Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

270×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

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

prune7.0ms

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))))

rewrite116.0ms

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:

26.0ms	(* z (- t a))
24.0ms	(* z (- b y))
14.0ms	(+ (* x y) (* z (- t a)))
44.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series599.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* z (- t a))
51.0ms	(* z (- b y))
70.0ms	(+ (* x y) (* z (- t a)))
435.0ms	(/ (+ (* 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

prune489.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 23.8b

localize22.0ms

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

rewrite88.0ms

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×	`distribute-lft-neg-out` `expm1-log1p-u` `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:

33.0ms	(* z (- b y))
0.0ms	(fma x y (* z t))
8.0ms	(+ (fma x y (* z t)) (* (- a) z))
41.0ms	(/ (+ (fma x y (* z t)) (* (- a) z)) (+ y (* z (- b y))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (- b y))
43.0ms	(fma x y (* z t))
56.0ms	(+ (fma x y (* z t)) (* (- a) z))
454.0ms	(/ (+ (fma x y (* z t)) (* (- a) z)) (+ y (* z (- b y))))

simplify738.0ms

Counts

122 → 122

Iterations

Useful iterations: done (734.0ms)

Iter	Nodes	Cost
0	198	2133
1	417	1853
2	1299	1611
done	5001	1458

prune385.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 21.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x y (* t z))
4.1b	(/ (fma z (- b y) y) a)
9.6b	(/ z (/ (fma z (- b y) y) a))
21.0b	(/ (fma x y (* t z)) (fma z (- b y) y))

rewrite31.0ms

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))
5.0ms	(/ (fma z (- b y) y) a)
15.0ms	(/ z (/ (fma z (- b y) y) a))
5.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

series419.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma x y (* t z))
59.0ms	(/ (fma z (- b y) y) a)
141.0ms	(/ z (/ (fma z (- b y) y) a))
166.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

simplify2.1s

Counts

152 → 152

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	219	2630
1	426	2543
2	1255	2377
3	3803	2363
done	5000	2360

prune805.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 19.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x y (* t z))
2.1b	(* (/ z (fma z (- b y) y)) a)
13.9b	(/ z (fma z (- b y) y))
21.0b	(/ (fma x y (* t z)) (fma z (- b y) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative` `fma-udef`

Counts

4 → 102

Calls

4 calls:

0.0ms	(fma x y (* t z))
30.0ms	(* (/ z (fma z (- b y) y)) a)
7.0ms	(/ z (fma z (- b y) y))
7.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

series535.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(fma x y (* t z))
174.0ms	(* (/ z (fma z (- b y) y)) a)
99.0ms	(/ z (fma z (- b y) y))
199.0ms	(/ (fma x y (* t z)) (fma z (- b y) y))

simplify2.1s

Counts

114 → 114

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	139	1604
1	268	1579
2	713	1421
3	1964	1421
done	5000	1421

prune911.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.9b

regimes434.0ms

Accuracy

0% (3.8b remaining)

Error of 21.6b against oracle of 17.8b and baseline of 21.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	21	26
done	21	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

731.0ms

8404×

body

valid