Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

347×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	27	13
2	90	13
3	289	13
4	704	13
5	1255	13
6	1559	13
7	1592	13
done	1592	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

7.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series132.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* (* z 9.0) t)
52.0ms	(- (* x y) (* (* z 9.0) t))
64.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify526.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	127	944
1	349	906
2	1517	787
done	5001	787

prune207.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.5b	(- (* x y) (* 9.0 (* t z)))
9.3b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
3.0ms	(- (* x y) (* 9.0 (* t z)))
8.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series137.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* 9.0 (* t z))
50.0ms	(- (* x y) (* 9.0 (* t z)))
65.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify427.0ms

Counts

71 → 71

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	122	941
1	337	905
2	1295	786
done	5000	786

prune202.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
9.4b	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
34×	`times-frac`
33×	`add-exp-log`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`associate-r`
14×	`associate-l`
11×	`pow1` `prod-exp`
9×	`div-exp`
7×	`cbrt-unprod`
6×	`add-log-exp` `unswap-sqr`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`rec-exp` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-r/` `prod-diff` `associate-l/` `clear-num`

Counts

4 → 126

Calls

4 calls:

7.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
7.0ms	(* (* z 9.0) t)
3.0ms	(- (* x y) (* (* z 9.0) t))
20.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

series245.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- (* x y) (* (* z 9.0) t)) 2.0)
20.0ms	(* (* z 9.0) t)
50.0ms	(- (* x y) (* (* z 9.0) t))
119.0ms	(* (/ 1 a) (/ (- (* x y) (* (* z 9.0) t)) 2.0))

simplify951.0ms

Counts

138 → 138

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	215	2292
1	603	2140
2	2523	1869
done	5000	1869

prune363.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (- (* t (* z 9.0))))
0.2b	(* t (* z 9.0))
9.3b	(/ (fma x y (- (* t (* z 9.0)))) (* a 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-l` `pow-prod-down` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `associate-r` `clear-num` `associate-/r` `-commutative` `fma-udef` `div-inv`

Counts

3 → 53

Calls

3 calls:

0.0ms	(fma x y (- (* t (* z 9.0))))
6.0ms	(* t (* z 9.0))
3.0ms	(/ (fma x y (- (* t (* z 9.0)))) (* a 2.0))

series143.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma x y (- (* t (* z 9.0))))
22.0ms	(* t (* z 9.0))
66.0ms	(/ (fma x y (- (* t (* z 9.0)))) (* a 2.0))

simplify1.1s

Counts

62 → 62

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	103	763
1	233	757
2	831	631
3	3235	631
done	5000	630

prune172.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 9.4b

regimes468.0ms

Accuracy

0% (0.4b remaining)

Error of 8.0b against oracle of 7.6b and baseline of 8.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	25	13
2	35	13
done	35	13

end0.0ms

sample744.0ms

Algorithm

intervals

Results

392.0ms

11159×

body

valid