Details

sample35.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify115.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	133
6	133
5	129
4	118
3	71
2	32
1	12
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (- 1.0 y) (* x y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 24

Calls

1 calls:

43.0ms

(* (- 1.0 y) (* x y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (- 1.0 y) (* x y))

simplify2.5s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4848
2	639
1	146
0	55

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

35.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
5.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))
7.0ms	(cbrt (- 1.0 y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
129.0ms	(cbrt (- 1.0 y))
128.0ms	(cbrt (- 1.0 y))
131.0ms	(cbrt (- 1.0 y))

simplify818.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1243
1	357
0	154

prune802.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.0 y) (* y y))
5.0b	(* x (- (* 1.0 y) (* y y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r*` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-diff`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `associate-*r/` `log1p-expm1-u` `flip--`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

7.0ms	(- (* 1.0 y) (* y y))
27.0ms	(* x (- (* 1.0 y) (* y y)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(- (* 1.0 y) (* y y))
72.0ms	(* x (- (* 1.0 y) (* y y)))

simplify923.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	1111
1	213
0	75

prune275.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 y))
0.0b	(sqrt (- 1.0 y))
0.1b	(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))
0.1b	(* (* y x) (sqrt (- 1.0 y)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `pow1` `sqrt-prod`
18×	`*-un-lft-identity` `add-cbrt-cube` `sqrt-div` `add-exp-log`
10×	`associate-*r/` `add-cube-cbrt`
9×	`flip3--` `associate-r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative`

Counts

4 → 101

Calls

4 calls:

16.0ms	(sqrt (- 1.0 y))
16.0ms	(sqrt (- 1.0 y))
99.0ms	(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))
51.0ms	(* (* y x) (sqrt (- 1.0 y)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (- 1.0 y))
53.0ms	(sqrt (- 1.0 y))
52.0ms	(* (sqrt (- 1.0 y)) (* (* y x) (sqrt (- 1.0 y))))
166.0ms	(* (* y x) (sqrt (- 1.0 y)))

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	2190
1	411
0	151

prune516.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample753.0ms

Algorithm

intervals

Results

360.0ms

10691×

body

valid