Details

sample34.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4574
6	1116
5	522
4	251
3	115
2	52
1	23
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
17.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/` `log1p-expm1-u`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 47

Calls

2 calls:

12.0ms	(+ (* x x) (* y y))
23.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series176.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* x x) (* y y))
125.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify2.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	2722
1	351
0	95

prune288.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
0.0b	(/ (- x y) (hypot x y))
0.0b	(/ (+ y x) (hypot x y))
0.1b	(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `hypot-udef` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
24.0ms	(/ (- x y) (hypot x y))
18.0ms	(/ (+ y x) (hypot x y))
64.0ms	(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(hypot x y)
126.0ms	(/ (- x y) (hypot x y))
132.0ms	(/ (+ y x) (hypot x y))
150.0ms	(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

simplify2.0s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	2818
1	509
0	175

prune739.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ y x) (hypot x y))
0.0b	(cbrt (pow (/ (- x y) (hypot x y)) 3))
0.1b	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ (+ y x) (hypot x y)))
0.1b	(pow (/ (- x y) (hypot x y)) 3)

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-sqr-sqrt`
129×	`*-un-lft-identity`
125×	`times-frac`
100×	`cbrt-prod`
79×	`add-cube-cbrt`
61×	`unpow-prod-down` `cube-prod`
47×	`associate-l`
18×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-r`
14×	`add-exp-log` `unswap-sqr`
12×	`add-cbrt-cube`
8×	`div-inv`
7×	`pow1` `distribute-lft-out`
5×	`sqr-pow`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cube-mult` `cbrt-undiv` `pow-unpow` `cbrt-div` `associate-/r*` `unpow3` `div-exp`
2×	`pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `associate-/l/`
1×	`frac-times` `pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `rem-cbrt-cube` `flip-+`

Counts

4 → 246

Calls

4 calls:

14.0ms	(/ (+ y x) (hypot x y))
17.0ms	(cbrt (pow (/ (- x y) (hypot x y)) 3))
117.0ms	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ (+ y x) (hypot x y)))
11.0ms	(pow (/ (- x y) (hypot x y)) 3)

series606.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(/ (+ y x) (hypot x y))
158.0ms	(cbrt (pow (/ (- x y) (hypot x y)) 3))
143.0ms	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ (+ y x) (hypot x y)))
160.0ms	(pow (/ (- x y) (hypot x y)) 3)

simplify520.0ms

Counts

258 → 258

Iterations

Iter	Nodes
done	5000
1	831
0	251

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (/ (hypot x y) (+ y x)))
0.0b	(cbrt (pow (/ (- x y) (hypot x y)) 3))
0.1b	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ 1 (/ (hypot x y) (+ y x))))
0.1b	(pow (/ (- x y) (hypot x y)) 3)

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

334×	`times-frac`
295×	`add-sqr-sqrt`
248×	`*-un-lft-identity`
156×	`add-cube-cbrt`
118×	`cbrt-prod`
67×	`unpow-prod-down` `cube-prod`
59×	`associate-r`
47×	`associate-l`
37×	`add-exp-log`
35×	`unswap-sqr`
21×	`distribute-lft-out`
18×	`associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
15×	`div-exp` `div-inv`
8×	`pow1` `sqr-pow`
7×	`cbrt-undiv` `flip3-+` `prod-exp` `flip-+`
4×	`cube-div` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `cbrt-div` `unpow3` `cbrt-unprod` `associate-/l*`
2×	`pow-exp` `rem-cube-cbrt`
1×	`frac-times` `pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `rem-cbrt-cube` `pow-flip` `inv-pow`

Counts

4 → 380

Calls

4 calls:

29.0ms	(/ 1 (/ (hypot x y) (+ y x)))
18.0ms	(cbrt (pow (/ (- x y) (hypot x y)) 3))
159.0ms	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ 1 (/ (hypot x y) (+ y x))))
21.0ms	(pow (/ (- x y) (hypot x y)) 3)

series574.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(/ 1 (/ (hypot x y) (+ y x)))
105.0ms	(cbrt (pow (/ (- x y) (hypot x y)) 3))
150.0ms	(* (cbrt (pow (/ (- x y) (hypot x y)) 3)) (/ 1 (/ (hypot x y) (+ y x))))
148.0ms	(pow (/ (- x y) (hypot x y)) 3)

simplify819.0ms

Counts

392 → 392

Iterations

Iter	Nodes
done	5000
1	1369
0	413

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

941.0ms	8000×	body	80	valid
200.0ms	8000×	pre	80	true