Details

sample45.0ms

Algorithm

intervals

Results

27.0ms

283×

body

valid

simplify222.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	169
10	169
9	166
8	162
7	146
6	120
5	98
4	72
3	47
2	25
1	17
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.5b	(* (/ (- x y) (- z y)) t)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 108

Calls

2 calls:

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

series193.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- x y) (- z y))
125.0ms	(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	3867
2	1093
1	383
0	149

prune343.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
1.5b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`associate-r` `add-cube-cbrt`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 128

Calls

3 calls:

11.0ms	(/ 1 (- z y))
36.0ms	(* (- x y) (/ 1 (- z y)))
73.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series200.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- z y))
55.0ms	(* (- x y) (/ 1 (- z y)))
106.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify1.5s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	1440
1	425
0	170

prune568.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`associate-r`
26×	`times-frac`
18×	`add-cube-cbrt`
16×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-prod` `pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `unswap-sqr`
1×	`flip3--` `associate-l` `associate-r/` `-commutative` `div-inv` `flip--`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
51.0ms	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt t)
307.0ms	(cbrt t)
285.0ms	(cbrt t)
296.0ms	(* (* (cbrt t) (cbrt t)) (/ (- x y) (- z y)))

simplify3.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
3	4975
2	1257
1	393
0	133

prune455.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
5.3b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
31×	`add-cbrt-cube` `prod-exp`
18×	`cbrt-unprod`
17×	`div-exp`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `cbrt-undiv` `add-cube-cbrt`
7×	`associate-l`
6×	`cbrt-div` `1-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `flip3--` `pow1/3` `pow-prod-down` `associate-*l/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r` `associate-r/` `-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

3.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
79.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series718.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (- x y))
187.0ms	(cbrt (- x y))
198.0ms	(cbrt (- x y))
160.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify1.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
2	1590
1	466
0	169

prune500.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes371.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

719.0ms

8744×

body

valid