Details

sample30.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	valid
0.0ms	1×	body	640	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

18.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
12.0ms	(* (/ 841.0 108.0) x)

series64.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
20.0ms	(* (/ 841.0 108.0) x)

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5004
3	3042
2	783
1	246
0	97

prune266.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.4b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`*-un-lft-identity` `add-cube-cbrt`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`associate-r` `associate-*l/` `add-exp-log`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `add-cbrt-cube` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
7×	`frac-add` `associate-*r/`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `+-commutative` `sum-log` `flip3-+` `pow-plus` `flip-+`

Counts

4 → 159

Calls

4 calls:

70.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
14.0ms	(* (cbrt (/ 841.0 108.0)) x)
64.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
29.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series290.0ms

Counts

4 → 10

Calls

4 calls:

118.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
58.0ms	(* (cbrt (/ 841.0 108.0)) x)
113.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify2.2s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
2	1562
1	516
0	235

prune986.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

0.1b

(* (cbrt (/ 841.0 108.0)) x)

0.4b

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

rewrite498.0ms

Algorithm

rewrite-expression-head

Rules

65×	`cbrt-div`
43×	`associate-*l/`
34×	`frac-times`
32×	`sqrt-div`
26×	`pow1` `add-exp-log`
22×	`associate-*r/`
20×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
17×	`associate-l`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `frac-add`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
5×	`add-log-exp`
4×	`associate-r`
3×	`unswap-sqr`
2×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `div-inv`

Counts

3 → 103

Calls

3 calls:

215.0ms

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

25.0ms

(* (cbrt (/ 841.0 108.0)) x)

248.0ms

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

series377.0ms

Counts

3 → 9

Calls

3 calls:

157.0ms

(+ (* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

75.0ms

(* (cbrt (/ 841.0 108.0)) x)

146.0ms

(* (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (cbrt (/ 841.0 108.0))) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

simplify1.8s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1978
1	603
0	218

prune531.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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	11
1	11
0	9

end0.0ms

sample808.0ms

Algorithm

intervals

Results

629.0ms	8010×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid