Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

265×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	49
4	49
3	47
2	38
1	26
0	15

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ y t) z) x)
3.2b	(* (/ y t) b)
5.0b	(* (/ y t) z)
10.8b	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
32×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-r` `add-log-exp`
4×	`associate-/r*` `prod-exp` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `associate-/l*`
2×	`pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg`

Counts

4 → 110

Calls

4 calls:

16.0ms	(+ (* (/ y t) z) x)
21.0ms	(* (/ y t) b)
14.0ms	(* (/ y t) z)
68.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* (/ y t) z) x)
26.0ms	(* (/ y t) b)
32.0ms	(* (/ y t) z)
646.0ms	(/ (+ (* (/ y t) z) x) (+ 1.0 (+ a (* (/ y t) b))))

simplify875.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	2182
1	460
0	182

prune779.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (+ a (+ (* b (/ y t)) 1.0)))
3.2b	(* b (/ y t))
5.0b	(* (/ y t) z)
10.8b	(* (+ (* (/ y t) z) x) (/ 1 (+ a (+ (* b (/ y t)) 1.0))))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
46×	`times-frac`
38×	`add-cube-cbrt`
34×	`associate-r`
27×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`associate-l`
11×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out` `unswap-sqr`
6×	`div-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-/r*` `flip3-+` `associate-/r/` `flip-+` `div-inv` `add-log-exp`
3×	`pow-prod-down` `associate-l/` `-commutative` `associate-/l*`
2×	`frac-times` `rec-exp` `1-exp` `associate-*r/`
1×	`clear-num` `frac-2neg` `un-div-inv` `pow-flip` `inv-pow`

Counts

4 → 146

Calls

4 calls:

51.0ms	(/ 1 (+ a (+ (* b (/ y t)) 1.0)))
17.0ms	(* b (/ y t))
13.0ms	(* (/ y t) z)
110.0ms	(* (+ (* (/ y t) z) x) (/ 1 (+ a (+ (* b (/ y t)) 1.0))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ 1 (+ a (+ (* b (/ y t)) 1.0)))
23.0ms	(* b (/ y t))
23.0ms	(* (/ y t) z)
571.0ms	(* (+ (* (/ y t) z) x) (/ 1 (+ a (+ (* b (/ y t)) 1.0))))

simplify3.7s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4698
1	633
0	229

prune910.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.3b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ z (/ t y)))
3.2b	(* b (/ y t))
6.0b	(/ z (/ t y))
10.8b	(/ (+ x (/ z (/ t y))) (+ 1.0 (+ (* b (/ y t)) a)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

101×	`times-frac`
86×	`*-un-lft-identity`
69×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
17×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
11×	`distribute-lft-out`
7×	`div-inv` `associate-/l*`
6×	`pow1` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`flip3-+` `associate-l` `associate-/r/` `flip-+`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 154

Calls

4 calls:

27.0ms	(+ x (/ z (/ t y)))
15.0ms	(* b (/ y t))
7.0ms	(/ z (/ t y))
113.0ms	(/ (+ x (/ z (/ t y))) (+ 1.0 (+ (* b (/ y t)) a)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ x (/ z (/ t y)))
25.0ms	(* b (/ y t))
24.0ms	(/ z (/ t y))
141.0ms	(/ (+ x (/ z (/ t y))) (+ 1.0 (+ (* b (/ y t)) a)))

simplify961.0ms

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	3299
1	733
0	280

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
3.2b	(* b (/ y t))
5.4b	(/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))
10.8b	(/ (+ x (/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))) (+ 1.0 (+ (* b (/ y t)) a)))

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

11004×	`times-frac`
4653×	`*-un-lft-identity`
4638×	`add-sqr-sqrt`
4633×	`add-cube-cbrt`
3996×	`cbrt-prod`
301×	`div-inv`
140×	`associate-/l*`
32×	`add-exp-log`
26×	`associate-/r*`
23×	`add-cbrt-cube`
17×	`cbrt-undiv` `div-exp`
13×	`associate-r`
10×	`distribute-lft-out`
6×	`pow1`
4×	`add-log-exp`
3×	`associate-l` `associate-/r/` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`pow1/3` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 3257

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* b (/ y t))
147.0ms	(/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))
3.1s	(/ (+ x (/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))) (+ 1.0 (+ (* b (/ y t)) a)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

301.0ms	(cbrt t)
25.0ms	(* b (/ y t))
68.0ms	(/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))
204.0ms	(/ (+ x (/ (/ (/ z (cbrt t)) (cbrt t)) (/ (cbrt t) y))) (+ 1.0 (+ (* b (/ y t)) a)))

simplify2.5s

Counts

3269 → 3269

Iterations

Iter	Nodes
done	5000
0	4436

prune31.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.3b

regimes1.2s

Accuracy

23.7% (2.2b remaining)

Error of 14.4b against oracle of 12.2b and baseline of 15.0b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	59
2	59
1	58
0	38

end0.0ms

sample1.4s

Algorithm

intervals

Results

689.0ms

8287×

body

valid