Details

sample31.0ms

Algorithm

intervals

Results

11.0ms

282×

body

valid

simplify3.6s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:

23.0ms	(/ (- z t) (- z a))
0.0ms	(fma (/ (- z t) (- z a)) y x)

series173.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- z t) (- z a))
114.0ms	(fma (/ (- z t) (- z a)) y x)

simplify2.3s

Counts

70 → 70

Iterations

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

prune482.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (- z a) (- z t)))
1.0b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 214

Calls

3 calls:

48.0ms	(/ (- z a) (- z t))
33.0ms	(/ 1 (/ (- z a) (- z t)))
0.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series393.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z a) (- z t))
148.0ms	(/ 1 (/ (- z a) (- z t)))
182.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify2.2s

Counts

223 → 223

Iterations

Iter	Nodes
done	5002
2	4223
1	707
0	269

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(/ 1 (- z a))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

19.0ms	(/ 1 (- z t))
19.0ms	(/ 1 (- z a))
77.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

series397.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- z t))
54.0ms	(/ 1 (- z a))
144.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
154.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

simplify2.2s

Counts

625 → 625

Iterations

Iter	Nodes
done	5002
1	2560
0	746

prune2.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x))
1.0b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
1.0b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
1.0b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

rewrite2.0ms

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 (/ (/ 1 (- z a)) (/ 1 (- z t))) y x))
0.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
0.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
0.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

series1.1s

Counts

4 → 12

Calls

4 calls:

587.0ms	(cbrt (fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x))
173.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
156.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)
187.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

simplify1.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	875
2	224
1	97
0	55

prune330.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes562.0ms

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

sample1.6s

Algorithm

intervals

Results

488.0ms	8781×	body	80	valid
0.0ms	1×	body	160	valid