Details

sample40.0ms

Algorithm

intervals

Results

22.0ms

292×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) x)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

17.0ms

(- (* x y) x)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(- (* x y) x)

simplify9.8s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
5	4490
4	1088
3	436
2	164
1	61
0	26

prune322.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (* x y) x))
0.5b	(cbrt (- (* x y) x))
0.5b	(cbrt (- (* x y) x))
0.5b	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

rewrite164.0ms

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:

12.0ms	(cbrt (- (* x y) x))
13.0ms	(cbrt (- (* x y) x))
12.0ms	(cbrt (- (* x y) x))
120.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- (* x y) x))
646.0ms	(cbrt (- (* x y) x))
180.0ms	(cbrt (- (* x y) x))
159.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))

simplify5.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5005
3	2922
2	918
1	373
0	147

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
0.6b	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
0.6b	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
0.6b	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

332.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
69.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
68.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
54.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))

series1.1s

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (- (* x y) x)) (cbrt (- (* x y) x)))
501.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
161.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))
244.0ms	(cbrt (* (cbrt (- (* x y) x)) (cbrt (- (* x y) x))))

simplify5.7s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	3092
2	1006
1	387
0	163

prune2.3s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* x y) x))
0.0b	(- (* x y) x)
0.0b	(- (* x y) x)
0.3b	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`flip3--` `sqrt-pow1` `pow1/2` `flip--`
8×	`swap-sqr` `add-log-exp`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`sub-neg` `diff-log` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 96

Calls

4 calls:

20.0ms	(sqrt (- (* x y) x))
16.0ms	(- (* x y) x)
18.0ms	(- (* x y) x)
156.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(sqrt (- (* x y) x))
254.0ms	(- (* x y) x)
61.0ms	(- (* x y) x)
139.0ms	(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify4.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
3	1699
2	584
1	226
0	105

prune849.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes480.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	5
1	5
0	4

end5.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

9115×

body

valid