Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	250×	body	80	valid
9.0ms	10×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	6×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	2162
5	786
4	312
3	120
2	44
1	23
0	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.5b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.5b	(* (- y z) (/ (- t x) (- a z)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 122

Calls

3 calls:

21.0ms	(/ (- t x) (- a z))
7.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
58.0ms	(* (- y z) (/ (- t x) (- a z)))

series450.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (- t x) (- a z))
196.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
168.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1770
1	503
0	186

prune530.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.7b	(/ 1 (/ (- a z) (- t x)))
4.0b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.5b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
83×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp` `insert-posit16`
3×	`cbrt-unprod`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 348

Calls

4 calls:

23.0ms	(/ (- a z) (- t x))
24.0ms	(/ 1 (/ (- a z) (- t x)))
7.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
87.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series950.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (- a z) (- t x))
279.0ms	(/ 1 (/ (- a z) (- t x)))
212.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
363.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify2.6s

Counts

360 → 360

Iterations

Iter	Nodes
done	5000
2	3780
1	1149
0	397

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.6b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.9b	(* (/ (- y z) (- a z)) (- t x))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-r` `flip--` `associate-/l` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `associate-/r/`
3×	`insert-posit16`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 130

Calls

3 calls:

24.0ms	(/ (- y z) (- a z))
8.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
69.0ms	(* (/ (- y z) (- a z)) (- t x))

series712.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- y z) (- a z))
225.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
429.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify1.4s

Counts

139 → 139

Iterations

Iter	Nodes
done	5001
2	1727
1	539
0	198

prune672.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
2.9b	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x))
5.5b	(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x)))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

82×	`frac-times`
76×	`cbrt-div`
56×	`flip3--` `flip--`
53×	`associate-*l/`
22×	`add-exp-log`
17×	`associate-*r/`
16×	`add-cbrt-cube`
13×	`add-sqr-sqrt` `pow1` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-r`
4×	`distribute-rgt-in` `associate-+r+` `sub-neg` `distribute-lft-in` `insert-posit16`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`+-commutative` `sum-log` `flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 133

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
279.0ms	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x))
9.0ms	(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (- y z))
156.0ms	(cbrt (- y z))
411.0ms	(* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x))
231.0ms	(+ x (* (* (* (cbrt (- y z)) (cbrt (- y z))) (/ (cbrt (- y z)) (- a z))) (- t x)))

simplify2.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
2	3563
1	915
0	290

prune788.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 2.3b

regimes723.0ms

Accuracy

67.5% (2.6b remaining)

Error of 6.0b against oracle of 3.4b and baseline of 11.5b

bsearch4.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	34
1	34
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

680.0ms	7809×	body	80	valid
137.0ms	411×	body	320	valid
110.0ms	463×	body	640	valid
90.0ms	284×	body	1280	valid
58.0ms	252×	body	160	valid
4.0ms	11×	body	2560	valid