Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

341×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

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:

16.0ms	(/ (- 1.0 x) y)
26.0ms	(/ (- 3.0 x) 3.0)
88.0ms	(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- 1.0 x) y)
47.0ms	(/ (- 3.0 x) 3.0)
53.0ms	(* (/ (- 3.0 x) 3.0) (/ (- 1.0 x) y))

simplify1.5s

Counts

153 → 153

Iterations

Iter	Nodes
done	5000
2	3099
1	590
0	208

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize19.0ms

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	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))
0.2b	(/ x (/ y x))

rewrite19.0ms

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)))
0.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))
14.0ms	(/ x (/ y x))

series207.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma (- 1.3333333333333333) (/ x y) (fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y)))
84.0ms	(fma (/ x (/ y x)) 0.3333333333333333 (/ 1.0 y))
26.0ms	(/ x (/ y x))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2363
1	425
0	178

prune596.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.3b	(/ (/ (- 1.0 x) y) 3.0)
0.3b	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 228

Calls

3 calls:

25.0ms	(/ (- 1.0 x) y)
33.0ms	(/ (/ (- 1.0 x) y) 3.0)
91.0ms	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

series199.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(/ (- 1.0 x) y)
66.0ms	(/ (/ (- 1.0 x) y) 3.0)
72.0ms	(* (- 3.0 x) (/ (/ (- 1.0 x) y) 3.0))

simplify601.0ms

Counts

237 → 237

Iterations

Iter	Nodes
done	5000
1	869
0	316

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ y x)) (cbrt (/ y x)))
11.8b	(cbrt (/ y x))
11.8b	(cbrt (/ y x))
11.8b	(cbrt (/ y x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

30.0ms	(* (cbrt (/ y x)) (cbrt (/ y x)))
5.0ms	(cbrt (/ y x))
5.0ms	(cbrt (/ y x))
4.0ms	(cbrt (/ y x))

series410.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (/ y x)) (cbrt (/ y x)))
95.0ms	(cbrt (/ y x))
115.0ms	(cbrt (/ y x))
79.0ms	(cbrt (/ y x))

simplify1.2s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

994.0ms

10749×

body

valid