Details

sample34.0ms

Algorithm

intervals

Results

14.0ms

324×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	20
1	14
0	6

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize14.0ms

Local error

Found 1 expressions with local error:

3.9b	(* x (+ 1.0 (* y y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

31.0ms

(* x (+ 1.0 (* y y)))

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

(* x (+ 1.0 (* y y)))

simplify574.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	772
1	161
0	50

prune125.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* y (* y x)))
0.2b	(* y (* y x))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

9.0ms	(+ (* x 1.0) (* y (* y x)))
30.0ms	(* y (* y x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (* x 1.0) (* y (* y x)))
20.0ms	(* y (* y x))

simplify814.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	886
1	166
0	57

prune175.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(* (* (cbrt y) y) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `pow1` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
33.0ms	(* (* (cbrt y) y) x)

series995.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt y)
264.0ms	(cbrt y)
282.0ms	(cbrt y)
188.0ms	(* (* (cbrt y) y) x)

simplify814.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	836
1	154
0	63

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

2.9b	(* x (- (* 1.0 1.0) (pow y 4)))
8.4b	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`difference-of-squares`
4×	`pow1` `associate-/r` `times-frac` `associate-r/`
3×	`flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp` `associate-/l/`
1×	`clear-num` `unpow-prod-down` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

2 → 54

Calls

2 calls:

71.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
46.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

series418.0ms

Counts

2 → 6

Calls

2 calls:

203.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
215.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1936
1	360
0	122

prune298.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample744.0ms

Algorithm

intervals

Results

386.0ms

10658×

body

valid