Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	273×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	96	11
5	157	11
6	231	11
7	263	11
8	335	11
9	473	11
10	799	11
11	2276	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
1.7b	(* y (/ (- z t) (- z a)))

rewrite105.0ms

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:

10.0ms	(+ x (* y (/ (- z t) (- z a))))
37.0ms	(/ (- z t) (- z a))
49.0ms	(* y (/ (- z t) (- z a)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(+ x (* y (/ (- z t) (- z a))))
63.0ms	(/ (- z t) (- z a))
88.0ms	(* y (/ (- z t) (- z a)))

simplify918.0ms

Counts

122 → 122

Iterations

Useful iterations: done (914.0ms)

Iter	Nodes	Cost
0	162	1555
1	448	1466
2	1785	1374
done	5000	1368

prune361.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.7b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

51.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
148.0ms	(- (/ z (- z a)) (/ t (- z a)))
14.0ms	(/ z (- z a))
351.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ x (* y (- (/ z (- z a)) (/ t (- z a)))))
124.0ms	(- (/ z (- z a)) (/ t (- z a)))
56.0ms	(/ z (- z a))
174.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify747.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	187	1815
1	477	1715
2	1548	1613
done	5000	1613

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (/ 1 (- z a)) (- z t))))
0.0b	(/ 1 (- z a))
0.3b	(* (/ 1 (- z a)) (- z t))
1.7b	(* y (* (/ 1 (- z a)) (- z t)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
24×	`associate-l`
20×	`add-cbrt-cube`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`prod-exp`
12×	`pow1`
10×	`sub-neg`
9×	`associate-*r/`
8×	`associate-+r+` `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/`
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-+` `inv-pow`

Counts

4 → 148

Calls

4 calls:

10.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
13.0ms	(/ 1 (- z a))
48.0ms	(* (/ 1 (- z a)) (- z t))
66.0ms	(* y (* (/ 1 (- z a)) (- z t)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(+ x (* y (* (/ 1 (- z a)) (- z t))))
45.0ms	(/ 1 (- z a))
112.0ms	(* (/ 1 (- z a)) (- z t))
164.0ms	(* y (* (/ 1 (- z a)) (- z t)))

simplify1.8s

Counts

160 → 160

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	204	2005
1	563	1846
2	3380	1468
done	5001	1468

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.7b	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (- z a))) (cbrt (- z t))))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
22×	`associate-*r/`
18×	`add-exp-log`
16×	`frac-times`
15×	`cbrt-prod` `flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
12×	`add-cbrt-cube`
11×	`associate-*l/`
9×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative`

Counts

4 → 85

Calls

4 calls:

4.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
302.0ms	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (- z a))) (cbrt (- z t))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt (- z t))
206.0ms	(cbrt (- z t))
209.0ms	(cbrt (- z t))
73.0ms	(* y (* (* (cbrt (- z t)) (/ (cbrt (- z t)) (- z a))) (cbrt (- z t))))

simplify770.0ms

Counts

97 → 97

Iterations

Useful iterations: done (761.0ms)

Iter	Nodes	Cost
0	162	1584
1	402	1562
2	1218	1244
done	5001	1115

prune408.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
done	13	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

801.0ms	8757×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid