Details

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
2	16	9
3	18	9
4	20	9
5	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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)

rewrite16.0ms

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:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms	(* (/ 841.0 108.0) x)

series53.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

simplify2.2s

Counts

50 → 50

Iterations

Useful iterations: 3 (538.0ms)

Iter	Nodes	Cost
0	97	463
1	242	443
2	692	403
3	2169	401
done	5001	401

prune95.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `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:

7.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms	(* 841.0 (/ x 108.0))

series51.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms	(* 841.0 (/ x 108.0))

simplify1.8s

Counts

50 → 50

Iterations

Useful iterations: 3 (343.0ms)

Iter	Nodes	Cost
0	99	479
1	255	447
2	682	409
3	2054	407
done	5001	407

prune89.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

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))
0.2b	(* (cbrt (/ 841.0 108.0)) x)
0.5b	(* (* (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)))

rewrite99.0ms

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:

32.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
9.0ms	(* (cbrt (/ 841.0 108.0)) x)
32.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
17.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series244.0ms

Counts

4 → 10

Calls

4 calls:

103.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
44.0ms	(* (cbrt (/ 841.0 108.0)) x)
96.0ms	(* (* (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)))

simplify846.0ms

Counts

169 → 169

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	235	2594
1	485	2449
2	1485	2013
done	5000	2013

prune381.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* 841.0 x) 29.0)
0.6b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `flip3-+` `associate-l` `clear-num` `associate-/r` `-commutative` `flip-+` `div-inv`

Counts

2 → 41

Calls

2 calls:

6.0ms	(* (* 841.0 x) 29.0)
20.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series69.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 841.0 x) 29.0)
52.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify2.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	95	622
1	258	610
2	1015	502
3	4330	500
done	5000	500

prune73.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample251.0ms

Algorithm

intervals

Results

165.0ms	8004×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid