12.0ms	(- (* 3.0 x) (* 2.0 (* x x)))
21.0ms	(* x (- (* 3.0 x) (* 2.0 (* x x))))

series250.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 2.0 (* x x))
94.0ms	(- (* 3.0 x) (* 2.0 (* x x)))
123.0ms	(* x (- (* 3.0 x) (* 2.0 (* x x))))

simplify1.9s

Counts

74 → 74

Iterations

Iter	Nodes
done	5000
2	2352
1	317
0	102

prune337.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes66.0ms

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	11
1	11
0	8

end0.0ms

sample687.0ms

Algorithm

intervals

Results

491.0ms

11926×

body

valid