Details

sample42.0ms

Algorithm

intervals

Results

23.0ms

266×

body

valid

simplify1.6s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.0b	(* z (- t a))
0.9b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`associate-+r+` `associate-*r/`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 98

Calls

4 calls:

32.0ms	(* z (- b y))
32.0ms	(* z (- t a))
23.0ms	(+ (* x y) (* z (- t a)))
51.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* z (- b y))
51.0ms	(* z (- t a))
72.0ms	(+ (* x y) (* z (- t a)))
475.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify705.0ms

Counts: 110 → 110

prune365.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* z (- t a)))
23.0b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
22×	`add-cube-cbrt`
20×	`times-frac` `associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
6×	`associate-l` `add-log-exp`
5×	`flip3-+` `prod-exp` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `div-exp` `associate-/r/` `unswap-sqr`
3×	`associate-r/` `associate-/r` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `flip3--` `pow-flip` `frac-2neg` `clear-num` `sum-log` `un-div-inv` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

22.0ms	(* z (- t a))
10.0ms	(/ 1 (+ y (* z (- b y))))
9.0ms	(+ (* x y) (* z (- t a)))
45.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series572.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* z (- t a))
90.0ms	(/ 1 (+ y (* z (- b y))))
53.0ms	(+ (* x y) (* z (- t a)))
379.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify938.0ms

Counts: 128 → 128

prune354.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-r`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in`
3×	`associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3--` `pow-flip` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 156

Calls

4 calls:

20.0ms	(* z (- t a))
22.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
10.0ms	(+ (* x y) (* z (- t a)))
44.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts

4 → 12

Calls

4 calls:

53.0ms	(* z (- t a))
1.2s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
48.0ms	(+ (* x y) (* z (- t a)))
302.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.1s

Counts: 168 → 168

prune491.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 23.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
0.4b	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
0.9b	(+ (* x y) (* z (- t a)))
22.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

528×	`times-frac`
255×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-/r*`
60×	`add-exp-log`
43×	`div-exp`
40×	`associate-/r/`
23×	`div-inv`
20×	`add-cbrt-cube`
19×	`flip3-+` `flip-+`
15×	`rec-exp` `1-exp`
10×	`cbrt-undiv`
9×	`associate-/l*`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-flip`
4×	`associate-+r+`
3×	`frac-2neg` `clear-num` `inv-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/l/`
1×	`+-commutative` `sum-log` `remove-double-div`

Counts

4 → 373

Calls

4 calls:

23.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
37.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
19.0ms	(+ (* x y) (* z (- t a)))
33.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y)))))
471.0ms	(/ 1 (/ 1 (/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))))
71.0ms	(+ (* x y) (* z (- t a)))
420.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify789.0ms

Counts: 385 → 385

prune1.3s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 23.1b

regimes533.0ms

Accuracy

15% (0.6b remaining)

Error of 23.1b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify1.5s

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s

8410×

body

valid