Details

sample61.0ms

Algorithm

intervals

Results

26.0ms

265×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 9.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(- (* y z) x)
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

19.0ms	(- (* t z) x)
10.0ms	(- (* y z) x)
181.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
63.0ms	(/ (- (* y z) x) (- (* t z) x))

series346.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* t z) x)
29.0ms	(- (* y z) x)
185.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
81.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify3.3s

Counts

125 → 125

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	187	2188
1	462	2069
2	1348	1919
3	4586	1906
done	5000	1906

prune569.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (fma (/ y (fma z t (- x))) z x) (+ x 1.0))
3.2b	(/ y (fma z t (- x)))
3.3b	(/ x (- (* t z) x))
4.8b	(fma (/ y (fma z t (- x))) z x)

rewrite38.0ms

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*`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`flip3--` `flip3-+` `flip--` `flip-+` `fma-udef`

Counts

4 → 105

Calls

4 calls:

13.0ms	(/ (fma (/ y (fma z t (- x))) z x) (+ x 1.0))
6.0ms	(/ y (fma z t (- x)))
16.0ms	(/ x (- (* t z) x))
1.0ms	(fma (/ y (fma z t (- x))) z x)

series501.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(/ (fma (/ y (fma z t (- x))) z x) (+ x 1.0))
48.0ms	(/ y (fma z t (- x)))
117.0ms	(/ x (- (* t z) x))
114.0ms	(fma (/ y (fma z t (- x))) z x)

simplify2.5s

Counts

117 → 117

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	193	1769
1	392	1730
2	968	1590
3	2136	1590
done	5000	1584

prune738.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (fma (/ t x) z -1))
0.6b	(fma (/ t x) z -1)
3.2b	(/ y (fma z t (- x)))
4.8b	(fma (/ y (fma z t (- x))) z x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

10.0ms	(/ 1 (fma (/ t x) z -1))
0.0ms	(fma (/ t x) z -1)
6.0ms	(/ y (fma z t (- x)))
1.0ms	(fma (/ y (fma z t (- x))) z x)

series302.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (fma (/ t x) z -1))
30.0ms	(fma (/ t x) z -1)
63.0ms	(/ y (fma z t (- x)))
133.0ms	(fma (/ y (fma z t (- x))) z x)

simplify3.4s

Counts

94 → 94

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	130	1084
1	216	1023
2	423	933
3	968	933
4	2709	930
done	5001	916

prune487.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ (/ y (- t (/ x z))) x) (+ x 1.0))
0.4b	(/ 1 (fma (/ t x) z -1))
0.6b	(fma (/ t x) z -1)
2.6b	(/ y (- t (/ x z)))

rewrite391.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
47×	`times-frac`
33×	`add-cube-cbrt`
13×	`associate-/r*`
12×	`add-exp-log`
10×	`add-cbrt-cube` `distribute-lft-out` `associate-/l*`
8×	`difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `div-exp` `associate-/r/` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `fma-udef` `inv-pow`

Counts

4 → 128

Calls

4 calls:

344.0ms	(/ (+ (/ y (- t (/ x z))) x) (+ x 1.0))
6.0ms	(/ 1 (fma (/ t x) z -1))
0.0ms	(fma (/ t x) z -1)
35.0ms	(/ y (- t (/ x z)))

series344.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(/ (+ (/ y (- t (/ x z))) x) (+ x 1.0))
96.0ms	(/ 1 (fma (/ t x) z -1))
44.0ms	(fma (/ t x) z -1)
52.0ms	(/ y (- t (/ x z)))

simplify2.7s

Counts

140 → 140

Iterations

Useful iterations: 3 (988.0ms)

Iter	Nodes	Cost
0	221	2041
1	451	1946
2	1090	1819
3	2528	1813
done	5001	1813

prune703.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes175.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	27
1	23	27
done	23	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

950.0ms

8343×

body

valid