Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

330×

body

valid

simplify4.0s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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:

45.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify3.0s

Counts

37 → 37

Iterations

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

prune167.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) (+ 1.0 z))
1.0b	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
9.2b	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

rewrite144.0ms

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:

36.0ms	(* (- 1.0 z) (+ 1.0 z))
45.0ms	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
60.0ms	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

series226.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(* (- 1.0 z) (+ 1.0 z))
79.0ms	(* (* (- 1.0 z) (+ 1.0 z)) (+ y x))
39.0ms	(/ (* (* (- 1.0 z) (+ 1.0 z)) (+ y x)) (+ 1.0 z))

simplify2.7s

Counts

143 → 143

Iterations

Iter	Nodes
done	5006
2	4627
1	847
0	215

prune735.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ x y) (sqrt (- 1.0 z)))
0.1b	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

42×	`sqrt-div`
32×	`frac-times`
21×	`flip3--` `flip--`
16×	`associate-r` `associate-*l/`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`flip3-+` `flip-+`
11×	`sqrt-prod`
10×	`associate-*r/`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`distribute-lft-out`

Counts

2 → 84

Calls

2 calls:

50.0ms	(* (+ x y) (sqrt (- 1.0 z)))
83.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (+ x y) (sqrt (- 1.0 z)))
57.0ms	(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1481
1	445
0	166

prune417.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 (* 1.0 1.0)) (* z (* z z)))
0.1b	(* z (* z z))
1.4b	(* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y))
14.0b	(/ (* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y)) (+ (* z z) (* 1.0 (+ z 1.0))))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`frac-times` `associate-/l/`
7×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
6×	`add-log-exp`
5×	`cube-unmult` `associate-r` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`pow-prod-down` `associate-l/` `associate-r/` `insert-posit16`
3×	`associate-/r*` `times-frac`
2×	`difference-cubes` `cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `pow-sqr` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

24.0ms	(- (* 1.0 (* 1.0 1.0)) (* z (* z z)))
16.0ms	(* z (* z z))
151.0ms	(* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y))
81.0ms	(/ (* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y)) (+ (* z z) (* 1.0 (+ z 1.0))))

series348.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(- (* 1.0 (* 1.0 1.0)) (* z (* z z)))
52.0ms	(* z (* z z))
72.0ms	(* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y))
121.0ms	(/ (* (- (* 1.0 (* 1.0 1.0)) (* z (* z z))) (+ x y)) (+ (* z z) (* 1.0 (+ z 1.0))))

simplify2.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5046
2	2533
1	554
0	182

prune574.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample934.0ms

Algorithm

intervals

Results

363.0ms	10099×	body	80	valid
0.0ms	2×	body	1280	valid