Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

266×

body

valid

simplify5.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	39	17
3	64	17
4	114	17
5	201	17
6	403	17
7	946	17
8	2515	17
done	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* y z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`distribute-lft-out`
7×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
5×	`add-log-exp`
4×	`associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `flip3--` `div-sub` `prod-diff` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`associate-+r-` `sub-neg` `fma-neg` `diff-log`

Counts

3 → 95

Calls

3 calls:

20.0ms	(- (* y z) x)
230.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
46.0ms	(/ (- (* y z) x) (- (* t z) x))

series353.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (* y z) x)
204.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
99.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify4.0s

Counts

104 → 104

Iterations

Useful iterations: 3 (2.3s)

Iter	Nodes	Cost
0	175	1983
1	436	1899
2	1293	1767
3	4473	1759
done	5000	1759

prune469.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
1.3b	(fma (/ y (- (* t z) x)) z x)
3.1b	(/ y (- (* t z) x))
3.9b	(/ x (- (* t z) x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
30×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
2×	`flip3--` `flip--`
1×	`flip3-+` `flip-+` `fma-udef`

Counts

4 → 107

Calls

4 calls:

21.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
1.0ms	(fma (/ y (- (* t z) x)) z x)
28.0ms	(/ y (- (* t z) x))
16.0ms	(/ x (- (* t z) x))

series413.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
101.0ms	(fma (/ y (- (* t z) x)) z x)
67.0ms	(/ y (- (* t z) x))
86.0ms	(/ x (- (* t z) x))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	184	1793
1	386	1754
2	968	1613
3	2140	1613
done	5000	1607

prune632.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
1.3b	(fma (/ y (- (* t z) x)) z x)
3.1b	(/ y (- (* t z) x))
3.8b	(* x (/ 1 (- (* t z) x)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
36×	`add-sqr-sqrt`
32×	`times-frac`
29×	`add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
13×	`add-cbrt-cube`
7×	`associate-/r*`
6×	`pow1` `associate-/r/` `associate-/l*`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `associate-l` `div-inv` `unswap-sqr`
2×	`flip3--` `frac-2neg` `clear-num` `flip--` `cbrt-unprod`
1×	`rec-exp` `flip3-+` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `fma-udef`

Counts

4 → 116

Calls

4 calls:

15.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
0.0ms	(fma (/ y (- (* t z) x)) z x)
15.0ms	(/ y (- (* t z) x))
60.0ms	(* x (/ 1 (- (* t z) x)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (fma (/ y (- (* t z) x)) z x) (+ 1.0 x))
100.0ms	(fma (/ y (- (* t z) x)) z x)
47.0ms	(/ y (- (* t z) x))
96.0ms	(* x (/ 1 (- (* t z) x)))

simplify2.1s

Counts

128 → 128

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	209	1907
1	469	1780
2	1104	1607
3	2472	1607
done	5000	1604

prune649.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.3b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.9b	(/ (- (* t z) x) (- (* y z) x))

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
95×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `prod-diff` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `inv-pow`

Counts

4 → 185

Calls

4 calls:

18.0ms	(- (* y z) x)
44.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
226.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
58.0ms	(/ (- (* t z) x) (- (* y z) x))

series532.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (* y z) x)
159.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
251.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
94.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify1.7s

Counts

197 → 197

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	285	4287
1	664	3958
2	1773	3524
done	5000	3480

prune671.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes173.0ms

Accuracy

0% (4.4b remaining)

Error of 4.6b against oracle of 0.3b and baseline of 4.6b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	28
1	21	28
done	21	28

end0.0ms

sample1.4s

Algorithm

intervals

Results

988.0ms

8336×

body

valid