Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

341×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	23	7
3	44	7
4	58	7
done	58	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

18.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.4s

Counts

35 → 35

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	71	411
1	151	408
2	382	356
3	1330	347
done	5000	311

prune65.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- 1.0 (* x y)))
0.1b	(cbrt (- 1.0 (* x y)))
0.1b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
31.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series938.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (- 1.0 (* x y)))
235.0ms	(cbrt (- 1.0 (* x y)))
232.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.7s

Counts

107 → 107

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	152	2108
1	370	1928
2	1193	1787
3	4423	1482
done	5000	1478

prune311.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0)))
1.3b	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
4.2b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
4.2b	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`add-exp-log` `cbrt-prod` `associate-*l/`
16×	`cbrt-div`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`flip3--` `pow1/3` `add-cbrt-cube` `flip--` `associate-/l/`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `times-frac` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

11.0ms	(* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0)))
33.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
7.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
7.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0)))
233.0ms	(/ (* (cbrt (* (- 1.0 (* x y)) (fma y x 1.0))) (cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))) (* (cbrt (fma y x 1.0)) (cbrt (fma y x 1.0))))
128.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))
129.0ms	(cbrt (* (- 1.0 (* x y)) (fma y x 1.0)))

simplify771.0ms

Counts

111 → 111

Iterations

Useful iterations: done (767.0ms)

Iter	Nodes	Cost
0	178	2707
1	463	2442
2	1731	2014
done	5000	1909

prune429.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 1.0 (* y x)) (fma x y 1.0))
1.0b	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
5.4b	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `add-sqr-sqrt` `associate-*l/`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `times-frac` `div-exp` `associate-/r*` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/` `*-commutative` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

17.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
30.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
38.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

series294.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (- 1.0 (* y x)) (fma x y 1.0))
115.0ms	(* (* (- 1.0 (* y x)) (fma x y 1.0)) x)
118.0ms	(/ (* (* (- 1.0 (* y x)) (fma x y 1.0)) x) (+ 1.0 (* x y)))

simplify806.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	138	1503
1	378	1426
2	1862	1186
done	5001	1186

prune187.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample397.0ms

Algorithm

intervals

Results

181.0ms

10637×

body

valid