Details

sample60.0ms

Algorithm

intervals

Results

28.0ms	343×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid

simplify7.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	1637
7	1637
6	1617
5	1305
4	633
3	242
2	88
1	31
0	12

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize140.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma 2 (+ z y) t) (* 5.0 y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (fma 2 (+ z y) t) (* 5.0 y))

series136.0ms

Counts

1 → 3

Calls

1 calls:

136.0ms

(fma x (fma 2 (+ z y) t) (* 5.0 y))

simplify6.0s

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
4	1439
3	376
2	131
1	56
0	29

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma 2 (+ z y) t) (* 5.0 y))
0.0b	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
0.0b	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
0.3b	(* (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))) (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x (fma 2 (+ z y) t) (* 5.0 y))
2.0ms	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
4.0ms	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
487.0ms	(* (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))) (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))))

series3.4s

Counts

4 → 12

Calls

4 calls:

202.0ms	(fma x (fma 2 (+ z y) t) (* 5.0 y))
1.8s	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
1.3s	(sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y)))
121.0ms	(* (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))) (sqrt (fma x (fma 2 (+ z y) t) (* 5.0 y))))

simplify6.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
3	2017
2	583
1	234
0	106

prune850.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma (+ z y) 2 t) x (* 5.0 y))
3.2b	(exp (log (fma (fma (+ z y) 2 t) x (* 5.0 y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

1.0ms	(fma (fma (+ z y) 2 t) x (* 5.0 y))
17.0ms	(exp (log (fma (fma (+ z y) 2 t) x (* 5.0 y))))

series393.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(fma (fma (+ z y) 2 t) x (* 5.0 y))
277.0ms	(exp (log (fma (fma (+ z y) 2 t) x (* 5.0 y))))

simplify5.2s

Counts

33 → 33

Iterations

Iter	Nodes
done	5006
4	1457
3	379
2	151
1	88
0	52

prune569.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (fma (+ z y) 2 t) x)
0.0b	(fma y 5.0 (* (fma (+ z y) 2 t) x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

19.0ms	(* (fma (+ z y) 2 t) x)
1.0ms	(fma y 5.0 (* (fma (+ z y) 2 t) x))

series210.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (fma (+ z y) 2 t) x)
131.0ms	(fma y 5.0 (* (fma (+ z y) 2 t) x))

simplify4.4s

Counts

36 → 36

Iterations

Iter	Nodes
done	5005
3	1183
2	291
1	105
0	58

prune478.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes473.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample7.7s

Algorithm

intervals

Results

5.3s	10640×	body	80	valid
1.2s	97×	body	640	valid
334.0ms	67×	body	1280	valid
53.0ms	58×	body	320	valid
6.0ms	35×	body	160	valid