Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

347×

body

valid

simplify140.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
6.3b	(* (* a z) b)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

145.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
8.0ms	(+ x (* y z))
27.0ms	(* (* a z) b)

series216.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
35.0ms	(+ x (* y z))
41.0ms	(* (* a z) b)

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (266.0ms)

Iter	Nodes	Cost
0	98	635
1	282	603
2	1632	509
done	5002	509

prune187.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ x (* y z))
5.3b	(* a (* z b))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

138.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
10.0ms	(+ x (* y z))
28.0ms	(* a (* z b))

series238.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
52.0ms	(+ x (* y z))
38.0ms	(* a (* z b))

simplify816.0ms

Counts

52 → 52

Iterations

Useful iterations: done (814.0ms)

Iter	Nodes	Cost
0	94	632
1	269	602
2	1268	512
done	5000	508

prune196.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* z y) x) (* a (+ (* z b) t))))
3.2b	(* a (+ (* z b) t))
3.2b	(* a (+ (* z b) t))
3.2b	(* a (+ (* z b) t))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

23.0ms	(cbrt (+ (+ (* z y) x) (* a (+ (* z b) t))))
26.0ms	(* a (+ (* z b) t))
31.0ms	(* a (+ (* z b) t))
43.0ms	(* a (+ (* z b) t))

series416.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt (+ (+ (* z y) x) (* a (+ (* z b) t))))
65.0ms	(* a (+ (* z b) t))
42.0ms	(* a (+ (* z b) t))
46.0ms	(* a (+ (* z b) t))

simplify1.2s

Counts

95 → 95

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	150	1434
1	451	1352
2	1772	1263
done	5000	1256

prune478.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

84.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.9b

bsearch85.0ms

Steps

Iters	Range		Point
5	1.8651446194373927e-29	4.709091577210833e-29	2.2756708579190276e-29
5	-2.1605646065660852e+84	-8.676153256911245e+83	-1.1059469748029923e+84

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	53
1	35	39
done	35	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

11741×

body

valid