Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
37	4919
36	4774
35	4626
34	4478
33	4338
32	4190
31	4042
30	3900
29	3752
28	3604
27	3464
26	3316
25	3168
24	3026
23	2878
22	2730
21	2594
20	2446
19	2298
18	2159
17	2011
16	1867
15	1729
14	1590
13	1435
12	1305
11	1152
10	1012
9	772
8	510
7	276
6	148
5	111
4	97
3	78
2	42
1	19
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

5.0ms	(+ 0.253 (* x 0.12))
26.0ms	(* x (+ 0.253 (* x 0.12)))

series140.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ 0.253 (* x 0.12))
95.0ms	(* x (+ 0.253 (* x 0.12)))

simplify2.9s

Counts

39 → 39

Iterations

Iter	Nodes
done	5017
3	3101
2	658
1	181
0	60

prune159.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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))))

rewrite37.0ms

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:

18.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

series804.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (* x (+ 0.253 (* x 0.12)))) (cbrt (* x (+ 0.253 (* x 0.12)))))
191.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
181.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
192.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))

simplify3.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
3	4960
2	1468
1	510
0	190

prune641.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

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)))

rewrite17.0ms

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)
5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
8.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series774.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt x)
152.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
167.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
158.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify1.9s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1248
1	417
0	168

prune816.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize92.0ms

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))))

rewrite24.0ms

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:

5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
5.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (- 0.253 (* x 0.12)))
9.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series899.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
188.0ms	(cbrt (* x (+ 0.253 (* x 0.12))))
224.0ms	(cbrt (- 0.253 (* x 0.12)))
329.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify2.5s

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
2	1886
1	584
0	233

prune567.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes185.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample750.0ms

Algorithm

intervals

Results

533.0ms

10682×

body

valid