Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune2.0ms

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) (* z t))

rewrite10.0ms

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:

9.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.5s

Counts

15 → 15

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	32	168
1	92	163
2	273	149
3	789	149
4	1794	149
done	5000	149

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.8b	(cbrt (- (* x y) (* z t)))
1.8b	(cbrt (- (* x y) (* z t)))
1.8b	(cbrt (- (* x y) (* z t)))

rewrite82.0ms

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:

55.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
6.0ms	(cbrt (- (* x y) (* z t)))
11.0ms	(cbrt (- (* x y) (* z t)))
7.0ms	(cbrt (- (* x y) (* z t)))

series829.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
186.0ms	(cbrt (- (* x y) (* z t)))
208.0ms	(cbrt (- (* x y) (* z t)))
208.0ms	(cbrt (- (* x y) (* z t)))

simplify2.1s

Counts

99 → 99

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	130	2048
1	312	1899
2	868	1775
3	2320	1614
done	5000	1530

prune461.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* z t))
0.2b	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
1.3b	(sqrt (- (* x y) (* z t)))
1.3b	(sqrt (- (* x y) (* z t)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

16.0ms	(- (* x y) (* z t))
85.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
18.0ms	(sqrt (- (* x y) (* z t)))
16.0ms	(sqrt (- (* x y) (* z t)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* x y) (* z t))
87.0ms	(* (sqrt (- (* x y) (* z t))) (sqrt (- (* x y) (* z t))))
130.0ms	(sqrt (- (* x y) (* z t)))
143.0ms	(sqrt (- (* x y) (* z t)))

simplify2.4s

Counts

111 → 111

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	112	2098
1	241	1505
2	707	1393
3	2210	1328
done	5000	1298

prune448.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* t z))
0.3b	(pow (- (* x y) (* t z)) 3)
34.7b	(cbrt (pow (- (* x y) (* t z)) 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

16.0ms	(- (* x y) (* t z))
16.0ms	(pow (- (* x y) (* t z)) 3)
11.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

series381.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (* x y) (* t z))
243.0ms	(pow (- (* x y) (* t z)) 3)
72.0ms	(cbrt (pow (- (* x y) (* t z)) 3))

simplify913.0ms

Counts

69 → 69

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	94	1098
1	253	909
2	834	829
done	5001	825

prune244.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

445.0ms

10445×

body

valid