Details

sample42.0ms

Algorithm

intervals

Results

28.0ms

270×

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
20.1b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite96.0ms

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-+` `insert-posit16`
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 → 91

Calls

4 calls:

9.0ms	(+ y (* z (- b y)))
23.0ms	(* z (- b y))
19.0ms	(+ (* x y) (* z (- t a)))
44.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ y (* z (- b y)))
39.0ms	(* z (- b y))
46.0ms	(+ (* x y) (* z (- t a)))
409.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	1201
1	373
0	150

prune557.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.2b	(+ (* x y) (* z (- t a)))
20.1b	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

rewrite83.0ms

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:

16.0ms	(* z (- t a))
15.0ms	(* z (- b y))
9.0ms	(+ (* x y) (* z (- t a)))
42.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* z (- t a))
40.0ms	(* z (- b y))
48.0ms	(+ (* x y) (* z (- t a)))
327.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* z (- b y)) y))

simplify1.4s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1300
1	423
0	173

prune638.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* (- b y) z)
0.2b	(+ (* x y) (* z (- t a)))
20.1b	(/ (+ (* x y) (* z (- t a))) (+ (* (- b y) z) y))

rewrite104.0ms

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×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `insert-posit16`
3×	`associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`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 → 98

Calls

4 calls:

21.0ms	(* z (- t a))
16.0ms	(* (- b y) z)
9.0ms	(+ (* x y) (* z (- t a)))
56.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* (- b y) z) y))

series598.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (- t a))
39.0ms	(* (- b y) z)
69.0ms	(+ (* x y) (* z (- t a)))
436.0ms	(/ (+ (* x y) (* z (- t a))) (+ (* (- b y) z) y))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1333
1	416
0	170

prune676.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 19.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- b y) z)
0.2b	(+ (* x y) (* z (- t a)))
0.2b	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
20.1b	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

rewrite97.0ms

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

Counts

4 → 156

Calls

4 calls:

20.0ms	(* (- b y) z)
14.0ms	(+ (* x y) (* z (- t a)))
22.0ms	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
38.0ms	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

series1.8s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- b y) z)
52.0ms	(+ (* x y) (* z (- t a)))
1.5s	(/ 1 (/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a)))))
196.0ms	(/ (+ (* (- b y) z) y) (+ (* x y) (* z (- t a))))

simplify1.5s

Counts

168 → 168

Iterations

Iter	Nodes
done	5012
2	1869
1	635
0	247

prune1.1s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 10.1b

regimes1.2s

Accuracy

21.5% (9.0b remaining)

Error of 19.6b against oracle of 10.6b and baseline of 22.1b

bsearch247.0ms

Steps

Iters	Range		Point
10	1.083606830249518e+206	9.510752173198294e+215	1.122440542385563e+206
10	-1.530733730613425e-295	-3.624048073274082e-307	-1.1807804438070255e-295
7	-8.07534813694012e-223	-9.554269064230224e-225	-9.689336201481151e-225
3	-2.1368696347342594e+73	-1.5405045738637924e+73	-2.0995968184298553e+73

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	29

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.2s

8412×

body

valid