Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

316×

body

valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4866
13	4603
12	4336
11	3808
10	2054
9	931
8	652
7	507
6	419
5	291
4	137
3	56
2	26
1	11
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `flip3-+` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l/` `associate-r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

30.0ms

(* (+ x y) (- 1.0 z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (+ x y) (- 1.0 z))

simplify2.7s

Counts

37 → 37

Iterations

Iter	Nodes
done	5010
3	4870
2	893
1	249
0	85

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
0.0b	(* (+ x y) (- z))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r` `associate-*l/`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`flip3-+` `add-cube-cbrt` `flip-+`
4×	`pow1` `add-cbrt-cube` `associate-l` `frac-add` `add-exp-log` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`insert-posit16` `distribute-lft-out`
1×	`+-commutative` `neg-mul-1` `sum-log` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

17.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
33.0ms	(* (+ x y) (- z))

series113.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(+ (* (+ x y) 1.0) (* (+ x y) (- z)))
41.0ms	(* (+ x y) (- z))

simplify1.3s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	1240
1	345
0	112

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) (+ 1.0 z))
2.4b	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
10.1b	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times`
40×	`flip3-+` `flip-+`
30×	`associate-*l/`
26×	`associate-/l/`
21×	`flip3--` `flip--`
19×	`add-cbrt-cube` `add-exp-log`
18×	`-un-lft-identity` `associate-r/`
12×	`add-sqr-sqrt`
10×	`pow1`
8×	`associate-r` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`associate-/r*` `times-frac` `pow-prod-down` `distribute-lft-out`
3×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 134

Calls

3 calls:

22.0ms	(* (- 1.0 z) (+ 1.0 z))
83.0ms	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
79.0ms	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

series221.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (- 1.0 z) (+ 1.0 z))
83.0ms	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
46.0ms	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

simplify2.6s

Counts

143 → 143

Iterations

Iter	Nodes
done	5006
2	4627
1	847
0	215

prune752.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))
0.1b	(* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z)))
0.1b	(* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z)))
37.1b	(cbrt (* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z))))

rewrite843.0ms

Algorithm

rewrite-expression-head

Rules

4516×	`frac-times`
1515×	`flip3-+` `flip3--` `flip-+` `flip--`
1322×	`associate-*l/`
1178×	`associate-*r/`
728×	`cbrt-div`
200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`pow-sqr`
10×	`add-sqr-sqrt` `sub-neg` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-l` `add-cube-cbrt`
4×	`pow2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 1707

Calls

4 calls:

27.0ms	(* (+ x y) (- 1.0 z))
316.0ms	(* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z)))
106.0ms	(* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z)))
222.0ms	(cbrt (* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z))))

series311.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (+ x y) (- 1.0 z))
118.0ms	(* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z)))
82.0ms	(* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z)))
69.0ms	(cbrt (* (* (* (+ x y) (- 1.0 z)) (* (+ x y) (- 1.0 z))) (* (+ x y) (- 1.0 z))))

simplify3.7s

Counts

1719 → 1719

Iterations

Iter	Nodes
done	5000
0	2827

prune13.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
3	24
2	19
1	15
0	9

end0.0ms

sample686.0ms

Algorithm

intervals

Results

383.0ms

10145×

body

valid