Details

sample42.0ms

Algorithm

intervals

Results

20.0ms

349×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1773
4	518
3	179
2	65
1	21
0	9

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 144

Calls

3 calls:

15.0ms	(/ (- 3.0 x) 3.0)
23.0ms	(/ (- 1.0 x) y)
53.0ms	(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

series197.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- 3.0 x) 3.0)
75.0ms	(/ (- 1.0 x) y)
68.0ms	(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

simplify1.6s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	3098
1	590
0	208

prune677.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (/ (- 3.0 x) 3.0) (* (- 1.0 x) (/ 1 y)))
0.1b	(* (- 1.0 x) (/ 1 y))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`add-exp-log`
47×	`*-un-lft-identity`
41×	`times-frac`
31×	`add-cbrt-cube`
30×	`add-cube-cbrt`
24×	`associate-l`
22×	`prod-exp`
14×	`associate-r`
12×	`frac-times` `div-exp` `cbrt-unprod`
10×	`pow1`
9×	`associate-*r/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `flip3--` `associate-*l/` `flip--`
5×	`associate-/l*`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `rec-exp` `associate-/r*` `1-exp` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
2×	`*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub`

Counts

3 → 145

Calls

3 calls:

14.0ms	(/ (- 3.0 x) 3.0)
85.0ms	(* (/ (- 3.0 x) 3.0) (* (- 1.0 x) (/ 1 y)))
46.0ms	(* (- 1.0 x) (/ 1 y))

series201.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- 3.0 x) 3.0)
81.0ms	(* (/ (- 3.0 x) 3.0) (* (- 1.0 x) (/ 1 y)))
67.0ms	(* (- 1.0 x) (/ 1 y))

simplify4.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	4786
1	687
0	235

prune614.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (- 3.0 x) (cbrt 3.0)))
0.1b	(/ (- 3.0 x) (cbrt 3.0))
0.1b	(* (- 1.0 x) (/ 1 y))
1.0b	(/ 1 (cbrt 3.0))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

407×	`times-frac`
356×	`add-sqr-sqrt`
227×	`*-un-lft-identity`
204×	`cbrt-prod`
186×	`add-cube-cbrt`
141×	`associate-l`
54×	`add-exp-log`
47×	`associate-r`
39×	`unswap-sqr`
23×	`add-cbrt-cube`
22×	`div-exp`
14×	`prod-exp` `div-inv` `distribute-lft-out--` `difference-of-squares`
12×	`cbrt-undiv` `associate-/r*`
9×	`pow1`
8×	`cbrt-unprod` `associate-/l*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `flip3--` `associate-*l/` `flip--`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `pow-flip` `associate-/l/`
1×	`pow1/3` `div-sub` `un-div-inv` `inv-pow`

Counts

4 → 384

Calls

4 calls:

151.0ms	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (- 3.0 x) (cbrt 3.0)))
15.0ms	(/ (- 3.0 x) (cbrt 3.0))
50.0ms	(* (- 1.0 x) (/ 1 y))
10.0ms	(/ 1 (cbrt 3.0))

series375.0ms

Counts

4 → 10

Calls

4 calls:

176.0ms	(* (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)) (/ (- 3.0 x) (cbrt 3.0)))
146.0ms	(/ (- 3.0 x) (cbrt 3.0))
53.0ms	(* (- 1.0 x) (/ 1 y))
0.0ms	(/ 1 (cbrt 3.0))

simplify775.0ms

Counts

394 → 394

Iterations

Iter	Nodes
done	5001
1	1421
0	445

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- 1.3333333333333333) (/ x y) (fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y)))
0.1b	(/ x (/ y x))
0.3b	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
45×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`fma-udef`
1×	`clear-num` `frac-2neg` `associate-/r/`

Counts

3 → 92

Calls

3 calls:

0.0ms	(fma (- 1.3333333333333333) (/ x y) (fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y)))
9.0ms	(/ x (/ y x))
1.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))

series224.0ms

Counts

3 → 9

Calls

3 calls:

113.0ms	(fma (- 1.3333333333333333) (/ x y) (fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y)))
40.0ms	(/ x (/ y x))
70.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2292
1	422
0	178

prune630.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

695.0ms

10730×

body

valid