Details

sample60.0ms

Algorithm

intervals

Results

34.0ms

387×

body

valid

simplify127.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	56	13
3	93	13
4	108	13
5	109	13
done	109	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

10.0ms	(+ t (* z b))
10.0ms	(+ x (* y z))
24.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
38.0ms	(* a (+ t (* z b)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ t (* z b))
32.0ms	(+ x (* y z))
141.0ms	(+ (* a (+ t (* z b))) (+ x (* y z)))
76.0ms	(* a (+ t (* z b)))

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: 2 (295.0ms)

Iter	Nodes	Cost
0	123	1096
1	402	1010
2	1651	960
done	5000	960

prune306.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* z b) a) (+ x (* y z)))
0.0b	(+ (* a t) (+ (* (* z b) a) (+ x (* y z))))
0.0b	(+ x (* y z))
5.1b	(* (* z b) a)

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

37.0ms	(+ (* (* z b) a) (+ x (* y z)))
121.0ms	(+ (* a t) (+ (* (* z b) a) (+ x (* y z))))
11.0ms	(+ x (* y z))
34.0ms	(* (* z b) a)

series300.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* (* z b) a) (+ x (* y z)))
128.0ms	(+ (* a t) (+ (* (* z b) a) (+ x (* y z))))
38.0ms	(+ x (* y z))
30.0ms	(* (* z b) a)

simplify986.0ms

Counts

68 → 68

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	116	900
1	343	821
2	1409	737
done	5000	699

prune282.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
6.7b	(* (* a z) b)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

112.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
34.0ms	(+ (+ x (* y z)) (* t a))
11.0ms	(+ x (* y z))
35.0ms	(* (* a z) b)

series222.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
56.0ms	(+ (+ x (* y z)) (* t a))
27.0ms	(+ x (* y z))
29.0ms	(* (* a z) b)

simplify945.0ms

Counts

68 → 68

Iterations

Useful iterations: done (943.0ms)

Iter	Nodes	Cost
0	115	854
1	330	787
2	1416	703
done	5001	695

prune221.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
1.2b	(* (cbrt a) (+ t (* z b)))
1.2b	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
27.0ms	(* (cbrt a) (+ t (* z b)))
84.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

series899.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt a)
243.0ms	(cbrt a)
293.0ms	(* (cbrt a) (+ t (* z b)))
116.0ms	(* (* (cbrt a) (cbrt a)) (* (cbrt a) (+ t (* z b))))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	111	1037
1	325	1004
2	1363	741
done	5000	635

prune264.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

81.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch180.0ms

Steps

Iters	Range		Point
10	5.342657319925775e+98	6.209613218339593e+116	6.065547839025837e+109
8	-2.0250821321394884e+30	-1.2148707878735749e+27	-1.7881082058704177e+30

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	28	65
1	43	44
done	43	44

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.6s

11795×

body

valid