Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

276×

body

valid

simplify147.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	148
10	148
9	145
8	141
7	125
6	108
5	90
4	66
3	47
2	25
1	17
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.6b	(* (/ (- x y) (- z y)) t)

rewrite60.0ms

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×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 104

Calls

2 calls:

19.0ms	(/ (- x y) (- z y))
39.0ms	(* (/ (- x y) (- z y)) t)

series202.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ (- x y) (- z y))
127.0ms	(* (/ (- x y) (- z y)) t)

simplify2.3s

Counts

110 → 110

Iterations

Iter	Nodes
done	5007
3	3993
2	1089
1	374
0	145

prune461.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z y) (- x y))
0.3b	(/ 1 (/ (- z y) (- x y)))
2.6b	(* (/ 1 (/ (- z y) (- x y))) t)

rewrite109.0ms

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×	`associate-r` `cbrt-unprod` `insert-posit16` `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 → 329

Calls

3 calls:

26.0ms	(/ (- z y) (- x y))
28.0ms	(/ 1 (/ (- z y) (- x y)))
48.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

series497.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (- z y) (- x y))
186.0ms	(/ 1 (/ (- z y) (- x y)))
219.0ms	(* (/ 1 (/ (- z y) (- x y))) t)

simplify2.0s

Counts

338 → 338

Iterations

Iter	Nodes
done	5002
2	2569
1	1012
0	353

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (- x y))
2.8b	(/ t (/ (- z y) (- x y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 196

Calls

2 calls:

31.0ms	(/ (- z y) (- x y))
14.0ms	(/ t (/ (- z y) (- x y)))

series282.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(/ (- z y) (- x y))
202.0ms	(/ t (/ (- z y) (- x y)))

simplify1.9s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
2	2511
1	718
0	272

prune765.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(* (/ (cbrt (- x y)) (- z y)) t)
6.3b	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt` `add-exp-log`
58×	`*-un-lft-identity`
53×	`associate-l`
45×	`times-frac`
36×	`cbrt-prod`
35×	`add-cbrt-cube`
33×	`prod-exp`
28×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
15×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`cbrt-div` `associate-r` `pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`pow1/3` `associate-/r/` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 145

Calls

4 calls:

4.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
40.0ms	(* (/ (cbrt (- x y)) (- z y)) t)
95.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series1.7s

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt (- x y))
191.0ms	(cbrt (- x y))
1.1s	(* (/ (cbrt (- x y)) (- z y)) t)
132.0ms	(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify2.2s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	1742
1	598
0	234

prune635.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes234.0ms

Accuracy

3.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch83.0ms

Steps

Iters	Range		Point
9	5.4925571757886606e-55	1.3442590868873683e-46	6.790926987711054e-54
5	-2.883010294888317e-190	-1.1151788161897498e-190	-1.8586745194188488e-190

simplify4.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample793.0ms

Algorithm

intervals

Results

466.0ms

8755×

body

valid