Details

sample33.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify121.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	44
4	44
3	38
2	23
1	10
0	6

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

7.0ms	(- 1.0 (* x y))
30.0ms	(* x (- 1.0 (* x y)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- 1.0 (* x y))
83.0ms	(* x (- 1.0 (* x y)))

simplify4.0s

Counts

44 → 44

Iterations

Iter	Nodes
done	5010
3	1957
2	462
1	152
0	61

prune479.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

41.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
5.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(cbrt (- 1.0 (* x y)))

series2.0s

Counts

4 → 12

Calls

4 calls:

557.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
455.0ms	(cbrt (- 1.0 (* x y)))
541.0ms	(cbrt (- 1.0 (* x y)))
466.0ms	(cbrt (- 1.0 (* x y)))

simplify6.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	4583
2	1141
1	381
0	148

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

82.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
13.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(cbrt (- 1.0 (* x y)))
9.0ms	(cbrt (- 1.0 (* x y)))

series2.1s

Counts

4 → 12

Calls

4 calls:

575.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
462.0ms	(cbrt (- 1.0 (* x y)))
535.0ms	(cbrt (- 1.0 (* x y)))
529.0ms	(cbrt (- 1.0 (* x y)))

simplify6.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
3	4583
2	1141
1	381
0	148

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

20.0ms	(* (cbrt x) (cbrt x))
3.0ms	(cbrt x)
3.0ms	(cbrt x)
3.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt x) (cbrt x))
342.0ms	(cbrt x)
377.0ms	(cbrt x)
335.0ms	(cbrt x)

simplify8.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
4	3734
3	1049
2	353
1	137
0	63

prune932.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes722.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample897.0ms

Algorithm

intervals

Results

454.0ms

10687×

body

valid