Details

sample35.0ms

Algorithm

intervals

Results

19.0ms

342×

body

valid

simplify916.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

8.0ms	(+ 0.253 (* x 0.12))
24.0ms	(* x (+ 0.253 (* x 0.12)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ 0.253 (* x 0.12))
91.0ms	(* x (+ 0.253 (* x 0.12)))

simplify853.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	837
1	187
0	60

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

series815.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
198.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
183.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
184.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	2253
1	513
0	190

prune591.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-*r/` `add-exp-log` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x)
15.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(cbrt (+ 0.253 (* x 0.12)))

series791.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt x)
183.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
188.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
156.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1597
1	417
0	168

prune570.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.6b	(cbrt (* x (+ 0.253 (* x 0.12))))
0.8b	(cbrt (- 0.253 (* x 0.12)))
1.2b	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
8×	`cbrt-div`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-*r/` `add-exp-log` `add-log-exp`
2×	`flip3-+` `flip3--` `flip-+` `flip--`
1×	`difference-of-squares`

Counts

4 → 49

Calls

4 calls:

9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
9.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(cbrt (- 0.253 (* x 0.12)))
12.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series878.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
173.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
160.0ms	(cbrt (- 0.253 (* x 0.12)))
353.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify2.2s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
2	2494
1	592
0	233

prune649.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes238.0ms

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

508.0ms

10682×

body

valid