Details

sample53.0ms

Algorithm

intervals

Results

21.0ms

373×

body

valid

simplify99.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	96	13
4	123	13
5	127	13
done	127	13

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.4b	(* (* a z) b)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

24.0ms	(+ (+ x (* y z)) (* t a))
106.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(* (* a z) b)

series217.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (+ x (* y z)) (* t a))
108.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
41.0ms	(* (* a z) b)

simplify1.4s

Counts

54 → 54

Iterations

Useful iterations: 2 (262.0ms)

Iter	Nodes	Cost
0	99	734
1	290	682
2	2016	602
done	5000	602

prune275.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (+ (* z b) t)))
0.0b	(+ (* z b) t)
3.7b	(* a (+ (* z b) t))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

55.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
15.0ms	(+ (* z b) t)
26.0ms	(* a (+ (* z b) t))

series217.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
35.0ms	(+ (* z b) t)
74.0ms	(* a (+ (* z b) t))

simplify1.0s

Counts

61 → 61

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	117	978
1	384	923
2	1862	861
done	5002	861

prune450.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (+ y (* b a))) x)
0.0b	(+ y (* b a))
0.0b	(+ (+ (* z (+ y (* b a))) x) (* a t))
2.0b	(* z (+ y (* b a)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

13.0ms	(+ (* z (+ y (* b a))) x)
10.0ms	(+ y (* b a))
81.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
32.0ms	(* z (+ y (* b a)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* z (+ y (* b a))) x)
36.0ms	(+ y (* b a))
146.0ms	(+ (+ (* z (+ y (* b a))) x) (* a t))
88.0ms	(* z (+ y (* b a)))

simplify1.0s

Counts

71 → 71

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	112	892
1	342	842
2	1640	780
done	5001	780

prune485.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

2.0b	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
2.5b	(cbrt (+ y (* b a)))
2.5b	(cbrt (+ y (* b a)))
2.5b	(cbrt (+ y (* b a)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

245.0ms	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
3.0ms	(cbrt (+ y (* b a)))
3.0ms	(cbrt (+ y (* b a)))
3.0ms	(cbrt (+ y (* b a)))

series551.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* z (* (* (cbrt (+ y (* b a))) (cbrt (+ y (* b a)))) (cbrt (+ y (* b a)))))
144.0ms	(cbrt (+ y (* b a)))
172.0ms	(cbrt (+ y (* b a)))
127.0ms	(cbrt (+ y (* b a)))

simplify810.0ms

Counts

98 → 98

Iterations

Useful iterations: done (804.0ms)

Iter	Nodes	Cost
0	169	2113
1	444	2068
2	1368	1644
done	5001	1526

prune674.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes690.0ms

Accuracy

59.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 3.0b

bsearch50.0ms

Steps

Iters	Range		Point
9	-3.7186071738290686e-06	-9.56710640408201e-13	-3.6778195167685823e-06

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	32
1	31	32
done	31	32

end0.0ms

sample2.0s

Algorithm

intervals

Results

750.0ms

11812×

body

valid