Details

sample51.0ms

Algorithm

intervals

Results

18.0ms

444×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	18	19
1	33	18
2	87	17
3	254	17
4	836	17
5	1983	17
6	3876	17
7	4749	17
done	5000	17

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* z t) (* (* c (fma c b a)) i))
0.0b	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
0.1b	(* c (fma c b a))
8.9b	(* (* c (fma c b a)) i)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-udef`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

9.0ms	(- (* z t) (* (* c (fma c b a)) i))
0.0ms	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
10.0ms	(* c (fma c b a))
18.0ms	(* (* c (fma c b a)) i)

series796.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(- (* z t) (* (* c (fma c b a)) i))
568.0ms	(fma y x (- (* z t) (* (* c (fma c b a)) i)))
37.0ms	(* c (fma c b a))
59.0ms	(* (* c (fma c b a)) i)

simplify2.9s

Counts

80 → 80

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	119	1053
1	263	1007
2	905	887
3	4710	862
done	5000	862

prune322.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z t (- (* (* c (fma c b a)) i)))
0.0b	(fma y x (fma z t (- (* (* c (fma c b a)) i))))
0.1b	(* c (fma c b a))
8.9b	(* (* c (fma c b a)) i)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

0.0ms	(fma z t (- (* (* c (fma c b a)) i)))
0.0ms	(fma y x (fma z t (- (* (* c (fma c b a)) i))))
7.0ms	(* c (fma c b a))
22.0ms	(* (* c (fma c b a)) i)

series838.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(fma z t (- (* (* c (fma c b a)) i)))
592.0ms	(fma y x (fma z t (- (* (* c (fma c b a)) i))))
39.0ms	(* c (fma c b a))
61.0ms	(* (* c (fma c b a)) i)

simplify1.8s

Counts

74 → 74

Iterations

Useful iterations: 3 (728.0ms)

Iter	Nodes	Cost
0	102	895
1	199	879
2	637	749
3	2771	725
done	5002	725

prune304.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z t (- (* (* i c) (fma c b a))))
0.0b	(fma y x (fma z t (- (* (* i c) (fma c b a)))))
7.0b	(* (* i c) (fma c b a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-udef`
3×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma z t (- (* (* i c) (fma c b a))))
0.0ms	(fma y x (fma z t (- (* (* i c) (fma c b a)))))
18.0ms	(* (* i c) (fma c b a))

series847.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(fma z t (- (* (* i c) (fma c b a))))
621.0ms	(fma y x (fma z t (- (* (* i c) (fma c b a)))))
55.0ms	(* (* i c) (fma c b a))

simplify2.0s

Counts

51 → 51

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	82	707
1	175	696
2	628	570
3	2835	570
done	5001	570

prune218.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.2b

localize22.0ms

Local error

Found 4 expressions with local error:

2.5b	(cbrt (fma c b a))
2.5b	(cbrt (fma c b a))
2.5b	(cbrt (fma c b a))
4.0b	(* (* i c) (* (cbrt (fma c b a)) (cbrt (fma c b a))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
35.0ms	(* (* i c) (* (cbrt (fma c b a)) (cbrt (fma c b a))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (fma c b a))
133.0ms	(cbrt (fma c b a))
122.0ms	(cbrt (fma c b a))
151.0ms	(* (* i c) (* (cbrt (fma c b a)) (cbrt (fma c b a))))

simplify2.1s

Counts

75 → 75

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	98	973
1	251	926
2	824	781
3	3060	752
done	5001	736

prune327.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 1.2b

regimes526.0ms

Accuracy

0% (0.9b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	17
1	23	17
2	31	17
done	31	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

673.0ms

15152×

body

valid