Details

sample39.0ms

Algorithm

intervals

Results

23.0ms

333×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	1596
6	565
5	286
4	200
3	99
2	47
1	25
0	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

1.0ms

(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify1.9s

Counts

14 → 14

Iterations

Iter	Nodes
done	5002
4	1311
3	374
2	143
1	55
0	30

prune79.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (fma 1.0 (* z 2.0) 2.0) (* t z)) (/ x y))
7.2b	(/ (fma 1.0 (* z 2.0) 2.0) (* t z))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`fma-def` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `times-frac` `add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `div-inv`
1×	`+-commutative` `clear-num` `associate-/r*` `sum-log` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 47

Calls

2 calls:

46.0ms	(+ (/ (fma 1.0 (* z 2.0) 2.0) (* t z)) (/ x y))
8.0ms	(/ (fma 1.0 (* z 2.0) 2.0) (* t z))

series204.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(+ (/ (fma 1.0 (* z 2.0) 2.0) (* t z)) (/ x y))
95.0ms	(/ (fma 1.0 (* z 2.0) 2.0) (* t z))

simplify2.1s

Counts

53 → 53

Iterations

Iter	Nodes
done	5021
3	3005
2	706
1	222
0	88

prune331.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma 1.0 (* z 2.0) 2.0) t)
0.0b	(+ (/ (/ (fma 1.0 (* z 2.0) 2.0) t) z) (/ x y))
5.9b	(/ (/ (fma 1.0 (* z 2.0) 2.0) t) z)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
94×	`*-un-lft-identity`
88×	`add-sqr-sqrt` `add-cube-cbrt`
43×	`fma-def`
16×	`associate-/l*`
10×	`add-cbrt-cube` `add-exp-log` `div-inv`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `flip-+` `associate-/l/`

Counts

3 → 163

Calls

3 calls:

9.0ms	(/ (fma 1.0 (* z 2.0) 2.0) t)
96.0ms	(+ (/ (/ (fma 1.0 (* z 2.0) 2.0) t) z) (/ x y))
19.0ms	(/ (/ (fma 1.0 (* z 2.0) 2.0) t) z)

series273.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (fma 1.0 (* z 2.0) 2.0) t)
106.0ms	(+ (/ (/ (fma 1.0 (* z 2.0) 2.0) t) z) (/ x y))
95.0ms	(/ (/ (fma 1.0 (* z 2.0) 2.0) t) z)

simplify2.0s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
3	4290
2	1236
1	464
0	205

prune913.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.0b	(/ (/ (fma 1.0 (* z 2.0) 2.0) (cbrt t)) (cbrt z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

258×	`times-frac`
144×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
141×	`cbrt-prod`
22×	`associate-/l*`
9×	`add-exp-log`
8×	`div-inv`
6×	`associate-/r*` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 220

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
20.0ms	(/ (/ (fma 1.0 (* z 2.0) 2.0) (cbrt t)) (cbrt z))

series912.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt z)
195.0ms	(cbrt z)
230.0ms	(cbrt z)
208.0ms	(/ (/ (fma 1.0 (* z 2.0) 2.0) (cbrt t)) (cbrt z))

simplify1.9s

Counts

232 → 232

Iterations

Iter	Nodes
done	5000
2	1806
1	775
0	339

prune1.7s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes350.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

10461×

body

valid