Details

sample211.0ms

Algorithm

intervals

Results

101.0ms	104×	body	2560	valid
44.0ms	72×	body	1280	valid
23.0ms	44×	body	640	valid
18.0ms	216×	body	80	nan
6.0ms	20×	body	320	valid
3.0ms	15×	body	160	valid
0.0ms	1×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 1 expressions with local error:

0.2b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`acos-asin` `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`

Counts

1 → 11

Calls

1 calls:

1.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify1.6s

Counts

14 → 14

Iterations

Iter	Nodes
done	2012
9	2012
8	1338
7	638
6	288
5	133
4	79
3	53
2	40
1	31
0	23

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

1.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
1.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
9.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(acos (/ (fma (* -5 v) v 1) (fma v v -1)))
16.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
18.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
3.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	2002
4	2002
3	525
2	214
1	128
0	72

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
1.0b	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`sqrt-prod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-l` `add-exp-log`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-prod` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `unswap-sqr`
1×	`pow1/3` `pow3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

2.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
6.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
12.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
4.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

series59.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
14.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
6.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))
26.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	2000
7	2000
6	1553
5	579
4	355
3	261
2	194
1	102
0	60

prune389.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
1.0b	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (* (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))) (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))))
1.0b	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
1.0b	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
12×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt` `sqrt-prod`
6×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`cbrt-prod` `pow1/3` `sqrt-unprod` `pow3` `rem-cbrt-cube` `unswap-sqr`
1×	`rem-sqrt-square` `associate-r` `*-commutative`

Counts

4 → 71

Calls

4 calls:

2.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
67.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (* (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))) (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))))
4.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
4.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))
8.0ms	(* (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))) (* (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))) (sqrt (cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1)))))))))
24.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))
25.0ms	(cbrt (* (acos (/ (fma (* -5 v) v 1) (fma v v -1))) (sqrt (acos (/ (fma (* -5 v) v 1) (fma v v -1))))))

simplify1.4s

Counts

83 → 83

Iterations

Iter	Nodes
done	2000
6	2000
5	1531
4	737
3	425
2	239
1	120
0	68

prune471.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes25.0ms

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	20
1	20
0	15

end0.0ms

sample7.9s

Algorithm

intervals

Results

3.5s	3011×	body	2560	valid
1.9s	2492×	body	1280	valid
1.1s	1222×	body	640	valid
766.0ms	7822×	body	80	nan
248.0ms	586×	body	320	valid
114.0ms	458×	body	160	valid
30.0ms	231×	body	80	valid