Details

sample62.0ms

Algorithm

intervals

Results

28.0ms

481×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	60
4	60
3	58
2	44
1	24
0	11

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.9b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (/ z t) (/ t z))
2.7b	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
9.5b	(/ x (* y y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

424×	`times-frac`
201×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
30×	`div-inv`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
14×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`prod-exp` `associate-/r/` `cbrt-unprod` `fma-udef` `associate-/l/`

Counts

3 → 250

Calls

3 calls:

22.0ms	(/ (/ z t) (/ t z))
0.0ms	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
7.0ms	(/ x (* y y))

series314.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (/ z t) (/ t z))
214.0ms	(fma x (/ x (* y y)) (/ (/ z t) (/ t z)))
54.0ms	(/ x (* y y))

simplify1.5s

Counts

259 → 259

Iterations

Iter	Nodes
done	5000
1	1611
0	477

prune2.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (/ x y) (/ x y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`*-un-lft-identity` `add-cube-cbrt`
27×	`add-cbrt-cube` `add-exp-log`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

3 → 161

Calls

3 calls:

13.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
32.0ms	(* (/ z t) (/ z t))
27.0ms	(* (/ x y) (/ x y))

series229.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
39.0ms	(* (/ z t) (/ z t))
39.0ms	(* (/ x y) (/ x y))

simplify563.0ms

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
1	939
0	261

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
9.6b	(cbrt (/ x y))
9.6b	(cbrt (/ x y))
9.6b	(cbrt (/ x y))

rewrite45.0ms

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:

22.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
4.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
10.0ms	(cbrt (/ x y))

series500.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
107.0ms	(cbrt (/ x y))
105.0ms	(cbrt (/ x y))
116.0ms	(cbrt (/ x y))

simplify1.3s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt x) (cbrt x)))
3.2b	(cbrt (/ (cbrt x) y))
9.6b	(cbrt (/ x y))
9.6b	(cbrt (/ x y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
36×	`times-frac`
31×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `div-inv`

Counts

4 → 92

Calls

4 calls:

9.0ms	(cbrt (* (cbrt x) (cbrt x)))
5.0ms	(cbrt (/ (cbrt x) y))
4.0ms	(cbrt (/ x y))
5.0ms	(cbrt (/ x y))

series975.0ms

Counts

4 → 12

Calls

4 calls:

443.0ms	(cbrt (* (cbrt x) (cbrt x)))
324.0ms	(cbrt (/ (cbrt x) y))
107.0ms	(cbrt (/ x y))
101.0ms	(cbrt (/ x y))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
3	2289
2	642
1	277
0	172

prune991.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s

15441×

body

valid