Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	17
1	13
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

22.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

series77.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
26.0ms	(* (/ 841.0 108.0) x)

simplify949.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1056
1	246
0	97

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `associate-*r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

12.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
12.0ms	(* 841.0 (/ x 108.0))

series87.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
21.0ms	(* 841.0 (/ x 108.0))

simplify1.0s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	954
1	267
0	99

prune235.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 82

Calls

3 calls:

37.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
15.0ms	(* (sqrt (/ 841.0 108.0)) x)
63.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series296.0ms

Counts

3 → 9

Calls

3 calls:

147.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
50.0ms	(* (sqrt (/ 841.0 108.0)) x)
98.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1183
1	329
0	138

prune456.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt (/ 841.0 108.0)) (* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x)))
0.3b	(* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x))
0.4b	(* (cbrt (sqrt (/ 841.0 108.0))) x)
1.0b	(* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0))))

rewrite411.0ms

Algorithm

rewrite-expression-head

Rules

111×	`cbrt-prod` `add-sqr-sqrt`
98×	`sqrt-prod`
63×	`times-frac`
58×	`*-un-lft-identity` `add-cube-cbrt`
55×	`associate-l`
49×	`sqrt-div`
43×	`pow1`
41×	`cbrt-div`
38×	`add-exp-log`
30×	`associate-*l/`
24×	`associate-r` `pow-prod-down`
23×	`frac-times` `add-cbrt-cube` `prod-exp` `cbrt-unprod`
21×	`swap-sqr`
20×	`unswap-sqr`
17×	`associate-*r/`
6×	`pow1/3` `div-inv`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 218

Calls

4 calls:

226.0ms	(* (sqrt (/ 841.0 108.0)) (* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x)))
101.0ms	(* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x))
16.0ms	(* (cbrt (sqrt (/ 841.0 108.0))) x)
46.0ms	(* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0))))

series542.0ms

Counts

4 → 10

Calls

4 calls:

98.0ms	(* (sqrt (/ 841.0 108.0)) (* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x)))
64.0ms	(* (* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0)))) (* (cbrt (sqrt (/ 841.0 108.0))) x))
380.0ms	(* (cbrt (sqrt (/ 841.0 108.0))) x)
0.0ms	(* (cbrt (sqrt (/ 841.0 108.0))) (cbrt (sqrt (/ 841.0 108.0))))

simplify2.7s

Counts

228 → 228

Iterations

Iter	Nodes
done	5002
2	3174
1	625
0	281

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample540.0ms

Algorithm

intervals

Results

392.0ms	8011×	body	80	valid
0.0ms	1×	body	1280	valid