Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

330×

body

valid

simplify976.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1249
9	305
8	122
7	88
6	71
5	65
4	55
3	34
2	20
1	13
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

18.0ms	(+ (* x y) (* (- x 1.0) z))
20.0ms	(* (- x 1.0) z)

series85.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x y) (* (- x 1.0) z))
48.0ms	(* (- x 1.0) z)

simplify963.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	752
1	193
0	73

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.4b	(* (- (* x x) (* 1.0 1.0)) z)
4.8b	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `times-frac` `associate-l` `associate-l/`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `flip3-+` `flip3--` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

27.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
27.0ms	(* (- (* x x) (* 1.0 1.0)) z)
32.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series271.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
80.0ms	(* (- (* x x) (* 1.0 1.0)) z)
82.0ms	(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify1.8s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	2279
1	386
0	126

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

4.8b	(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
6.2b	(cbrt (- (* x x) (* 1.0 1.0)))
6.2b	(cbrt (- (* x x) (* 1.0 1.0)))
6.2b	(cbrt (- (* x x) (* 1.0 1.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`prod-exp` `associate-*r/` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/r*` `times-frac` `insert-posit16` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-/r/` `distribute-lft-out`
1×	`clear-num` `frac-2neg` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 103

Calls

4 calls:

110.0ms	(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
9.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
15.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
9.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

series836.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (* (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- (* x x) (* 1.0 1.0))) z)) (+ x 1.0))
240.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
243.0ms	(cbrt (- (* x x) (* 1.0 1.0)))
271.0ms	(cbrt (- (* x x) (* 1.0 1.0)))

simplify1.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2555
1	528
0	182

prune784.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b	(sqrt (+ (* x y) (* (- x 1.0) z)))
0.2b	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`sqrt-div` `add-cube-cbrt`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`flip3-+` `add-cbrt-cube` `swap-sqr` `add-exp-log` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod`
1×	`pow2` `rem-square-sqrt` `pow-plus` `flip3--` `sqrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

17.0ms	(* (- x 1.0) z)
6.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
6.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
52.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- x 1.0) z)
154.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
127.0ms	(sqrt (+ (* x y) (* (- x 1.0) z)))
41.0ms	(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify1.5s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1591
1	354
0	148

prune573.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes150.0ms

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	11
1	11
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

762.0ms

10218×

body

valid