Details

sample39.0ms

Algorithm

intervals

Results

24.0ms

349×

body

valid

simplify120.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	131
6	131
5	129
4	117
3	78
2	36
1	16
0	8

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

5.1b	(* (- x z) (* t y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/` `add-cube-cbrt`
1×	`expm1-log1p-u` `flip3--` `associate-r` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 25

Calls

1 calls:

43.0ms

(* (- x z) (* t y))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (- x z) (* t y))

simplify670.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2000
3	1843
2	481
1	153
0	59

prune110.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x z))
0.5b	(cbrt (- x z))
2.1b	(* (cbrt (- x z)) (* t y))
3.3b	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`pow1` `flip3--` `add-exp-log` `flip--`
28×	`frac-times`
18×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-l`
8×	`associate-*r/` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 121

Calls

4 calls:

4.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
35.0ms	(* (cbrt (- x z)) (* t y))
120.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series837.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (- x z))
202.0ms	(cbrt (- x z))
380.0ms	(* (cbrt (- x z)) (* t y))
64.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify867.0ms

Counts

133 → 133

Iterations

Iter	Nodes
done	2002
2	1490
1	525
0	194

prune452.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (- x z) (* t y))
8.5b	(cbrt (* (- x z) (* t y)))
8.5b	(cbrt (* (- x z) (* t y)))
8.5b	(cbrt (* (- x z) (* t y)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-*l/`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`associate-l` `add-cube-cbrt`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 67

Calls

4 calls:

34.0ms	(* (- x z) (* t y))
13.0ms	(cbrt (* (- x z) (* t y)))
17.0ms	(cbrt (* (- x z) (* t y)))
20.0ms	(cbrt (* (- x z) (* t y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- x z) (* t y))
181.0ms	(cbrt (* (- x z) (* t y)))
144.0ms	(cbrt (* (- x z) (* t y)))
179.0ms	(cbrt (* (- x z) (* t y)))

simplify548.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	2000
2	925
1	316
0	128

prune409.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- x z))
6.8b	(* t (* y (- x z)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`sub-neg` `associate-r` `associate-l` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 114

Calls

2 calls:

24.0ms	(* y (- x z))
37.0ms	(* t (* y (- x z)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- x z))
65.0ms	(* t (* y (- x z)))

simplify593.0ms

Counts

120 → 120

Iterations

Iter	Nodes
done	2001
2	1029
1	464
0	188

prune197.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes333.0ms

Accuracy

59.5% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 6.5b

bsearch95.0ms

Steps

Iters	Range		Point
6	1.9536824018130168e+29	1.5143674081624392e+30	2.5769670296034863e+29
8	-3.197068583317346e+33	-2.424092427814223e+29	-1.6807852889324577e+33

simplify5.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

806.0ms

10678×

body

valid