Details

sample48.0ms

Algorithm

intervals

Results

20.0ms

265×

body

valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y z) t))
3.2b	(/ (* y b) t)
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
26×	`times-frac`
22×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `sum-log`

Counts

4 → 101

Calls

4 calls:

9.0ms	(+ x (/ (* y z) t))
15.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
93.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ x (/ (* y z) t))
27.0ms	(/ (* y b) t)
27.0ms	(/ (* y z) t)
136.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify51.0ms

Counts: 113 → 113

prune341.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ 1 (/ t (* y b)))
3.1b	(/ t (* y b))
4.9b	(/ (* y z) t)
10.5b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
67×	`times-frac`
38×	`distribute-lft-out`
37×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt`
25×	`add-cbrt-cube`
18×	`associate-/r*` `div-inv`
17×	`div-exp`
11×	`associate-/l*`
10×	`cbrt-undiv`
5×	`pow1` `prod-exp` `associate-/r/`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
2×	`frac-add` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 155

Calls

4 calls:

23.0ms	(/ 1 (/ t (* y b)))
11.0ms	(/ t (* y b))
10.0ms	(/ (* y z) t)
119.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (/ t (* y b)))
22.0ms	(/ t (* y b))
20.0ms	(/ (* y z) t)
127.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ 1 (/ t (* y b)))))

simplify57.0ms

Counts: 167 → 167

prune417.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y z) (/ 1 t)))
3.2b	(/ (* y b) t)
5.0b	(* (* y z) (/ 1 t))
10.5b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
13×	`associate-r` `prod-exp`
12×	`distribute-lft-out`
9×	`pow1`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`pow-prod-down` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `frac-add` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative`

Counts

4 → 111

Calls

4 calls:

9.0ms	(+ x (* (* y z) (/ 1 t)))
12.0ms	(/ (* y b) t)
35.0ms	(* (* y z) (/ 1 t))
70.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series212.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ x (* (* y z) (/ 1 t)))
21.0ms	(/ (* y b) t)
20.0ms	(* (* y z) (/ 1 t))
139.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify57.0ms

Counts: 123 → 123

prune311.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
3.2b	(/ (* y b) t)
4.9b	(/ (* y z) t)
10.5b	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
184×	`times-frac`
89×	`distribute-lft-out`
86×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`associate-/r*`
27×	`add-exp-log`
21×	`add-cbrt-cube`
12×	`div-exp`
11×	`associate-/r/`
10×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
7×	`flip3-+` `flip-+`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp` `frac-add` `prod-exp` `cbrt-unprod`
1×	`pow-flip` `inv-pow`

Counts

4 → 217

Calls

4 calls:

100.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
11.0ms	(/ (* y b) t)
10.0ms	(/ (* y z) t)
103.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

460.0ms	(/ 1 (/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t))))
29.0ms	(/ (* y b) t)
30.0ms	(/ (* y z) t)
100.0ms	(/ (+ (+ a 1.0) (/ (* y b) t)) (+ x (/ (* y z) t)))

simplify89.0ms

Counts: 229 → 229

prune618.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.5b

regimes819.0ms

Accuracy

-11.5% (6.2b remaining)

Error of 17.1b against oracle of 10.9b and baseline of 16.5b

bsearch83.0ms

Steps

Iters	Range		Point
9	-3.881007112409394e+127	-4.973876092969624e+118	-1.303222534554686e+122

simplify24.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

770.0ms

8274×

body

valid