Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

257×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

23.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms	(* (/ 841.0 108.0) x)

simplify3.6s

Counts

50 → 50

Iterations

Useful iterations: 3 (898.0ms)

Iter	Nodes	Cost
0	97	463
1	241	443
2	693	403
3	2086	401
done	5000	401

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 142

Calls

3 calls:

77.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
57.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
128.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series627.0ms

Counts

3 → 9

Calls

3 calls:

263.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
115.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
248.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify2.0s

Counts

151 → 151

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	168	2216
1	471	2053
2	1822	1681
done	5000	1637

prune498.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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)))

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 159

Calls

4 calls:

106.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
30.0ms	(* (cbrt (/ 841.0 108.0)) x)
78.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
32.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series360.0ms

Counts

4 → 10

Calls

4 calls:

155.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
59.0ms	(* (cbrt (/ 841.0 108.0)) x)
145.0ms	(* (* (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)))

simplify2.3s

Counts

169 → 169

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	235	2594
1	482	2445
2	1535	2013
done	5000	1855

prune621.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (* (* (cbrt 841.0) (* (cbrt (/ 1 108.0)) (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) (* (cbrt (/ 1 108.0)) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

223.0ms

(+ (* (* (cbrt 841.0) (* (cbrt (/ 1 108.0)) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

17.0ms

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

203.0ms

(* (* (cbrt 841.0) (* (cbrt (/ 1 108.0)) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

series802.0ms

Counts

3 → 9

Calls

3 calls:

394.0ms

(+ (* (* (cbrt 841.0) (* (cbrt (/ 1 108.0)) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))

68.0ms

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

339.0ms

(* (* (cbrt 841.0) (* (cbrt (/ 1 108.0)) (cbrt (/ 841.0 108.0)))) (* (cbrt (/ 841.0 108.0)) x))

simplify1.7s

Counts

96 → 96

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	180	1879
1	454	1802
2	1598	1590
done	5001	1487

prune385.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	11	9
done	11	9

end0.0ms

sample532.0ms

Algorithm

intervals

Results

359.0ms	8006×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid