Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	237×	body	80	valid
3.0ms	13×	body	640	valid
3.0ms	10×	body	1280	valid
3.0ms	13×	body	320	valid
1.0ms	4×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	2087
6	873
5	342
4	176
3	101
2	50
1	22
0	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.4b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.1b	(/ (* (- z t) y) (- a t))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-l*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
3×	`associate-r` `insert-posit16`
2×	`cbrt-undiv` `diff-log` `div-exp` `prod-exp` `associate-/r/` `frac-sub` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 73

Calls

3 calls:

17.0ms	(* (- z t) y)
50.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
20.0ms	(/ (* (- z t) y) (- a t))

series287.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* (- z t) y)
153.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
90.0ms	(/ (* (- z t) y) (- a t))

simplify1.2s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	1373
1	395
0	153

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (/ (* (- z t) y) (- a t))))
0.0b	(* (- z t) y)
2.4b	(- y (/ (* (- z t) y) (- a t)))
9.1b	(/ (* (- z t) y) (- a t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1`
5×	`associate-/r` `times-frac` `associate-l*` `distribute-lft-out--`
4×	`flip3--` `associate-*l/` `insert-posit16` `flip--` `difference-of-squares`
3×	`associate-r`
2×	`cbrt-undiv` `associate-+r+` `sum-log` `sub-neg` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

32.0ms	(+ x (- y (/ (* (- z t) y) (- a t))))
21.0ms	(* (- z t) y)
12.0ms	(- y (/ (* (- z t) y) (- a t)))
33.0ms	(/ (* (- z t) y) (- a t))

series347.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(+ x (- y (/ (* (- z t) y) (- a t))))
32.0ms	(* (- z t) y)
94.0ms	(- y (/ (* (- z t) y) (- a t)))
72.0ms	(/ (* (- z t) y) (- a t))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1238
1	384
0	150

prune484.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- y (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
5.0b	(- y (* (- z t) (/ y (- a t))))
9.9b	(* (- z t) (/ y (- a t)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `flip3--` `associate-l*` `flip--`
4×	`associate-/r/` `insert-posit16`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `associate-+r+` `sum-log` `sub-neg` `diff-log` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 115

Calls

4 calls:

11.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
8.0ms	(/ y (- a t))
5.0ms	(- y (* (- z t) (/ y (- a t))))
47.0ms	(* (- z t) (/ y (- a t)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(+ x (- y (* (- z t) (/ y (- a t)))))
32.0ms	(/ y (- a t))
132.0ms	(- y (* (- z t) (/ y (- a t))))
101.0ms	(* (- z t) (/ y (- a t)))

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1601
1	443
0	178

prune555.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
8.4b	(- y (* (- z t) (* y (/ 1 (- a t)))))
9.9b	(* (- z t) (* y (/ 1 (- a t))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac` `add-exp-log`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-*r/` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 133

Calls

4 calls:

8.0ms	(/ 1 (- a t))
27.0ms	(* y (/ 1 (- a t)))
6.0ms	(- y (* (- z t) (* y (/ 1 (- a t)))))
40.0ms	(* (- z t) (* y (/ 1 (- a t))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ 1 (- a t))
43.0ms	(* y (/ 1 (- a t)))
129.0ms	(- y (* (- z t) (* y (/ 1 (- a t)))))
79.0ms	(* (- z t) (* y (/ 1 (- a t))))

simplify1.4s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	1433
1	441
0	181

prune504.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.1b

regimes471.0ms

Accuracy

-22.6% (6.5b remaining)

Error of 10.4b against oracle of 3.9b and baseline of 9.2b

bsearch87.0ms

Steps

Iters	Range		Point
9	1.3078459179729294e+100	1.0942324262445282e+106	5.8516997634450565e+103
8	-2.2626552322333282e+57	-3.605419337961467e+54	-3.882750870169282e+54

simplify4.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample1.4s

Algorithm

intervals

Results

896.0ms	7354×	body	80	valid
84.0ms	433×	body	640	valid
59.0ms	403×	body	320	valid
56.0ms	236×	body	1280	valid
24.0ms	253×	body	160	valid
4.0ms	14×	body	2560	valid