Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

356×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	1440
7	1440
6	1408
5	1172
4	671
3	269
2	86
1	26
0	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.3b	(- (* x y) (* (* z 9.0) t))
5.7b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

17.0ms	(* (* z 9.0) t)
7.0ms	(- (* x y) (* (* z 9.0) t))
28.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series166.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* z 9.0) t)
65.0ms	(- (* x y) (* (* z 9.0) t))
81.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify3.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	4783
2	1147
1	331
0	119

prune437.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.3b	(- (* x y) (* 9.0 (* t z)))
5.7b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-l` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

26.0ms	(* 9.0 (* t z))
16.0ms	(- (* x y) (* 9.0 (* t z)))
26.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* 9.0 (* t z))
81.0ms	(- (* x y) (* 9.0 (* t z)))
105.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify2.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5022
3	4285
2	1064
1	312
0	114

prune363.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 9.0 t) z)
0.3b	(- (* x y) (* (* 9.0 t) z))
5.7b	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `insert-posit16` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 57

Calls

3 calls:

26.0ms	(* (* 9.0 t) z)
19.0ms	(- (* x y) (* (* 9.0 t) z))
24.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (* 9.0 t) z)
73.0ms	(- (* x y) (* (* 9.0 t) z))
100.0ms	(/ (- (* x y) (* (* 9.0 t) z)) (* a 2.0))

simplify2.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5008
3	4768
2	1235
1	333
0	118

prune281.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
4.9b	(/ (* x y) a)
4.9b	(/ (* t z) a)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`insert-posit16`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

31.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
16.0ms	(* 4.5 (/ (* t z) a))
8.0ms	(/ (* x y) a)
9.0ms	(/ (* t z) a)

series227.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
42.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* x y) a)
34.0ms	(/ (* t z) a)

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1649
1	405
0	148

prune454.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

regimes925.0ms

Accuracy

15.3% (5.9b remaining)

Error of 6.2b against oracle of 0.4b and baseline of 7.3b

bsearch1.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample1.3s

Algorithm

intervals

Results

906.0ms

11156×

body

valid