Details

sample34.0ms

Algorithm

intervals

Results

15.0ms

334×

body

valid

simplify835.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	809
6	193
5	141
4	112
3	79
2	42
1	19
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 x) 0.253)
0.1b	(* x (+ (* 0.12 x) 0.253))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (* 0.12 x) 0.253)
20.0ms	(* x (+ (* 0.12 x) 0.253))

series117.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* 0.12 x) 0.253)
74.0ms	(* x (+ (* 0.12 x) 0.253))

simplify474.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	810
1	184
0	58

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (+ 0.253 (* x 0.12))) (* (cbrt (+ 0.253 (* x 0.12))) x)) (cbrt (+ (* 0.12 x) 0.253)))
0.8b	(cbrt (+ (* 0.12 x) 0.253))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*r/`
7×	`add-cbrt-cube`
6×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

146.0ms	(* (* (cbrt (+ 0.253 (* x 0.12))) (* (cbrt (+ 0.253 (* x 0.12))) x)) (cbrt (+ (* 0.12 x) 0.253)))
8.0ms	(cbrt (+ (* 0.12 x) 0.253))
2.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series592.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (* (cbrt (+ 0.253 (* x 0.12))) (* (cbrt (+ 0.253 (* x 0.12))) x)) (cbrt (+ (* 0.12 x) 0.253)))
163.0ms	(cbrt (+ (* 0.12 x) 0.253))
167.0ms	(cbrt (+ 0.253 (* x 0.12)))
175.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify1.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2798
1	579
0	211

prune891.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (* 0.12 x) 0.253))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (- 0.253 (* 0.12 x)))
1.2b	(cbrt (* (+ 0.253 (* x 0.12)) (- 0.253 (* x 0.12))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-div`
10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`flip3-+` `flip-+`
4×	`frac-times` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`
2×	`associate-l/` `associate-r/`

Counts

4 → 56

Calls

4 calls:

8.0ms	(cbrt (+ (* 0.12 x) 0.253))
5.0ms	(cbrt (+ 0.253 (* x 0.12)))
5.0ms	(cbrt (- 0.253 (* 0.12 x)))
24.0ms	(cbrt (* (+ 0.253 (* x 0.12)) (- 0.253 (* x 0.12))))

series823.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (+ (* 0.12 x) 0.253))
159.0ms	(cbrt (+ 0.253 (* x 0.12)))
171.0ms	(cbrt (- 0.253 (* 0.12 x)))
339.0ms	(cbrt (* (+ 0.253 (* x 0.12)) (- 0.253 (* x 0.12))))

simplify1.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	2272
1	610
0	257

prune717.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.12 (* x x)) (* x 0.253))
0.4b	(* 0.12 (* x x))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

25.0ms	(+ (* 0.12 (* x x)) (* x 0.253))
26.0ms	(* 0.12 (* x x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(+ (* 0.12 (* x x)) (* x 0.253))
33.0ms	(* 0.12 (* x x))

simplify698.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	1162
1	187
0	58

prune112.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample701.0ms

Algorithm

intervals

Results

457.0ms

10612×

body

valid