Details

sample54.0ms

Algorithm

intervals

Results

28.0ms

432×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1686
6	586
5	291
4	185
3	108
2	57
1	23
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- x z) (/ y (+ z x))) y)
0.0b	(/ y (+ z x))
0.2b	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)
0.2b	(/ (- x z) (/ y (+ z x)))

rewrite403.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
306×	`*-un-lft-identity`
222×	`add-sqr-sqrt`
148×	`add-cube-cbrt`
95×	`fma-def`
42×	`distribute-lft-out`
37×	`distribute-lft-out--` `difference-of-squares`
26×	`associate-/r/`
25×	`associate-/r*`
15×	`div-inv`
14×	`flip3-+` `flip-+`
13×	`add-cbrt-cube` `add-exp-log`
12×	`associate-/l*`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u` `associate-/l/`
3×	`clear-num` `frac-2neg`
2×	`associate-+l-`
1×	`+-commutative` `sum-log` `flip3--` `flip--`

Counts

4 → 314

Calls

4 calls:

102.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
9.0ms	(/ y (+ z x))
250.0ms	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)
24.0ms	(/ (- x z) (/ y (+ z x)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (/ (- x z) (/ y (+ z x))) y)
33.0ms	(/ y (+ z x))
99.0ms	(/ (+ (/ (- x z) (/ y (+ z x))) y) 2.0)
61.0ms	(/ (- x z) (/ y (+ z x)))

simplify2.5s

Counts

326 → 326

Iterations

Iter	Nodes
done	5007
2	3172
1	917
0	313

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ z x))
0.2b	(/ (+ (/ (- x z) (* y (/ 1 (+ z x)))) y) 2.0)
0.2b	(/ (- x z) (* y (/ 1 (+ z x))))
0.3b	(* y (/ 1 (+ z x)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
43×	`times-frac`
34×	`add-exp-log`
33×	`add-cube-cbrt`
22×	`add-cbrt-cube`
18×	`associate-r`
12×	`div-exp` `associate-/l*`
11×	`distribute-lft-out`
8×	`associate-/r*` `prod-exp`
7×	`pow1` `cbrt-undiv`
6×	`associate-/r/`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
3×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `div-sub` `associate-l` `flip-+` `unswap-sqr`
2×	`associate-*r/` `un-div-inv` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `pow-prod-down` `*-commutative` `associate-+l-` `pow-flip` `flip--` `inv-pow`

Counts

4 → 154

Calls

4 calls:

10.0ms	(/ 1 (+ z x))
115.0ms	(/ (+ (/ (- x z) (* y (/ 1 (+ z x)))) y) 2.0)
27.0ms	(/ (- x z) (* y (/ 1 (+ z x))))
25.0ms	(* y (/ 1 (+ z x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1 (+ z x))
93.0ms	(/ (+ (/ (- x z) (* y (/ 1 (+ z x)))) y) 2.0)
71.0ms	(/ (- x z) (* y (/ 1 (+ z x))))
33.0ms	(* y (/ 1 (+ z x)))

simplify1.9s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
2	2041
1	566
0	225

prune670.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x z) y)
0.1b	(fma (/ (- x z) y) (+ z x) y)
0.2b	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt` `*-un-lft-identity`
24×	`times-frac`
21×	`add-cube-cbrt`
8×	`associate-/l*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`
1×	`flip3--` `div-sub` `fma-udef` `flip--`

Counts

3 → 79

Calls

3 calls:

26.0ms	(/ (- x z) y)
0.0ms	(fma (/ (- x z) y) (+ z x) y)
7.0ms	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

series231.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- x z) y)
77.0ms	(fma (/ (- x z) y) (+ z x) y)
97.0ms	(/ (fma (/ (- x z) y) (+ z x) y) 2.0)

simplify1.7s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
3	2545
2	722
1	296
0	142

prune470.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (+ z x))
0.6b	(cbrt (+ z x))
0.6b	(cbrt (+ z x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(cbrt (+ z x))
6.0ms	(cbrt (+ z x))
6.0ms	(cbrt (+ z x))

series925.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt y)
191.0ms	(cbrt (+ z x))
223.0ms	(cbrt (+ z x))
202.0ms	(cbrt (+ z x))

simplify1.9s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
4	2855
3	1066
2	426
1	166
0	79

prune600.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes445.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

13711×

body

valid