Details

sample72.0ms

Algorithm

intervals

Results

34.0ms

382×

body

valid

simplify133.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

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 4 expressions with local error:

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

rewrite203.0ms

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:

10.0ms	(+ x (* y z))
36.0ms	(+ (+ x (* y z)) (* t a))
119.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
33.0ms	(* (* a z) b)

series232.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ x (* y z))
54.0ms	(+ (+ x (* y z)) (* t a))
104.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
44.0ms	(* (* a z) b)

simplify1.4s

Counts

68 → 68

Iterations

Useful iterations: 2 (299.0ms)

Iter	Nodes	Cost
0	115	854
1	347	787
2	2356	707
done	5002	707

prune233.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* a z) b)
14.8b	(cbrt (* (* a z) b))
14.8b	(cbrt (* (* a z) b))
14.8b	(cbrt (* (* a z) b))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 45

Calls

4 calls:

21.0ms	(* (* a z) b)
19.0ms	(cbrt (* (* a z) b))
19.0ms	(cbrt (* (* a z) b))
26.0ms	(cbrt (* (* a z) b))

series378.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* a z) b)
129.0ms	(cbrt (* (* a z) b))
109.0ms	(cbrt (* (* a z) b))
99.0ms	(cbrt (* (* a z) b))

simplify689.0ms

Counts

57 → 57

Iterations

Useful iterations: done (687.0ms)

Iter	Nodes	Cost
0	76	525
1	186	505
2	918	433
done	5000	419

prune296.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
0.6b	(cbrt (+ x (* y z)))
5.1b	(* (* a z) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
18.0ms	(* (* a z) b)

series496.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (+ x (* y z)))
144.0ms	(cbrt (+ x (* y z)))
154.0ms	(cbrt (+ x (* y z)))
28.0ms	(* (* a z) b)

simplify801.0ms

Counts

69 → 69

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	106	807
1	269	775
2	1224	701
done	5001	671

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* a (+ t (* z b))))
0.0b	(+ t (* z b))
2.7b	(* a (+ t (* z b)))

rewrite73.0ms

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-+r+` `distribute-lft-in`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

7.0ms	(+ x (* y z))
37.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
7.0ms	(+ t (* z b))
20.0ms	(* a (+ t (* z b)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ x (* y z))
96.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
28.0ms	(+ t (* z b))
73.0ms	(* a (+ t (* z b)))

simplify1.0s

Counts

75 → 75

Iterations

Useful iterations: 2 (190.0ms)

Iter	Nodes	Cost
0	122	1090
1	397	1010
2	1981	952
done	5002	952

prune241.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

1.9% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch75.0ms

Steps

Iters	Range		Point
1	3.747042480103574e-45	4.0147992178466876e-45	3.947860033410909e-45
7	-1.4808840037486495e-144	-1.8378602588403202e-146	-1.5785670637372353e-145

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	81
1	41	52
done	41	52

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

11671×

body

valid