Details

sample54.0ms

Algorithm

intervals

Results

25.0ms

269×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
10	1775
9	710
8	365
7	203
6	134
5	114
4	95
3	65
2	37
1	23
0	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(+ y (* z (- b y)))
1.7b	(+ (* x y) (* z (- t a)))
25.3b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

16.0ms	(* z (- t a))
5.0ms	(+ y (* z (- b y)))
7.0ms	(+ (* x y) (* z (- t a)))
38.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series559.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (- t a))
56.0ms	(+ y (* z (- b y)))
60.0ms	(+ (* x y) (* z (- t a)))
380.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5004
2	1216
1	372
0	148

prune621.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.3b	(/ 1 (+ y (* z (- b y))))
1.7b	(+ (* x y) (* z (- t a)))
25.1b	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
17×	`add-exp-log`
15×	`associate-r`
11×	`add-cbrt-cube`
8×	`associate-+r+` `add-log-exp`
7×	`pow1`
6×	`flip3-+` `flip-+`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/`
3×	`associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 105

Calls

4 calls:

5.0ms	(+ y (* z (- b y)))
8.0ms	(/ 1 (+ y (* z (- b y))))
8.0ms	(+ (* x y) (* z (- t a)))
61.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ y (* z (- b y)))
104.0ms	(/ 1 (+ y (* z (- b y))))
63.0ms	(+ (* x y) (* z (- t a)))
431.0ms	(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	1435
1	419
0	149

prune713.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.4b	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
1.7b	(+ (* x y) (* z (- t a)))
25.2b	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/`
8×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in`
2×	`+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `1-exp` `associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 145

Calls

4 calls:

9.0ms	(+ y (* z (- b y)))
24.0ms	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
11.0ms	(+ (* x y) (* z (- t a)))
22.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ y (* z (- b y)))
1.0s	(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
71.0ms	(+ (* x y) (* z (- t a)))
341.0ms	(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify1.5s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	1789
1	573
0	216

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 25.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ y (* z (- b y))))
1.3b	(/ 1 (+ (* x y) (* z (- t a))))
1.7b	(+ (* x y) (* z (- t a)))
24.1b	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

531×	`times-frac`
244×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
69×	`associate-/r/`
52×	`add-exp-log`
36×	`div-exp`
35×	`flip3-+` `flip-+` `div-inv`
21×	`associate-/r` `associate-/l`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
4×	`associate-+r+`
3×	`clear-num` `frac-2neg`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow-flip` `inv-pow`
1×	`+-commutative` `sum-log` `associate-/l/`

Counts

4 → 368

Calls

4 calls:

11.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(/ 1 (+ (* x y) (* z (- t a))))
10.0ms	(+ (* x y) (* z (- t a)))
45.0ms	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.4s

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ 1 (+ y (* z (- b y))))
84.0ms	(/ 1 (+ (* x y) (* z (- t a))))
68.0ms	(+ (* x y) (* z (- t a)))
1.1s	(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify2.4s

Counts

380 → 380

Iterations

Iter	Nodes
done	5003
2	4102
1	1723
0	539

prune2.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 25.5b

regimes949.0ms

Accuracy

0% (0.6b remaining)

Error of 23.5b against oracle of 22.9b and baseline of 23.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8409×

body

valid