Details

sample49.0ms

Algorithm

intervals

Results

19.0ms

332×

body

valid

simplify770.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1395
5	376
4	161
3	69
2	32
1	16
0	9

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- t z)))
6.8b	(* (/ y a) (- t z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-log-exp`
2×	`frac-times` `flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

11.0ms	(+ x (* (/ y a) (- t z)))
33.0ms	(* (/ y a) (- t z))

series165.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ x (* (/ y a) (- t z)))
102.0ms	(* (/ y a) (- t z))

simplify722.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1454
1	329
0	123

prune655.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (/ t (/ a y))) (* (/ y a) (- z)))
0.0b	(+ x (/ t (/ a y)))
4.0b	(/ t (/ a y))
4.3b	(* (/ y a) (- z))

rewrite258.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
61×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-l*`
11×	`add-log-exp`
10×	`associate-r`
6×	`pow1` `div-inv`
4×	`cbrt-undiv` `sum-log` `div-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `associate-l/` `distribute-rgt-neg-out` `flip-+` `associate-/l`
2×	`+-commutative` `frac-add` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`associate-+l+` `clear-num` `neg-mul-1` `frac-2neg` `unsub-neg` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out`

Counts

4 → 139

Calls

4 calls:

179.0ms	(+ (+ x (/ t (/ a y))) (* (/ y a) (- z)))
19.0ms	(+ x (/ t (/ a y)))
14.0ms	(/ t (/ a y))
37.0ms	(* (/ y a) (- z))

series197.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (+ x (/ t (/ a y))) (* (/ y a) (- z)))
55.0ms	(+ x (/ t (/ a y)))
24.0ms	(/ t (/ a y))
41.0ms	(* (/ y a) (- z))

simplify1.2s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	3537
1	751
0	270

prune966.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.3b	(* (/ y a) (- z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
10×	`times-frac` `associate-r`
9×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `neg-mul-1` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `distribute-rgt-neg-out` `div-inv`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
16.0ms	(* (/ y a) (- z))

series932.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(cbrt t)
292.0ms	(cbrt t)
297.0ms	(cbrt t)
49.0ms	(* (/ y a) (- z))

simplify877.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	1277
1	282
0	106

prune753.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.3b	(/ z (/ a y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
49×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
9×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `associate-/l*`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
7.0ms	(/ z (/ a y))

series825.0ms

Counts

4 → 12

Calls

4 calls:

281.0ms	(cbrt t)
274.0ms	(cbrt t)
245.0ms	(cbrt t)
24.0ms	(/ z (/ a y))

simplify924.0ms

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	1753
1	415
0	173

prune832.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes445.0ms

Accuracy

23% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.5b

bsearch114.0ms

Steps

Iters	Range		Point
9	1.1746173222710263e-158	5.242565877521012e-150	4.721761730699554e-150
7	-4.222632617554444e-54	-4.51144559440254e-56	-3.890678747235435e-54

simplify3.0ms

Iterations

Iter	Nodes
done	36
1	36
0	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

619.0ms

10719×

body

valid