Details

sample29.0ms

Algorithm

intervals

Results

18.0ms

349×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	101
5	101
4	95
3	71
2	34
1	15
0	8

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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×	`flip3--` `associate-r` `*-commutative` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 23

Calls

1 calls:

28.0ms

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

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

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

simplify900.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	2001
3	1714
2	470
1	149
0	57

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite174.0ms

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×	`insert-posit16` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 113

Calls

4 calls:

3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
47.0ms	(* (cbrt (- x z)) (* t y))
120.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

series733.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (- x z))
152.0ms	(cbrt (- x z))
367.0ms	(* (cbrt (- x z)) (* t y))
52.0ms	(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))

simplify699.0ms

Counts

125 → 125

Iterations

Iter	Nodes
done	2002
2	1458
1	511
0	188

prune406.0ms

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)))

rewrite65.0ms

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×	`flip3--` `insert-posit16` `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 → 59

Calls

4 calls:

25.0ms	(* (- x z) (* t y))
14.0ms	(cbrt (* (- x z) (* t y)))
12.0ms	(cbrt (* (- x z) (* t y)))
13.0ms	(cbrt (* (- x z) (* t y)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- x z) (* t y))
177.0ms	(cbrt (* (- x z) (* t y)))
196.0ms	(cbrt (* (- x z) (* t y)))
170.0ms	(cbrt (* (- x z) (* t y)))

simplify564.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	2002
2	898
1	307
0	124

prune394.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `associate-l/` `-commutative` `insert-posit16` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

19.0ms	(* y (- x z))
34.0ms	(* (* y (- x z)) t)

series121.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* y (- x z))
61.0ms	(* (* y (- x z)) t)

simplify567.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	2001
2	605
1	209
0	83

prune234.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

59.5% (2.6b remaining)

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

bsearch86.0ms

Steps

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

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

896.0ms

10678×

body

valid