Details

sample124.0ms

Algorithm

intervals

Results

89.0ms

505×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* i x) 4.0)
0.7b	(* k (* j 27.0))
2.0b	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
3.8b	(* (* y x) (* z 18.0))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

14.0ms	(* (* i x) 4.0)
12.0ms	(* k (* j 27.0))
80.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
21.0ms	(* (* y x) (* z 18.0))

series180.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* i x) 4.0)
20.0ms	(* k (* j 27.0))
102.0ms	(* (- (* (* y x) (* z 18.0)) (* a 4.0)) t)
33.0ms	(* (* y x) (* z 18.0))

simplify1.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
2	1589
1	441
0	171

prune717.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.7b	(* k (* j 27.0))
2.0b	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
2.8b	(* x (* z y))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*l/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

32.0ms	(* 18.0 (* x (* z y)))
12.0ms	(* k (* j 27.0))
189.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
28.0ms	(* x (* z y))

series218.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 18.0 (* x (* z y)))
29.0ms	(* k (* j 27.0))
110.0ms	(* (- (* 18.0 (* x (* z y))) (* a 4.0)) t)
30.0ms	(* x (* z y))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1228
1	363
0	146

prune802.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* i x) 4.0)
0.7b	(* k (* j 27.0))
2.0b	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
4.1b	(* (* 18.0 y) (* x z))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

20.0ms	(* (* i x) 4.0)
20.0ms	(* k (* j 27.0))
90.0ms	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
37.0ms	(* (* 18.0 y) (* x z))

series280.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* i x) 4.0)
30.0ms	(* k (* j 27.0))
179.0ms	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
37.0ms	(* (* 18.0 y) (* x z))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5005
2	1686
1	458
0	176

prune769.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* i x) 4.0)
0.2b	(* (* k j) 27.0)
2.0b	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
4.1b	(* (* 18.0 y) (* x z))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

14.0ms	(* (* i x) 4.0)
16.0ms	(* (* k j) 27.0)
106.0ms	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
53.0ms	(* (* 18.0 y) (* x z))

series267.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* i x) 4.0)
33.0ms	(* (* k j) 27.0)
153.0ms	(* t (- (* (* 18.0 y) (* x z)) (* 4.0 a)))
46.0ms	(* (* 18.0 y) (* x z))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5004
2	1736
1	467
0	178

prune820.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.9b

regimes2.0s

Accuracy

0% (3.0b remaining)

Error of 4.9b against oracle of 1.9b and baseline of 4.9b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	42
1	42
0	29

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.8s

16007×

body

valid