Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

284×

body

valid

simplify230.0ms

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: 3.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
3.0b	(* (/ (- x y) (- z y)) t)

rewrite106.0ms

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:

43.0ms	(/ (- x y) (- z y))
58.0ms	(* (/ (- x y) (- z y)) t)

series198.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(/ (- x y) (- z y))
121.0ms	(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts

114 → 114

Iterations

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

prune496.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.2b	(/ 1 (/ (- z y) (- x y)))
3.0b	(* (/ 1 (/ (- z y) (- x y))) t)

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 335

Calls

3 calls:

43.0ms	(/ (- z y) (- x y))
46.0ms	(/ 1 (/ (- z y) (- x y)))
116.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

series472.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- z y) (- x y))
194.0ms	(/ 1 (/ (- z y) (- x y)))
211.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

simplify2.3s

Counts

344 → 344

Iterations

Iter	Nodes
done	5000
2	2820
1	1021
0	359

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(* (* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t)) (cbrt t))
1.1b	(* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t))
1.5b	(/ (cbrt t) (/ (- z y) (- x y)))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

709×	`times-frac`
571×	`add-sqr-sqrt`
539×	`*-un-lft-identity`
279×	`add-cube-cbrt`
207×	`cbrt-prod`
192×	`associate-l`
130×	`distribute-lft-out--` `difference-of-squares`
32×	`add-exp-log`
31×	`associate-/r*`
28×	`associate-/r/`
16×	`add-cbrt-cube`
15×	`div-inv`
13×	`flip3--` `flip--`
12×	`associate-r`
11×	`pow1`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
9×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`*-commutative`
1×	`clear-num` `frac-2neg` `pow1/3`

Counts

4 → 510

Calls

4 calls:

2.0ms	(cbrt t)
216.0ms	(* (* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t)) (cbrt t))
108.0ms	(* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t))
50.0ms	(/ (cbrt t) (/ (- z y) (- x y)))

series2.1s

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt t)
270.0ms	(* (* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t)) (cbrt t))
847.0ms	(* (/ (cbrt t) (/ (- z y) (- x y))) (cbrt t))
717.0ms	(/ (cbrt t) (/ (- z y) (- x y)))

simplify1.7s

Counts

522 → 522

Iterations

Iter	Nodes
done	5001
1	1497
0	516

prune2.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
10.3b	(* (- x y) (/ t (- z y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 89

Calls

2 calls:

11.0ms	(/ t (- z y))
42.0ms	(* (- x y) (/ t (- z y)))

series144.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ t (- z y))
84.0ms	(* (- x y) (/ t (- z y)))

simplify1.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1214
1	327
0	136

prune302.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes402.0ms

Accuracy

52.6% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample889.0ms

Algorithm

intervals

Results

656.0ms

8714×

body

valid