Details

sample29.0ms

Algorithm

intervals

Results

16.0ms

266×

body

valid

simplify1.4s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.9b	(+ (* x y) (* z (- t a)))
19.9b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `add-log-exp`
4×	`associate-+r+` `associate-*r/` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 102

Calls

4 calls:

20.0ms	(* z (- t a))
31.0ms	(* z (- b y))
17.0ms	(+ (* x y) (* z (- t a)))
47.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series491.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* z (- t a))
37.0ms	(* z (- b y))
48.0ms	(+ (* x y) (* z (- t a)))
367.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1313
1	424
0	173

prune702.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 19.6b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t a) z)
0.0b	(* z (- b y))
0.9b	(+ (* x y) (* (- t a) z))
19.9b	(/ (+ (* x y) (* (- t a) z)) (+ y (* z (- b y))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 94

Calls

4 calls:

32.0ms	(* (- t a) z)
31.0ms	(* z (- b y))
14.0ms	(+ (* x y) (* (- t a) z))
56.0ms	(/ (+ (* x y) (* (- t a) z)) (+ y (* z (- b y))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- t a) z)
49.0ms	(* z (- b y))
60.0ms	(+ (* x y) (* (- t a) z))
372.0ms	(/ (+ (* x y) (* (- t a) z)) (+ y (* z (- b y))))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
2	1346
1	421
0	168

prune542.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 19.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.5b	(/ 1 (+ y (* z (- b y))))
0.9b	(+ (* x y) (* (- t a) z))
19.6b	(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

rewrite125.0ms

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×	`div-exp` `associate-/r/` `insert-posit16` `unswap-sqr`
3×	`associate-/r` `associate-r/` `cbrt-unprod` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `cbrt-undiv` `rec-exp` `sub-neg` `distribute-lft-in` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3--` `un-div-inv` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

29.0ms	(* z (- b y))
12.0ms	(/ 1 (+ y (* z (- b y))))
14.0ms	(+ (* x y) (* (- t a) z))
65.0ms	(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* z (- b y))
91.0ms	(/ 1 (+ y (* z (- b y))))
49.0ms	(+ (* x y) (* (- t a) z))
354.0ms	(* (+ (* x y) (* (- t a) z)) (/ 1 (+ y (* z (- b y)))))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5000
2	1572
1	484
0	177

prune667.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 19.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- t a) z)
0.0b	(* z (- b y))
0.9b	(+ (* (- t a) z) (* x y))
19.9b	(/ (+ (* (- t a) z) (* x y)) (+ y (* z (- b y))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 94

Calls

4 calls:

31.0ms	(* (- t a) z)
29.0ms	(* z (- b y))
23.0ms	(+ (* (- t a) z) (* x y))
71.0ms	(/ (+ (* (- t a) z) (* x y)) (+ y (* z (- b y))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- t a) z)
52.0ms	(* z (- b y))
55.0ms	(+ (* (- t a) z) (* x y))
254.0ms	(/ (+ (* (- t a) z) (* x y)) (+ y (* z (- b y))))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1390
1	421
0	168

prune488.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 17.8b

regimes807.0ms

Accuracy

0% (4.0b remaining)

Error of 21.9b against oracle of 18.0b and baseline of 21.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8434×

body

valid