Details

sample81.0ms

Algorithm

intervals

Results

37.0ms

499×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
40×	`times-frac`
30×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `fma-udef`

Counts

2 → 79

Calls

2 calls:

1.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
23.0ms	(* (/ z t) (/ z t))

series214.0ms

Counts

2 → 6

Calls

2 calls:

179.0ms	(fma (/ x y) (/ x y) (* (/ z t) (/ z t)))
35.0ms	(* (/ z t) (/ z t))

simplify2.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2893
1	425
0	129

prune608.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ z t)) (cbrt (/ z t)))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite47.0ms

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:

24.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
3.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))

series383.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
87.0ms	(cbrt (/ z t))
95.0ms	(cbrt (/ z t))
81.0ms	(cbrt (/ z t))

simplify2.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	5001
2	1230
1	290
0	165

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ z t) (cbrt (* (/ z t) (/ z t))))
0.3b	(* (/ z t) (/ z t))
10.5b	(cbrt (/ z t))
21.8b	(cbrt (* (/ z t) (/ z t)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt`
60×	`times-frac`
47×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-l`
21×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`cbrt-prod` `associate-r`
13×	`pow1` `swap-sqr`
10×	`cbrt-div`
8×	`unswap-sqr`
7×	`frac-times` `associate-*r/`
6×	`prod-exp` `cbrt-unprod` `div-inv`
5×	`cbrt-undiv` `div-exp` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `pow-prod-down` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 150

Calls

4 calls:

26.0ms	(* (/ z t) (cbrt (* (/ z t) (/ z t))))
37.0ms	(* (/ z t) (/ z t))
11.0ms	(cbrt (/ z t))
13.0ms	(cbrt (* (/ z t) (/ z t)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (/ z t) (cbrt (* (/ z t) (/ z t))))
55.0ms	(* (/ z t) (/ z t))
114.0ms	(cbrt (/ z t))
153.0ms	(cbrt (* (/ z t) (/ z t)))

simplify2.5s

Counts

162 → 162

Iterations

Iter	Nodes
done	5001
2	3995
1	667
0	240

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize105.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
2.0b	(cbrt (/ z (cbrt t)))
21.8b	(cbrt (* (/ z t) (/ z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
21×	`times-frac`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
2×	`div-inv`
1×	`frac-times` `associate-l/` `associate-r/`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ z (cbrt t)))
8.0ms	(cbrt (* (/ z t) (/ z t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt t)
398.0ms	(cbrt (/ 1 (* (cbrt t) (cbrt t))))
253.0ms	(cbrt (/ z (cbrt t)))
141.0ms	(cbrt (* (/ z t) (/ z t)))

simplify1.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
3	2864
2	768
1	311
0	189

prune729.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.1b

regimes1.5s

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
0	8

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

15613×

body

valid