Details

sample36.0ms

Algorithm

intervals

Results

21.0ms

326×

body

valid

simplify361.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	41	9
3	67	9
4	87	9
5	101	9
6	138	9
7	168	9
8	185	9
done	185	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ 0.253 (* x 0.12))
18.0ms	(* x (+ 0.253 (* x 0.12)))

series109.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ 0.253 (* x 0.12))
72.0ms	(* x (+ 0.253 (* x 0.12)))

simplify2.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	60	377
1	166	363
2	535	325
3	1727	325
done	5000	325

prune119.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))
0.8b	(cbrt (+ 0.253 (* x 0.12)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

43.0ms	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
4.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))
3.0ms	(cbrt (+ 0.253 (* x 0.12)))

series753.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (cbrt (+ 0.253 (* x 0.12))) (cbrt (+ 0.253 (* x 0.12))))
186.0ms	(cbrt (+ 0.253 (* x 0.12)))
178.0ms	(cbrt (+ 0.253 (* x 0.12)))
215.0ms	(cbrt (+ 0.253 (* x 0.12)))

simplify2.6s

Counts

99 → 99

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	182	2092
1	424	1947
2	1225	1842
3	3785	1577
done	5000	1499

prune478.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(cbrt (- 0.253 (* x 0.12)))
7.0ms	(cbrt (+ 0.253 (* x 0.12)))
13.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
22.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series1.1s

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (- 0.253 (* x 0.12)))
129.0ms	(cbrt (+ 0.253 (* x 0.12)))
364.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
406.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	213	1648
1	516	1568
2	1609	1446
done	5001	1269

prune568.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
12×	`cbrt-prod`
8×	`flip3--` `flip--`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/` `difference-of-squares`
1×	`flip3-+` `flip-+`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt (+ 0.253 (* x 0.12)))
13.0ms	(cbrt (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))
7.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
7.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

series939.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ 0.253 (* x 0.12)))
177.0ms	(cbrt (* (cbrt (- 0.253 (* x 0.12))) (cbrt (- 0.253 (* x 0.12)))))
282.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))
344.0ms	(cbrt (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))))

simplify1.2s

Counts

70 → 70

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	254	1993
1	586	1898
2	1756	1758
done	5000	1588

prune663.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample722.0ms

Algorithm

intervals

Results

470.0ms

10611×

body

valid