Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

266×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	65	15
4	96	15
5	130	15
6	163	15
7	239	15
8	396	15
9	707	15
10	1553	15
11	4269	15
done	5000	15

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- t a))
0.8b	(fma x y (* z (- t a)))
21.8b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

12.0ms	(* z (- t a))
0.0ms	(fma x y (* z (- t a)))
3.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series442.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* z (- t a))
50.0ms	(fma x y (* z (- t a)))
351.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: 3 (443.0ms)

Iter	Nodes	Cost
0	163	1562
1	288	1378
2	686	1188
3	2492	1146
done	5001	1146

prune291.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- t a))
1.4b	(+ (* x y) (* z (- t a)))
21.8b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`prod-diff`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
44×	`associate-+r+`
33×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1` `sub-neg`
5×	`associate-r`
4×	`expm1-log1p-u` `fma-def` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

6.0ms	(+ y (* z (- b y)))
12.0ms	(* z (- t a))
7.0ms	(+ (* x y) (* z (- t a)))
12.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (* z (- b y)))
41.0ms	(* z (- t a))
44.0ms	(+ (* x y) (* z (- t a)))
354.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify786.0ms

Counts

165 → 165

Iterations

Useful iterations: done (782.0ms)

Iter	Nodes	Cost
0	279	2673
1	569	2249
2	1501	1865
done	5000	1847

prune500.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 21.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.7b	(/ 1 (fma z (- b y) y))
0.8b	(fma x y (* z (- t a)))
21.5b	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
34×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
18×	`associate-r` `prod-diff`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
6×	`associate-l`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`flip3--` `pow-flip` `frac-2neg` `clear-num` `un-div-inv` `flip--` `fma-udef` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

13.0ms	(* z (- t a))
2.0ms	(/ 1 (fma z (- b y) y))
0.0ms	(fma x y (* z (- t a)))
8.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* z (- t a))
60.0ms	(/ 1 (fma z (- b y) y))
49.0ms	(fma x y (* z (- t a)))
347.0ms	(* (fma x y (* z (- t a))) (/ 1 (fma z (- b y) y)))

simplify2.4s

Counts

139 → 139

Iterations

Useful iterations: 3 (909.0ms)

Iter	Nodes	Cost
0	200	2133
1	389	1818
2	927	1550
3	3566	1508
done	5000	1508

prune370.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 21.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.8b	(fma z (- t a) (* x y))
21.8b	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-exp-log` `associate-/r*`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `associate-/r/` `fma-udef` `inv-pow`

Counts

3 → 117

Calls

3 calls:

6.0ms	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
0.0ms	(fma z (- t a) (* x y))
2.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

series1.4s

Counts

3 → 9

Calls

3 calls:

1.2s	(/ 1 (/ (fma (- b y) z y) (fma z (- t a) (* x y))))
49.0ms	(fma z (- t a) (* x y))
154.0ms	(/ (fma (- b y) z y) (fma z (- t a) (* x y)))

simplify1.6s

Counts

126 → 126

Iterations

Useful iterations: 3 (544.0ms)

Iter	Nodes	Cost
0	170	3177
1	350	2961
2	713	2682
3	2123	2664
done	5000	2664

prune325.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 15.1b

regimes482.0ms

Accuracy

71.8% (2.4b remaining)

Error of 17.8b against oracle of 15.4b and baseline of 23.8b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	31	108
1	42	102
done	42	102

end0.0ms

sample630.0ms

Algorithm

intervals

Results

345.0ms

8403×

body

valid