Details

sample621.0ms

Algorithm

intervals

Results

368.0ms	278×	body	10240	exit
70.0ms	256×	body	80	valid
2.0ms	1×	body	5120	valid
1.0ms	1×	body	1280	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
9	2005
8	1838
7	851
6	398
5	196
4	112
3	72
2	39
1	19
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b

(sinh c)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `sinh-def` `*-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:

5.0ms

(sinh c)

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

(sinh c)

simplify1.3s

Counts

14 → 14

Iterations

Iter	Nodes
done	2017
6	2017
5	1904
4	565
3	262
2	131
1	65
0	33

prune81.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (* c (* c c)) 1/6 (fma 1/120 (pow c 5) c))
0.0b	(fma 1/120 (pow c 5) c)
0.1b	(* c (* c c))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `pow-prod-up`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`fma-udef`
1×	`pow2` `pow-plus` `cube-unmult` `associate-r` `pow-sqr` `*-commutative` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (* c (* c c)) 1/6 (fma 1/120 (pow c 5) c))
0.0ms	(fma 1/120 (pow c 5) c)
14.0ms	(* c (* c c))

series301.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(fma (* c (* c c)) 1/6 (fma 1/120 (pow c 5) c))
155.0ms	(fma 1/120 (pow c 5) c)
47.0ms	(* c (* c c))

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	2000
4	2000
3	1529
2	374
1	124
0	69

prune303.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sinh c)) (cbrt (sinh c)))
0.7b	(cbrt (sinh c))
0.7b	(cbrt (sinh c))
0.7b	(cbrt (sinh c))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `sinh-def`
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` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 91

Calls

4 calls:

19.0ms	(* (cbrt (sinh c)) (cbrt (sinh c)))
2.0ms	(cbrt (sinh c))
2.0ms	(cbrt (sinh c))
2.0ms	(cbrt (sinh c))

series1.0s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (sinh c)) (cbrt (sinh c)))
250.0ms	(cbrt (sinh c))
251.0ms	(cbrt (sinh c))
252.0ms	(cbrt (sinh c))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	2002
4	2002
3	1215
2	496
1	216
0	104

prune463.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh c)
0.0b	(* (sinh c) (sinh c))
0.1b	(* (* (sinh c) (sinh c)) (sinh c))
40.6b	(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
29×	`sinh-def`
12×	`add-sqr-sqrt`
11×	`frac-times` `add-cbrt-cube` `associate-*l/` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-div` `pow-plus` `associate-*r/` `pow-prod-up`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sinh c)
24.0ms	(* (sinh c) (sinh c))
49.0ms	(* (* (sinh c) (sinh c)) (sinh c))
32.0ms	(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(sinh c)
92.0ms	(* (sinh c) (sinh c))
152.0ms	(* (* (sinh c) (sinh c)) (sinh c))
110.0ms	(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

simplify1.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	2001
4	2001
3	1674
2	614
1	272
0	134

prune415.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample10.4s

Algorithm

intervals

Results

9.1s	7904×	body	10240	exit
1.1s	8003×	body	80	valid
17.0ms	11×	body	5120	valid
4.0ms	4×	body	2560	valid
3.0ms	4×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid