Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

280×

body

valid

simplify860.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	35	10
3	57	10
4	94	10
5	137	10
6	189	10
7	215	10
8	244	10
9	278	10
10	364	10
11	477	10
12	549	10
13	643	10
14	671	10
done	671	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.2b	(* y (/ (- z t) (- a t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
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 → 122

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
13.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series198.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* y (/ (- z t) (- a t))))
51.0ms	(/ (- z t) (- a t))
70.0ms	(* y (/ (- z t) (- a t)))

simplify1.6s

Counts

131 → 131

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	168	1615
1	434	1512
2	1167	1414
3	3837	1414
done	5000	1410

prune335.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
2.2b	(* y (- (/ z (- a t)) (/ t (- a t))))

rewrite536.0ms

Algorithm

rewrite-expression-head

Rules

2003×	`*-un-lft-identity`
1985×	`add-sqr-sqrt`
1971×	`times-frac`
1323×	`prod-diff`
1173×	`add-cube-cbrt`
443×	`distribute-rgt-in` `distribute-lft-in`
413×	`distribute-lft-out--`
401×	`difference-of-squares`
266×	`associate-/r/`
135×	`flip3--` `flip--`
133×	`div-inv`
21×	`fma-neg`
18×	`associate-r`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 1496

Calls

4 calls:

5.0ms	(/ z (- a t))
74.0ms	(- (/ z (- a t)) (/ t (- a t)))
5.0ms	(/ t (- a t))
252.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ z (- a t))
72.0ms	(- (/ z (- a t)) (/ t (- a t)))
48.0ms	(/ t (- a t))
85.0ms	(* y (- (/ z (- a t)) (/ t (- a t))))

simplify3.2s

Counts

1508 → 1508

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	1282	85855
1	1967	77254
2	4328	59514
done	5000	59199

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (cbrt t) 3)
0.7b	(pow (cbrt t) 3)
0.7b	(pow (cbrt t) 3)
2.2b	(* y (+ (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) (- (/ (pow (cbrt t) 3) (- a t)) (/ (pow (cbrt t) 3) (- a t)))))

rewrite8.6s

Algorithm

rewrite-expression-head

Rules

205×	`*-un-lft-identity`
76×	`times-frac`
74×	`distribute-lft-out--`
35×	`add-sqr-sqrt`
29×	`associate-r`
26×	`distribute-lft-out`
25×	`add-cube-cbrt`
18×	`cbrt-prod` `unpow-prod-down` `cube-prod` `associate-*r/`
16×	`frac-add`
12×	`flip3--` `flip--`
9×	`pow1` `add-exp-log` `pow-unpow`
8×	`associate-/r/` `frac-sub` `sub-div`
6×	`distribute-rgt-out--` `pow-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp` `difference-of-squares`
3×	`cube-mult` `pow-to-exp` `pow1/3` `unpow3` `associate-l` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

5.0ms	(pow (cbrt t) 3)
2.0ms	(pow (cbrt t) 3)
2.0ms	(pow (cbrt t) 3)
8.5s	(* y (+ (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) (- (/ (pow (cbrt t) 3) (- a t)) (/ (pow (cbrt t) 3) (- a t)))))

series879.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(pow (cbrt t) 3)
239.0ms	(pow (cbrt t) 3)
273.0ms	(pow (cbrt t) 3)
112.0ms	(* y (+ (- (/ z (- a t)) (/ (pow (cbrt t) 3) (- a t))) (- (/ (pow (cbrt t) 3) (- a t)) (/ (pow (cbrt t) 3) (- a t)))))

simplify1.2s

Counts

174 → 174

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	205	3204
1	673	1628
2	1896	1176
done	5000	1165

prune461.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
9.5b	(* (/ y (- a t)) (- z t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
64×	`*-un-lft-identity`
48×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 147

Calls

3 calls:

10.0ms	(+ x (* (/ y (- a t)) (- z t)))
5.0ms	(/ y (- a t))
27.0ms	(* (/ y (- a t)) (- z t))

series327.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ x (* (/ y (- a t)) (- z t)))
38.0ms	(/ y (- a t))
163.0ms	(* (/ y (- a t)) (- z t))

simplify884.0ms

Counts

156 → 156

Iterations

Useful iterations: done (880.0ms)

Iter	Nodes	Cost
0	238	2341
1	567	2059
2	1725	1801
done	5001	1783

prune367.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	19	36
done	19	36

end0.0ms

sample527.0ms

Algorithm

intervals

Results

272.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid