Details

sample46.0ms

Algorithm

intervals

Results

31.0ms

344×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma z 1.0 1) z)
0.2b	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

2 → 41

Calls

2 calls:

4.0ms	(/ (fma z 1.0 1) z)
0.0ms	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series186.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/ (fma z 1.0 1) z)
90.0ms	(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify2.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5133
4	3432
3	894
2	334
1	136
0	79

prune224.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (fma 2.0 (* z 1.0) 2.0) z)
0.0b	(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
0.1b	(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

rewrite35.0ms

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:

6.0ms	(/ (fma 2.0 (* z 1.0) 2.0) z)
17.0ms	(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
8.0ms	(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

series277.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(/ (fma 2.0 (* z 1.0) 2.0) z)
92.0ms	(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
84.0ms	(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

simplify2.3s

Counts

172 → 172

Iterations

Iter	Nodes
done	5000
3	4156
2	1217
1	460
0	203

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (fma 2.0 (* z 1.0) 2.0) (* t z)) (/ x y))
8.5b	(/ (fma 2.0 (* z 1.0) 2.0) (* t z))

rewrite54.0ms

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:

40.0ms	(+ (/ (fma 2.0 (* z 1.0) 2.0) (* t z)) (/ x y))
14.0ms	(/ (fma 2.0 (* z 1.0) 2.0) (* t z))

series200.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(+ (/ (fma 2.0 (* z 1.0) 2.0) (* t z)) (/ x y))
85.0ms	(/ (fma 2.0 (* z 1.0) 2.0) (* t z))

simplify2.2s

Counts

53 → 53

Iterations

Iter	Nodes
done	5023
3	2998
2	706
1	222
0	88

prune389.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

314.0ms	(* (cbrt z) (cbrt z))
262.0ms	(cbrt z)
290.0ms	(cbrt z)
292.0ms	(cbrt z)

simplify3.6s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
4	4657
3	1110
2	364
1	141
0	67

prune519.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	13

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.5s

10402×

body

valid