Details

sample24.0ms

Algorithm

intervals

Results

9.0ms

321×

body

valid

simplify661.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	47	9
5	55	9
6	66	9
7	87	9
8	120	9
9	149	9
10	169	9
11	180	9
12	198	9
13	207	9
done	207	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.0b	(+ (* (- 1.0 x) y) (* x z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

25.0ms	(* (- 1.0 x) y)
25.0ms	(+ (* (- 1.0 x) y) (* x z))

series74.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 x) y)
43.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify2.1s

Counts

39 → 39

Iterations

Useful iterations: 3 (920.0ms)

Iter	Nodes	Cost
0	71	405
1	184	375
2	680	347
3	3077	345
done	5002	345

prune107.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y 1.0) (* x (- z y)))
0.0b	(* x (- z y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ (* y 1.0) (* x (- z y)))
35.0ms	(* x (- z y))

series119.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(+ (* y 1.0) (* x (- z y)))
51.0ms	(* x (- z y))

simplify2.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (128.0ms)

Iter	Nodes	Cost
0	78	459
1	197	431
2	621	397
3	2760	397
done	5002	397

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
38×	`cbrt-prod`
35×	`flip3--` `flip--`
34×	`add-sqr-sqrt` `associate-*l/`
32×	`frac-times` `*-un-lft-identity`
23×	`pow1`
18×	`add-exp-log`
14×	`add-cube-cbrt`
10×	`associate-*r/` `swap-sqr` `pow-prod-down` `add-cbrt-cube`
9×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
8×	`pow1/3` `distribute-lft-out--`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 134

Calls

4 calls:

6.0ms	(cbrt (- 1.0 x))
7.0ms	(cbrt (- 1.0 x))
140.0ms	(* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (- 1.0 x)) y))
84.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (- 1.0 x))
105.0ms	(cbrt (- 1.0 x))
37.0ms	(* (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (- 1.0 x)) y))
117.0ms	(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify4.1s

Counts

146 → 146

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	214	2802
1	556	2613
2	1513	2294
3	4406	2061
done	5001	2039

prune534.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

8.0ms	(sqrt (- z y))
8.0ms	(+ (* y 1.0) (* (* x (sqrt (- z y))) (sqrt (- z y))))
27.0ms	(* x (sqrt (- z y)))
64.0ms	(* (* x (sqrt (- z y))) (sqrt (- z y)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sqrt (- z y))
44.0ms	(+ (* y 1.0) (* (* x (sqrt (- z y))) (sqrt (- z y))))
114.0ms	(* x (sqrt (- z y)))
59.0ms	(* (* x (sqrt (- z y))) (sqrt (- z y)))

simplify1.5s

Counts

97 → 97

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	162	1383
1	429	1041
2	1291	937
done	5000	919

prune242.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample987.0ms

Algorithm

intervals

Results

482.0ms

10100×

body

valid