Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

264×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3129
6	793
5	262
4	114
3	64
2	39
1	25
0	13

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- (* z y) x) (- (* z t) x)))
0.2b	(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
11.7b	(/ (- (* z y) x) (- (* z t) x))

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

62.0ms	(+ x (/ (- (* z y) x) (- (* z t) x)))
139.0ms	(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
25.0ms	(/ (- (* z y) x) (- (* z t) x))

series585.0ms

Counts

3 → 9

Calls

3 calls:

206.0ms	(+ x (/ (- (* z y) x) (- (* z t) x)))
260.0ms	(/ (+ x (/ (- (* z y) x) (- (* z t) x))) (+ 1.0 x))
119.0ms	(/ (- (* z y) x) (- (* z t) x))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1785
1	410
0	155

prune684.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ z (- (* t z) x)) y x)
0.2b	(/ (- (fma (/ z (- (* t z) x)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
3.4b	(/ x (- (* z t) x))
8.8b	(/ z (- (* t z) x))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
47×	`times-frac`
32×	`add-cube-cbrt`
12×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r/`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
2×	`associate-/l/`
1×	`flip3-+` `div-sub` `flip-+` `fma-udef`

Counts

4 → 125

Calls

4 calls:

1.0ms	(fma (/ z (- (* t z) x)) y x)
140.0ms	(/ (- (fma (/ z (- (* t z) x)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
12.0ms	(/ x (- (* z t) x))
11.0ms	(/ z (- (* t z) x))

series517.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(fma (/ z (- (* t z) x)) y x)
251.0ms	(/ (- (fma (/ z (- (* t z) x)) y x) (/ x (- (* z t) x))) (+ 1.0 x))
103.0ms	(/ x (- (* z t) x))
52.0ms	(/ z (- (* t z) x))

simplify1.2s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	2107
1	551
0	231

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (- (+ (/ z (/ (fma z t (- x)) y)) x) (/ x (- (* z t) x))) (+ 1.0 x))
2.9b	(/ (fma z t (- x)) y)
3.4b	(/ x (- (* z t) x))
8.9b	(/ z (/ (fma z t (- x)) y))

rewrite812.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
116×	`*-un-lft-identity`
100×	`add-sqr-sqrt`
75×	`add-cube-cbrt`
23×	`associate-/r*`
16×	`associate-/l*`
15×	`add-cbrt-cube` `add-exp-log`
13×	`distribute-lft-out`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
2×	`flip3-+` `flip3--` `frac-sub` `flip-+` `flip--`
1×	`div-sub`

Counts

4 → 192

Calls

4 calls:

750.0ms	(/ (- (+ (/ z (/ (fma z t (- x)) y)) x) (/ x (- (* z t) x))) (+ 1.0 x))
10.0ms	(/ (fma z t (- x)) y)
21.0ms	(/ x (- (* z t) x))
24.0ms	(/ z (/ (fma z t (- x)) y))

series528.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (- (+ (/ z (/ (fma z t (- x)) y)) x) (/ x (- (* z t) x))) (+ 1.0 x))
99.0ms	(/ (fma z t (- x)) y)
97.0ms	(/ x (- (* z t) x))
121.0ms	(/ z (/ (fma z t (- x)) y))

simplify1.6s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
2	3794
1	838
0	328

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ z (/ (fma z t (- x)) y))
9.4b	(cbrt (/ x (fma t z (- x))))
9.4b	(cbrt (/ x (fma t z (- x))))
9.4b	(cbrt (/ x (fma t z (- x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
67×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
39×	`cbrt-prod`
13×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp` `associate-/l*`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 144

Calls

4 calls:

15.0ms	(/ z (/ (fma z t (- x)) y))
3.0ms	(cbrt (/ x (fma t z (- x))))
4.0ms	(cbrt (/ x (fma t z (- x))))
12.0ms	(cbrt (/ x (fma t z (- x))))

series910.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(/ z (/ (fma z t (- x)) y))
293.0ms	(cbrt (/ x (fma t z (- x))))
237.0ms	(cbrt (/ x (fma t z (- x))))
268.0ms	(cbrt (/ x (fma t z (- x))))

simplify1.1s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1850
1	469
0	219

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes295.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.2b and baseline of 2.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

935.0ms

8356×

body

valid