Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	15
1	23	14
2	51	14
3	97	14
4	206	14
5	402	14
6	733	14
7	1393	14
done	5001	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize8.0ms

Local error

Found 1 expressions with local error:

20.3b

(/ (* (- x y) (+ x y)) (fma x x (* y y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

9.0ms

(/ (* (- x y) (+ x y)) (fma x x (* y y)))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (* (- x y) (+ x y)) (fma x x (* y y)))

simplify575.0ms

Counts

34 → 34

Iterations

Useful iterations: done (574.0ms)

Iter	Nodes	Cost
0	72	609
1	222	584
2	977	488
done	5000	487

prune79.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
7.0ms	(/ (+ x y) (hypot x y))
8.0ms	(/ (- x y) (hypot x y))
27.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series319.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(hypot x y)
89.0ms	(/ (+ x y) (hypot x y))
90.0ms	(/ (- x y) (hypot x y))
91.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify680.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	172	2247
1	490	2185
2	1608	1971
done	5000	1971

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
33×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
10×	`cbrt-undiv` `div-exp`
9×	`pow1` `associate-/l*`
8×	`prod-exp` `cbrt-unprod`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r*`
5×	`pow-exp` `rem-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`cube-div` `pow-unpow`
2×	`frac-times` `pow-pow` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `flip3--` `flip3-+` `unpow3` `div-sub` `cube-prod` `*-commutative` `flip--` `flip-+` `sqr-pow`

Counts

4 → 169

Calls

4 calls:

8.0ms	(/ (+ x y) (hypot x y))
9.0ms	(pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3)
8.0ms	(/ (- x y) (hypot x y))
30.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (+ x y) (hypot x y))
101.0ms	(pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3)
89.0ms	(/ (- x y) (hypot x y))
90.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify741.0ms

Counts

181 → 181

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	200	2774
1	570	2517
2	2077	2399
done	5001	2363

prune476.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (log1p (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) 3)
0.0b	(/ (- x y) (hypot x y))
0.0b	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
0.3b	(expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
46×	`times-frac`
34×	`add-cube-cbrt`
19×	`add-exp-log` `associate-l` `add-cbrt-cube`
16×	`associate-r`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp` `log1p-expm1-u` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow` `cube-prod` `associate-/r*` `div-inv` `distribute-lft-out`
2×	`associate-/l/`
1×	`cube-mult` `frac-times` `pow-to-exp` `expm1-log1p` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `*-commutative` `flip--` `expm1-udef` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

1.0ms	(pow (log1p (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) 3)
8.0ms	(/ (- x y) (hypot x y))
30.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
0.0ms	(expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))

series461.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(pow (log1p (expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))) 3)
91.0ms	(/ (- x y) (hypot x y))
91.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
127.0ms	(expm1 (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))))

simplify804.0ms

Counts

149 → 149

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	191	2679
1	540	2476
2	1926	2206
done	5001	2206

prune429.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	15	20
done	15	20

end0.0ms

sample463.0ms

Algorithm

intervals

Results

223.0ms	8000×	body	80	valid
105.0ms	8000×	pre	80	true