Details

sample547.0ms

Algorithm

intervals

Results

411.0ms	278×	body	10240	exit
42.0ms	256×	body	80	valid
2.0ms	1×	body	5120	valid
1.0ms	1×	body	1280	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2550
9	2550
8	1439
7	714
6	360
5	192
4	110
3	70
2	39
1	19
0	7

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 1 expressions with local error:

0.0b

(sinh c)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `sinh-def` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

3.0ms

(sinh c)

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(sinh c)

simplify1.3s

Counts

12 → 12

Iterations

Iter	Nodes
done	2001
5	2001
4	702
3	257
2	130
1	60
0	31

prune60.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
23×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`pow2` `pow-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `flip3-+` `pow3` `pow-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

12.0ms	(+ c (* (* (* c c) c) 1/6))
16.0ms	(* (pow c 5) 1/120)
33.0ms	(* (* c c) c)
51.0ms	(* (* (* c c) c) 1/6)

series269.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ c (* (* (* c c) c) 1/6))
57.0ms	(* (pow c 5) 1/120)
38.0ms	(* (* c c) c)
58.0ms	(* (* (* c c) c) 1/6)

simplify985.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2000
3	2000
2	929
1	304
0	123

prune450.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize43.0ms

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))

rewrite19.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 83

Calls

4 calls:

11.0ms	(* (cbrt (sinh c)) (cbrt (sinh c)))
2.0ms	(cbrt (sinh c))
2.0ms	(cbrt (sinh c))
3.0ms	(cbrt (sinh c))

series977.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt (sinh c)) (cbrt (sinh c)))
221.0ms	(cbrt (sinh c))
221.0ms	(cbrt (sinh c))
237.0ms	(cbrt (sinh c))

simplify938.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
4	2001
3	1099
2	497
1	209
0	100

prune395.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)))

rewrite97.0ms

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×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 92

Calls

4 calls:

1.0ms	(sinh c)
12.0ms	(* (sinh c) (sinh c))
49.0ms	(* (* (sinh c) (sinh c)) (sinh c))
33.0ms	(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(sinh c)
112.0ms	(* (sinh c) (sinh c))
160.0ms	(* (* (sinh c) (sinh c)) (sinh c))
89.0ms	(cbrt (* (* (sinh c) (sinh c)) (sinh c)))

simplify1.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	2008
4	2008
3	1526
2	588
1	257
0	126

prune332.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample10.6s

Algorithm

intervals

Results

9.2s	7904×	body	10240	exit
1.1s	8003×	body	80	valid
18.0ms	11×	body	5120	valid
4.0ms	4×	body	2560	valid
3.0ms	4×	body	1280	valid
1.0ms	2×	body	160	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid