Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
2	17
1	13
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)

rewrite33.0ms

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))
13.0ms	(* (/ 841.0 108.0) x)

series60.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms	(* (/ 841.0 108.0) x)

simplify2.8s

Counts

50 → 50

Iterations

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

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))

rewrite23.0ms

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:

11.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
11.0ms	(* 841.0 (/ x 108.0))

series69.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
20.0ms	(* 841.0 (/ x 108.0))

simplify2.3s

Counts

50 → 50

Iterations

Iter	Nodes
done	5006
3	3087
2	779
1	260
0	99

prune253.0ms

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	(+ (* (/ 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)))

rewrite78.0ms

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` `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 → 126

Calls

3 calls:

28.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
5.0ms	(/ x (sqrt 108.0))
40.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series367.0ms

Counts

3 → 9

Calls

3 calls:

186.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
61.0ms	(/ x (sqrt 108.0))
120.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify1.5s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	1794
1	521
0	185

prune460.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

13.0ms	(* (* 841.0 x) 29.0)
42.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series101.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* (* 841.0 x) 29.0)
76.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify2.9s

Counts

47 → 47

Iterations

Iter	Nodes
done	5686
3	4154
2	919
1	259
0	95

prune137.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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

sample492.0ms

Algorithm

intervals

Results

357.0ms

8016×

body

valid