Details

sample48.0ms

Algorithm

intervals

Results

22.0ms

343×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	105
5	105
4	99
3	71
2	34
1	15
0	8

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 1 expressions with local error:

6.3b	(* (- x z) (* t y))

rewrite29.0ms

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×	`flip3--` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 22

Calls

1 calls:

28.0ms

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

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify1.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	2563
2	509
1	148
0	56

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.6b	(* (* (- x z) t) y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

21.0ms	(* (- x z) t)
47.0ms	(* (* (- x z) t) y)

series110.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(* (- x z) t)
61.0ms	(* (* (- x z) t) y)

simplify769.0ms

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
2	1067
1	195
0	79

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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))
3.9b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite237.0ms

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×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 109

Calls

4 calls:

6.0ms	(cbrt (- x z))
6.0ms	(cbrt (- x z))
52.0ms	(* (cbrt (- x z)) (* t y))
167.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series852.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (- x z))
190.0ms	(cbrt (- x z))
402.0ms	(* (cbrt (- x z)) (* t y))
67.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify993.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1670
1	520
0	185

prune531.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
2.7b	(* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y))
3.9b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y)))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

1408×	`cbrt-div`
596×	`frac-times`
462×	`associate-*l/`
434×	`flip3--` `flip--`
160×	`associate-*r/`
90×	`pow1` `add-exp-log`
66×	`pow-prod-down` `prod-exp` `cbrt-unprod`
52×	`add-cbrt-cube`
10×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 378

Calls

4 calls:

6.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
335.0ms	(* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y))
977.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt (- x z))
239.0ms	(cbrt (- x z))
442.0ms	(* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y))
65.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))) (* t y)))

simplify807.0ms

Counts

390 → 390

Iterations

Iter	Nodes
done	5001
1	2280
0	585

prune1.8s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes533.0ms

Accuracy

94.1% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.3b

bsearch1.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	32
1	32
0	25

end0.0ms

sample1.3s

Algorithm

intervals

Results

587.0ms

10696×

body

valid