Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	309×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	1280	valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	42	9
4	47	9
done	47	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series66.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* x (+ y z))
38.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify453.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	72	422
1	226	394
2	1000	358
done	5001	358

prune170.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* y x) (* z (+ x 5.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* z (+ x 5.0))
11.0ms	(+ (* y x) (* z (+ x 5.0)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* z (+ x 5.0))
35.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify556.0ms

Counts

42 → 42

Iterations

Useful iterations: 2 (121.0ms)

Iter	Nodes	Cost
0	72	422
1	225	386
2	1029	356
done	5002	356

prune189.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

23.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.4s

Counts

4 → 12

Calls

4 calls:

662.0ms	(* (cbrt z) (cbrt z))
260.0ms	(cbrt z)
246.0ms	(cbrt z)
212.0ms	(cbrt z)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune345.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.6b	(* z (- (* x x) (* 5.0 5.0)))
6.8b	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

34.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
37.0ms	(* z (- (* x x) (* 5.0 5.0)))
42.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series344.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ (* y x) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
76.0ms	(* z (- (* x x) (* 5.0 5.0)))
149.0ms	(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	142	1242
1	423	1169
2	2086	1023
done	5001	1017

prune282.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (0.0b 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	8	9
1	12	9
done	12	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

532.0ms	9692×	body	80	valid
22.0ms	125×	body	1280	valid
16.0ms	118×	body	640	valid
7.0ms	62×	body	320	valid
2.0ms	26×	body	160	valid