Details

sample58.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	3390
7	1948
6	1352
5	946
4	470
3	182
2	71
1	32
0	16

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ x y))
0.7b	(- (+ (* z (+ x y)) (* a (+ y t))) (* b y))
1.2b	(+ (* z (+ x y)) (* a (+ y t)))
28.1b	(/ (- (+ (* z (+ x y)) (* a (+ y t))) (* b y)) (+ (+ x y) t))

rewrite573.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

45.0ms	(* z (+ x y))
159.0ms	(- (+ (* z (+ x y)) (* a (+ y t))) (* b y))
32.0ms	(+ (* z (+ x y)) (* a (+ y t)))
328.0ms	(/ (- (+ (* z (+ x y)) (* a (+ y t))) (* b y)) (+ (+ x y) t))

series795.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (+ x y))
203.0ms	(- (+ (* z (+ x y)) (* a (+ y t))) (* b y))
130.0ms	(+ (* z (+ x y)) (* a (+ y t)))
410.0ms	(/ (- (+ (* z (+ x y)) (* a (+ y t))) (* b y)) (+ (+ x y) t))

simplify3.0s

Counts

108 → 108

Iterations

Iter	Nodes
done	5007
2	2404
1	566
0	185

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ x y))
1.2b	(+ (* z (+ x y)) (* a (+ y t)))
7.0b	(/ (* b y) (+ (+ x y) t))
25.5b	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `times-frac`
19×	`distribute-lft-out`
18×	`add-cube-cbrt` `associate-*r/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/l/` `add-log-exp`
4×	`associate-r` `associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-l`
2×	`associate-+l+` `associate-+r+` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

41.0ms	(* z (+ x y))
33.0ms	(+ (* z (+ x y)) (* a (+ y t)))
74.0ms	(/ (* b y) (+ (+ x y) t))
134.0ms	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

series546.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* z (+ x y))
115.0ms	(+ (* z (+ x y)) (* a (+ y t)))
99.0ms	(/ (* b y) (+ (+ x y) t))
279.0ms	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

simplify3.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
2	2558
1	590
0	199

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) t))
1.2b	(+ (* z (+ x y)) (* a (+ y t)))
4.7b	(* b (/ y (+ (+ x y) t)))
25.5b	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-r`
17×	`associate-*r/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`distribute-rgt-in` `associate-+l+` `associate-+r+` `frac-2neg` `distribute-lft-in` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 139

Calls

4 calls:

69.0ms	(/ y (+ (+ x y) t))
28.0ms	(+ (* z (+ x y)) (* a (+ y t)))
165.0ms	(* b (/ y (+ (+ x y) t)))
193.0ms	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

series663.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ y (+ (+ x y) t))
111.0ms	(+ (* z (+ x y)) (* a (+ y t)))
99.0ms	(* b (/ y (+ (+ x y) t)))
315.0ms	(/ (+ (* z (+ x y)) (* a (+ y t))) (+ (+ x y) t))

simplify3.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	5002
2	2727
1	609
0	208

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize66.0ms

Local error

Found 4 expressions with local error:

1.1b	(+ (* z y) (* a (+ y t)))
2.0b	(+ (* z x) (+ (* z y) (* a (+ y t))))
4.7b	(* b (/ y (+ (+ x y) t)))
25.5b	(/ (+ (* z x) (+ (* z y) (* a (+ y t)))) (+ (+ x y) t))

rewrite425.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
31×	`times-frac`
29×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `associate-/r*` `flip-+`
4×	`sum-log` `associate-/r/`
3×	`associate-+r+` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `+-commutative` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

4 → 105

Calls

4 calls:

21.0ms	(+ (* z y) (* a (+ y t)))
43.0ms	(+ (* z x) (+ (* z y) (* a (+ y t))))
151.0ms	(* b (/ y (+ (+ x y) t)))
199.0ms	(/ (+ (* z x) (+ (* z y) (* a (+ y t)))) (+ (+ x y) t))

series619.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (* z y) (* a (+ y t)))
113.0ms	(+ (* z x) (+ (* z y) (* a (+ y t))))
126.0ms	(* b (/ y (+ (+ x y) t)))
305.0ms	(/ (+ (* z x) (+ (* z y) (* a (+ y t)))) (+ (+ x y) t))

simplify2.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5012
2	1918
1	500
0	173

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

regimes2.0s

Accuracy

14% (17.9b remaining)

Error of 20.9b against oracle of 3.1b and baseline of 23.8b

bsearch414.0ms

Steps

Iters	Range		Point
6	4.889857791733025e+70	3.7240163620985844e+71	8.407686055131772e+70
4	3.0081338006317154e-178	5.680150170981643e-178	3.942386611488526e-178
6	-1.3242116735510232e-218	-1.7260429740984947e-219	-2.5421547707556354e-219
10	-765565.6652810962	-1.1785608538762668e-07	-249617.47892728483
7	-5.279362029180319e+188	-1.6351337864259163e+187	-1.6862949108577276e+187

simplify14.0ms

Iterations

Iter	Nodes
done	48
1	48
0	37

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s	7999×	body	80	valid
0.0ms	1×	body	640	valid