Details

sample184.0ms

Algorithm

intervals

Results

83.0ms	89×	body	2560	valid
44.0ms	84×	body	1280	valid
19.0ms	250×	body	80	nan
14.0ms	36×	body	640	valid
6.0ms	22×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	12×	body	80	valid

simplify923.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	2001
4	491
3	180
2	67
1	26
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* -5 v) v 1)
0.7b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (* -5 v) v 1)
1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series113.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(fma (* -5 v) v 1)
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.2s

Counts

28 → 28

Iterations

Iter	Nodes
done	2002
5	2002
4	1283
3	338
2	101
1	54
0	38

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* v v) -5 1)
0.0b	(log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))
0.0b	(exp (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))
0.7b	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum`
2×	`log-pow`
1×	`acos-asin` `rem-log-exp` `fma-udef` `rem-exp-log`

Counts

4 → 55

Calls

4 calls:

1.0ms	(fma (* v v) -5 1)
2.0ms	(log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))
2.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma (* v v) -5 1)
98.0ms	(log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))
5.0ms	(exp (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))
5.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

simplify1.3s

Counts

67 → 67

Iterations

Iter	Nodes
done	2023
5	2023
4	1575
3	439
2	191
1	116
0	73

prune668.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))))
0.0b	(exp (* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))))
0.7b	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))
0.7b	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

26×	`sqrt-prod`
25×	`pow1`
24×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2`
7×	`associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`acos-asin`
1×	`pow2` `exp-prod` `rem-square-sqrt` `pow-plus` `exp-to-pow` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))))
5.0ms	(exp (* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))))
1.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))
1.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))))
3.0ms	(exp (* (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1))))) (sqrt (log (acos (/ (fma (* v v) -5 1) (- (* v v) 1)))))))
3.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))
3.0ms	(acos (/ (fma (* v v) -5 1) (- (* v v) 1)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	2037
4	2037
3	843
2	309
1	163
0	88

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (* -5 v) v 1)
0.7b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 22

Calls

2 calls:

0.0ms	(fma (* -5 v) v 1)
6.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma (* -5 v) v 1)
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify1.4s

Counts

28 → 28

Iterations

Iter	Nodes
done	2002
5	2002
4	1283
3	338
2	101
1	54
0	38

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes203.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.6b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.4s	3030×	body	2560	valid
2.3s	2449×	body	1280	valid
905.0ms	7995×	body	80	nan
645.0ms	1260×	body	640	valid
276.0ms	615×	body	320	valid
169.0ms	428×	body	160	valid
32.0ms	218×	body	80	valid