Details

sample28.0ms

Algorithm

intervals

Results

9.0ms

323×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	131
6	131
5	129
4	117
3	78
2	36
1	16
0	8

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

6.1b	(* (- x z) (* t y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

32.0ms

(* (- x z) (* t y))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (- x z) (* t y))

simplify1.4s

Counts

27 → 27

Iterations

Iter	Nodes
done	5024
3	1779
2	480
1	152
0	58

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
2.7b	(* (cbrt (- x z)) (* t y))
3.6b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`pow1` `flip3--` `add-exp-log` `flip--`
28×	`frac-times`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-l`
8×	`associate-*r/` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 117

Calls

4 calls:

3.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
38.0ms	(* (cbrt (- x z)) (* t y))
102.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (- x z))
153.0ms	(cbrt (- x z))
358.0ms	(* (cbrt (- x z)) (* t y))
54.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify2.9s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
3	4546
2	1480
1	522
0	191

prune809.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
1.8b	(* (* (cbrt (- x z)) t) y)
3.6b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (cbrt (- x z)) t) y))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
54×	`associate-*l/`
30×	`pow1` `flip3--` `add-exp-log` `flip--`
28×	`frac-times`
21×	`add-cbrt-cube`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

6.0ms	(cbrt (- x z))
6.0ms	(cbrt (- x z))
35.0ms	(* (* (cbrt (- x z)) t) y)
187.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (cbrt (- x z)) t) y))

series880.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (- x z))
198.0ms	(cbrt (- x z))
404.0ms	(* (* (cbrt (- x z)) t) y)
59.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (cbrt (- x z)) t) y))

simplify2.0s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1739
1	543
0	196

prune638.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
1.0b	(* (cbrt (- x z)) (* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y)))
1.8b	(* (* (cbrt (- x z)) t) y)
2.8b	(* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y))

rewrite543.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
62×	`associate-*l/`
35×	`flip3--` `flip--`
32×	`frac-times` `pow1` `add-exp-log`
19×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`associate-l`
16×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
15×	`cbrt-prod`
10×	`add-cube-cbrt`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 132

Calls

4 calls:

4.0ms	(cbrt (- x z))
388.0ms	(* (cbrt (- x z)) (* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y)))
41.0ms	(* (* (cbrt (- x z)) t) y)
103.0ms	(* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y))

series928.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (- x z))
57.0ms	(* (cbrt (- x z)) (* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y)))
343.0ms	(* (* (cbrt (- x z)) t) y)
306.0ms	(* (cbrt (- x z)) (* (* (cbrt (- x z)) t) y))

simplify1.7s

Counts

144 → 144

Iterations

Iter	Nodes
done	5005
2	1749
1	552
0	212

prune705.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes857.0ms

Accuracy

94.3% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

527.0ms

10689×

body

valid