Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

340×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize6.0ms

Local error

Found 1 expressions with local error:

5.0b	(* x (+ 1.0 (* y y)))

rewrite13.0ms

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:

13.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify452.0ms

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
2	772
1	161
0	50

prune131.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* y (* y x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

13.0ms

(* y (* y x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* y (* y x))

simplify4.1s

Counts

21 → 21

Iterations

Iter	Nodes
done	5000
3	4874
2	448
1	85
0	33

prune71.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (* (cbrt y) y) x)

rewrite29.0ms

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)
26.0ms	(* (* (cbrt y) y) x)

series978.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt y)
295.0ms	(cbrt y)
283.0ms	(cbrt y)
161.0ms	(* (* (cbrt y) y) x)

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	836
1	154
0	63

prune392.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

3.1b	(* x (- (* 1.0 1.0) (pow y 4)))
10.7b	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

rewrite110.0ms

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)))
36.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

series417.0ms

Counts

2 → 6

Calls

2 calls:

179.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
238.0ms	(/ (* 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

prune291.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes264.0ms

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	11
1	11
0	7

end0.0ms

sample799.0ms

Algorithm

intervals

Results

404.0ms

10628×

body

valid