Details

sample53.0ms

Algorithm

intervals

Results

19.0ms

282×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3638
9	1242
8	657
7	374
6	278
5	190
4	116
3	61
2	33
1	18
0	10

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.0b	(fma (/ (- z t) (- z a)) y x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

20.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series222.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- z t) (- z a))
146.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4799
2	831
1	266
0	113

prune490.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ y (/ (- z a) (- z t))) x)
0.0b	(/ (- z a) (- z t))
1.8b	(/ y (/ (- z a) (- z t)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

386×	`times-frac`
322×	`*-un-lft-identity`
320×	`add-sqr-sqrt`
156×	`add-cube-cbrt`
98×	`fma-def`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
18×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 310

Calls

3 calls:

185.0ms	(+ (/ y (/ (- z a) (- z t))) x)
27.0ms	(/ (- z a) (- z t))
41.0ms	(/ y (/ (- z a) (- z t)))

series467.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ (/ y (/ (- z a) (- z t))) x)
78.0ms	(/ (- z a) (- z t))
239.0ms	(/ y (/ (- z a) (- z t)))

simplify1.6s

Counts

319 → 319

Iterations

Iter	Nodes
done	5001
2	4067
1	817
0	298

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z a) y)
0.0b	(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
0.5b	(/ 1 (/ (/ (- z a) y) (- z t)))
9.0b	(/ (/ (- z a) y) (- z t))

rewrite628.0ms

Algorithm

rewrite-expression-head

Rules

1996×	`times-frac`
1310×	`*-un-lft-identity`
1307×	`add-sqr-sqrt`
747×	`add-cube-cbrt`
308×	`fma-def`
280×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
53×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`associate-/r/`
10×	`cbrt-undiv`
9×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 936

Calls

4 calls:

22.0ms	(/ (- z a) y)
355.0ms	(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
86.0ms	(/ 1 (/ (/ (- z a) y) (- z t)))
36.0ms	(/ (/ (- z a) y) (- z t))

series666.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (- z a) y)
168.0ms	(+ (/ 1 (/ (/ (- z a) y) (- z t))) x)
343.0ms	(/ 1 (/ (/ (- z a) y) (- z t)))
110.0ms	(/ (/ (- z a) y) (- z t))

simplify1.5s

Counts

948 → 948

Iterations

Iter	Nodes
done	5001
1	2138
0	712

prune4.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (/ (- z t) (- z a)) x))
1.0b	(fma y (/ (- z t) (- z a)) x)
1.0b	(fma y (/ (- z t) (- z a)) x)
1.0b	(fma y (/ (- z t) (- z a)) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma y (/ (- z t) (- z a)) x))
1.0ms	(fma y (/ (- z t) (- z a)) x)
1.0ms	(fma y (/ (- z t) (- z a)) x)
1.0ms	(fma y (/ (- z t) (- z a)) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

361.0ms	(cbrt (fma y (/ (- z t) (- z a)) x))
533.0ms	(fma y (/ (- z t) (- z a)) x)
121.0ms	(fma y (/ (- z t) (- z a)) x)
147.0ms	(fma y (/ (- z t) (- z a)) x)

simplify1.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	2470
3	456
2	168
1	87
0	47

prune434.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes460.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

480.0ms	8781×	body	80	valid
0.0ms	1×	body	160	valid