Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

270×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	14	17
1	24	16
2	43	15
3	75	15
4	112	15
5	148	15
6	181	15
7	257	15
8	419	15
9	728	15
10	1525	15
11	4096	15
done	5000	15

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.0b	(* z (- b y))
0.7b	(+ (* x y) (* z (- t a)))
23.7b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite453.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
54×	`prod-diff`
52×	`add-cube-cbrt`
33×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+r+`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`sub-neg` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
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` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 161

Calls

4 calls:

24.0ms	(* z (- t a))
24.0ms	(* z (- b y))
360.0ms	(+ (* x y) (* z (- t a)))
35.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* z (- t a))
39.0ms	(* z (- b y))
52.0ms	(+ (* x y) (* z (- t a)))
402.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.0s

Counts

173 → 173

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	291	2904
1	619	2372
2	1671	1992
done	5000	1920

prune594.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- b y))
0.3b	(fma x y (* z t))
1.1b	(+ (fma x y (* z t)) (* z (- a)))
23.7b	(/ (+ (fma x y (* z t)) (* z (- a))) (+ y (* z (- b y))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `distribute-rgt-neg-out` `log1p-expm1-u`
3×	`fma-def` `flip3-+` `associate-l` `associate-/r` `flip-+` `associate-/l`
2×	`sub-neg` `div-sub` `associate-*r/` `unsub-neg` `associate-/r/` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l+` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

31.0ms	(* z (- b y))
0.0ms	(fma x y (* z t))
6.0ms	(+ (fma x y (* z t)) (* z (- a)))
41.0ms	(/ (+ (fma x y (* z t)) (* z (- a))) (+ y (* z (- b y))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* z (- b y))
63.0ms	(fma x y (* z t))
56.0ms	(+ (fma x y (* z t)) (* z (- a)))
389.0ms	(/ (+ (fma x y (* z t)) (* z (- a))) (+ y (* z (- b y))))

simplify794.0ms

Counts

122 → 122

Iterations

Useful iterations: done (790.0ms)

Iter	Nodes	Cost
0	199	2133
1	419	1852
2	1300	1556
done	5000	1458

prune430.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.9b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x y (* t z))
2.2b	(/ a (/ (fma z (- b y) y) z))
13.9b	(/ (fma z (- b y) y) z)
21.0b	(/ (fma x y (* t z)) (fma z (- b y) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
7×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

4 → 140

Calls

4 calls:

0.0ms	(fma x y (* t z))
15.0ms	(/ a (/ (fma z (- b y) y) z))
8.0ms	(/ (fma z (- b y) y) z)
9.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

series358.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma x y (* t z))
70.0ms	(/ a (/ (fma z (- b y) y) z))
39.0ms	(/ (fma z (- b y) y) z)
189.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

simplify2.2s

Counts

152 → 152

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	215	2606
1	414	2519
2	1245	2353
3	3799	2351
done	5001	2351

prune767.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 19.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.3b	(fma x y (* t z))
2.2b	(/ a (- (+ (/ y z) b) y))
21.0b	(/ (fma x y (* t z)) (fma z (- b y) y))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
27×	`times-frac`
23×	`add-cube-cbrt`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `fma-udef` `div-inv`
1×	`flip3--` `flip--`

Counts

4 → 92

Calls

4 calls:

0.0ms	(fma z (- b y) y)
0.0ms	(fma x y (* t z))
104.0ms	(/ a (- (+ (/ y z) b) y))
5.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

series315.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma z (- b y) y)
51.0ms	(fma x y (* t z))
62.0ms	(/ a (- (+ (/ y z) b) y))
160.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: 2 (144.0ms)

Iter	Nodes	Cost
0	143	1503
1	261	1464
2	644	1346
3	1969	1346
done	5000	1346

prune470.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 17.6b

regimes515.0ms

Accuracy

1.4% (2.5b remaining)

Error of 17.8b against oracle of 15.3b and baseline of 17.9b

bsearch70.0ms

Steps

Iters	Range		Point
9	-4.375475773243934e+160	-2.5035812315715853e+153	-6.665018424556654e+158

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	24	40
1	28	39
2	30	39
done	30	39

end0.0ms

sample1.4s

Algorithm

intervals

Results

783.0ms

8404×

body

valid