Details

sample32.0ms

Algorithm

intervals

Results

11.0ms

370×

body

valid

simplify82.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
4.7b	(* (* a z) b)

rewrite130.0ms

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:

21.0ms	(+ (+ x (* y z)) (* t a))
85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(+ x (* y z))
17.0ms	(* (* a z) b)

series192.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (+ x (* y z)) (* t a))
85.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
28.0ms	(+ x (* y z))
27.0ms	(* (* a z) b)

simplify713.0ms

Counts

68 → 68

Iterations

Useful iterations: done (711.0ms)

Iter	Nodes	Cost
0	115	854
1	330	787
2	1415	703
done	5000	695

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
0.0b	(+ x (* y z))
5.6b	(* a (* z b))

rewrite135.0ms

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-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative`

Counts

4 → 56

Calls

4 calls:

22.0ms	(+ (+ x (* y z)) (* t a))
86.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
5.0ms	(+ x (* y z))
19.0ms	(* a (* z b))

series198.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (+ x (* y z)) (* t a))
92.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
26.0ms	(+ x (* y z))
31.0ms	(* a (* z b))

simplify642.0ms

Counts

68 → 68

Iterations

Useful iterations: done (640.0ms)

Iter	Nodes	Cost
0	111	851
1	319	786
2	1297	702
done	5000	694

prune149.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
3.4b	(* a (+ t (* z b)))
3.4b	(* a (+ t (* z b)))
3.4b	(* a (+ t (* z b)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

11.0ms	(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
233.0ms	(* a (+ t (* z b)))
15.0ms	(* a (+ t (* z b)))
15.0ms	(* a (+ t (* z b)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (+ (* y z) (+ x (* a (+ t (* z b))))))
59.0ms	(* a (+ t (* z b)))
56.0ms	(* a (+ t (* z b)))
62.0ms	(* a (+ t (* z b)))

simplify1.9s

Counts

91 → 91

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	114	1146
1	324	1108
2	1040	989
3	4083	974
done	5000	965

prune269.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

3.4b	(* a (+ t (* z b)))
3.4b	(* a (+ t (* z b)))
3.4b	(* a (+ t (* z b)))
3.4b	(* a (+ t (* z b)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

15.0ms	(* a (+ t (* z b)))
16.0ms	(* a (+ t (* z b)))
17.0ms	(* a (+ t (* z b)))
15.0ms	(* a (+ t (* z b)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* a (+ t (* z b)))
59.0ms	(* a (+ t (* z b)))
56.0ms	(* a (+ t (* z b)))
60.0ms	(* a (+ t (* z b)))

simplify1.2s

Counts

100 → 100

Iterations

Useful iterations: 3 (337.0ms)

Iter	Nodes	Cost
0	49	980
1	144	952
2	489	856
3	1826	840
done	5000	840

prune348.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

32.4% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.9b

bsearch48.0ms

Steps

Iters	Range		Point
9	-5.506612743790931e-114	-2.834157559230948e-121	-1.1587911218134321e-117

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	29	34
done	29	34

end0.0ms

sample940.0ms

Algorithm

intervals

Results

385.0ms

11861×

body

valid