Details

sample47.0ms

Algorithm

intervals

Results

24.0ms

256×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3263
7	1792
6	1228
5	907
4	476
3	182
2	71
1	32
0	16

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ y t) a)
1.4b	(- (* z (+ x y)) (* b y))
2.3b	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
25.4b	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

rewrite157.0ms

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-*l/`
8×	`flip3-+` `add-cbrt-cube` `frac-add` `add-exp-log` `flip-+`
6×	`pow1` `associate-/l/`
5×	`associate-/r*` `flip3--` `flip--`
4×	`associate-+r+` `associate-l` `associate--l+`
3×	`associate-r` `associate-/l*`
2×	`distribute-rgt-in` `associate-+r-` `sum-log` `sub-neg` `distribute-lft-in` `diff-log` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `frac-2neg` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (+ y t) a)
11.0ms	(- (* z (+ x y)) (* b y))
27.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
99.0ms	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

series353.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ y t) a)
35.0ms	(- (* z (+ x y)) (* b y))
109.0ms	(+ (* (+ y t) a) (- (* z (+ x y)) (* b y)))
184.0ms	(/ (+ (* (+ y t) a) (- (* z (+ x y)) (* b y))) (+ x (+ y t)))

simplify1.6s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2325
1	527
0	181

prune799.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t))) (/ (* b y) (+ x (+ y t))))
1.3b	(+ (* (+ y t) a) (* z (+ x y)))
8.0b	(/ (* b y) (+ x (+ y t)))
23.4b	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `times-frac`
18×	`distribute-lft-out`
16×	`add-cube-cbrt`
14×	`flip3-+` `flip-+`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r*`
8×	`associate-l/` `frac-add` `associate-r/` `associate-/r/` `add-log-exp`
6×	`associate-/l/`
4×	`pow1` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `div-exp`
2×	`associate-+r+` `clear-num` `frac-2neg` `difference-of-squares`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 107

Calls

4 calls:

323.0ms	(- (/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t))) (/ (* b y) (+ x (+ y t))))
13.0ms	(+ (* (+ y t) a) (* z (+ x y)))
32.0ms	(/ (* b y) (+ x (+ y t)))
82.0ms	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series803.0ms

Counts

4 → 12

Calls

4 calls:

392.0ms	(- (/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t))) (/ (* b y) (+ x (+ y t))))
57.0ms	(+ (* (+ y t) a) (* z (+ x y)))
65.0ms	(/ (* b y) (+ x (+ y t)))
289.0ms	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.7s

Counts

119 → 119

Iterations

Iter	Nodes
done	5003
2	2451
1	596
0	200

prune927.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (+ y t)) y)
1.3b	(+ (* (+ y t) a) (* z (+ x y)))
3.1b	(/ b (/ (+ x (+ y t)) y))
23.4b	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`associate-l/` `frac-add` `associate-r/` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`associate-+r+`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

4 → 191

Calls

4 calls:

61.0ms	(/ (+ x (+ y t)) y)
11.0ms	(+ (* (+ y t) a) (* z (+ x y)))
35.0ms	(/ b (/ (+ x (+ y t)) y))
53.0ms	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (+ x (+ y t)) y)
57.0ms	(+ (* (+ y t) a) (* z (+ x y)))
72.0ms	(/ b (/ (+ x (+ y t)) y))
210.0ms	(/ (+ (* (+ y t) a) (* z (+ x y))) (+ x (+ y t)))

simplify1.7s

Counts

203 → 203

Iterations

Iter	Nodes
done	5004
2	2939
1	804
0	288

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t)))) (/ b (/ (+ x (+ y t)) y)))
1.3b	(+ (* (+ y t) a) (* z (+ x y)))
3.1b	(/ b (/ (+ x (+ y t)) y))
23.5b	(* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

146×	`*-un-lft-identity`
134×	`times-frac`
77×	`add-sqr-sqrt`
70×	`add-cube-cbrt`
45×	`distribute-lft-out`
32×	`associate-*l/`
26×	`flip3-+` `flip-+`
22×	`associate-*r/`
21×	`associate-r`
20×	`frac-add`
19×	`associate-/r*`
18×	`add-exp-log`
14×	`add-cbrt-cube` `frac-sub`
12×	`frac-times`
8×	`add-log-exp`
6×	`pow1` `div-inv`
5×	`div-exp`
4×	`cbrt-undiv` `prod-exp`
3×	`associate-l` `associate-/r/` `associate-/l*` `unswap-sqr`
2×	`associate-+r+` `un-div-inv` `cbrt-unprod`
1×	`distribute-rgt-in` `+-commutative` `rec-exp` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 193

Calls

4 calls:

74.0ms	(- (* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t)))) (/ b (/ (+ x (+ y t)) y)))
16.0ms	(+ (* (+ y t) a) (* z (+ x y)))
30.0ms	(/ b (/ (+ x (+ y t)) y))
112.0ms	(* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t))))

series626.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(- (* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t)))) (/ b (/ (+ x (+ y t)) y)))
54.0ms	(+ (* (+ y t) a) (* z (+ x y)))
59.0ms	(/ b (/ (+ x (+ y t)) y))
211.0ms	(* (+ (* (+ y t) a) (* z (+ x y))) (/ 1 (+ x (+ y t))))

simplify1.8s

Counts

205 → 205

Iterations

Iter	Nodes
done	5001
2	4902
1	1177
0	379

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

regimes1.0s

Accuracy

39.3% (9.4b remaining)

Error of 13.2b against oracle of 3.8b and baseline of 19.4b

bsearch68.0ms

Steps

Iters	Range		Point
5	4.3376741964530583e+55	1.4236792269708283e+56	4.4021352839803213e+55
5	-1.9394928288065252e+28	-8.641099922541409e+27	-8.734976865957546e+27

simplify5.0ms

Iterations

Iter	Nodes
done	40
1	40
0	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

892.0ms	7997×	body	80	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid