Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)

rewrite28.0ms

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` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

10.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms	(* (/ 841.0 108.0) x)

series432.0ms

Counts

2 → 6

Calls

2 calls:

412.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
20.0ms	(* (/ 841.0 108.0) x)

simplify2.5s

Counts

52 → 52

Iterations

Iter	Nodes
done	5008
3	3065
2	796
1	248
0	99

prune222.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

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))

rewrite40.0ms

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` `insert-posit16` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 46

Calls

2 calls:

18.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
21.0ms	(* 841.0 (/ x 108.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5005
3	3017
2	784
1	262
0	101

prune186.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
0.0b	(* (/ 841.0 (sqrt 108.0)) x)
0.3b	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
44×	`associate-l`
38×	`add-sqr-sqrt` `times-frac`
30×	`*-un-lft-identity` `add-cube-cbrt`
29×	`add-cbrt-cube`
22×	`prod-exp`
19×	`sqrt-prod`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
7×	`associate-*l/`
6×	`cbrt-undiv`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`rec-exp` `1-exp` `frac-add` `insert-posit16` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 113

Calls

3 calls:

29.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
13.0ms	(* (/ 841.0 (sqrt 108.0)) x)
62.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

series493.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
110.0ms	(* (/ 841.0 (sqrt 108.0)) x)
159.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

simplify1.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1513
1	502
0	188

prune386.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
66×	`times-frac`
44×	`*-un-lft-identity` `add-cube-cbrt`
36×	`sqrt-prod`
22×	`associate-r` `associate-l`
17×	`add-cbrt-cube` `add-exp-log`
9×	`unswap-sqr`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`frac-add` `insert-posit16` `div-inv` `associate-/l*`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 129

Calls

3 calls:

26.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
9.0ms	(/ x (sqrt 108.0))
24.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
95.0ms	(/ x (sqrt 108.0))
149.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify1.7s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1794
1	524
0	188

prune489.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample511.0ms

Algorithm

intervals

Results

407.0ms	8004×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid