Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

283×

body

valid

simplify888.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	34	11
3	55	11
4	93	11
5	139	11
6	166	11
7	183	11
8	205	11
9	238	11
10	295	11
11	327	11
12	371	11
13	406	11
14	418	11
done	418	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.1b	(* y (/ (- z t) (- a t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

7.0ms	(+ x (* y (/ (- z t) (- a t))))
23.0ms	(/ (- z t) (- a t))
50.0ms	(* y (/ (- z t) (- a t)))

series265.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(+ x (* y (/ (- z t) (- a t))))
69.0ms	(/ (- z t) (- a t))
77.0ms	(* y (/ (- z t) (- a t)))

simplify2.0s

Counts

122 → 122

Iterations

Useful iterations: 2 (212.0ms)

Iter	Nodes	Cost
0	162	1555
1	417	1454
2	1178	1368
3	3704	1368
done	5000	1368

prune419.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.1b	(* y (* (- z t) (/ 1 (- a t))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

14.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
21.0ms	(/ 1 (- a t))
69.0ms	(* (- z t) (/ 1 (- a t)))
85.0ms	(* y (* (- z t) (/ 1 (- a t))))

series310.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
42.0ms	(/ 1 (- a t))
53.0ms	(* (- z t) (/ 1 (- a t)))
99.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify1.1s

Counts

142 → 142

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	182	1728
1	437	1392
2	1377	1228
done	5000	1228

prune349.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
11.9b	(* (- z t) (/ y (- a t)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

9.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
12.0ms	(/ y (- a t))
55.0ms	(* (- z t) (/ y (- a t)))

series225.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
42.0ms	(/ y (- a t))
76.0ms	(* (- z t) (/ y (- a t)))

simplify1.5s

Counts

104 → 104

Iterations

Useful iterations: 2 (255.0ms)

Iter	Nodes	Cost
0	158	1260
1	374	1149
2	1345	1071
done	5001	1071

prune305.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (* y (/ 1 (- a t))))))
0.0b	(/ 1 (- a t))
0.1b	(* y (/ 1 (- a t)))
11.9b	(* (- z t) (* y (/ 1 (- a t))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
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×	`associate-*r/` `div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`frac-times` `pow-prod-down` `associate-/r/` `un-div-inv`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 129

Calls

4 calls:

12.0ms	(+ x (* 1 (* (- z t) (* y (/ 1 (- a t))))))
14.0ms	(/ 1 (- a t))
34.0ms	(* y (/ 1 (- a t)))
70.0ms	(* (- z t) (* y (/ 1 (- a t))))

series253.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(+ x (* 1 (* (- z t) (* y (/ 1 (- a t))))))
42.0ms	(/ 1 (- a t))
33.0ms	(* y (/ 1 (- a t)))
76.0ms	(* (- z t) (* y (/ 1 (- a t))))

simplify4.3s

Counts

141 → 141

Iterations

Useful iterations: 2 (294.0ms)

Iter	Nodes	Cost
0	184	1673
1	441	1303
2	1234	1153
3	4985	1153
done	5000	1153

prune425.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

496.0ms	8764×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid