Details

sample226.0ms

Algorithm

intervals

Results

80.0ms	84×	body	1280	valid
76.0ms	89×	body	2560	valid
24.0ms	250×	body	80	nan
17.0ms	36×	body	640	valid
9.0ms	22×	body	320	valid
3.0ms	13×	body	160	valid
1.0ms	12×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
6	3462
5	1131
4	454
3	177
2	65
1	24
0	9

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize31.0ms

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)))

rewrite3.0ms

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)
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series111.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(fma (* -5 v) v 1)
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.4s

Counts

28 → 28

Iterations

Iter	Nodes
5	4282
4	1030
3	303
2	93
1	52
0	38

prune299.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:

0.0ms	(fma (* -5 v) v 1)
2.0ms	(log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
6.0ms	(exp (log (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(fma (* -5 v) v 1)
101.0ms	(log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
4.0ms	(exp (log (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))
5.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.5s

Counts

67 → 67

Iterations

Iter	Nodes
5	4578
4	1206
3	401
2	158
1	98
0	69

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

5.0ms	(exp (* (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
17.0ms	(* (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp (* (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
80.0ms	(* (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))) (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
3.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.1s

Counts

104 → 104

Iterations

Iter	Nodes
5	3942
4	989
3	463
2	252
1	142
0	83

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

2.0ms	(log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
7.0ms	(exp (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
168.0ms	(exp (sqrt (log (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
4.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

simplify3.1s

Counts

67 → 67

Iterations

Iter	Nodes
8	3909
7	1345
6	614
5	331
4	199
3	140
2	105
1	77
0	58

prune890.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	15
1	15
0	14

end0.0ms

sample8.0s

Algorithm

intervals

Results

3.4s	3030×	body	2560	valid
2.3s	2449×	body	1280	valid
872.0ms	7995×	body	80	nan
678.0ms	1260×	body	640	valid
281.0ms	615×	body	320	valid
141.0ms	428×	body	160	valid
56.0ms	218×	body	80	valid