Details

sample67.0ms

Algorithm

intervals

Results

18.0ms	250×	body	80	valid
5.0ms	16×	body	1280	valid
4.0ms	15×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3616
5	935
4	334
3	122
2	44
1	23
0	11

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.2b	(+ x (* (- y z) (/ (- t x) (- a z))))
3.8b	(* (- y z) (/ (- t x) (- a z)))

rewrite107.0ms

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/`
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 → 119

Calls

3 calls:

19.0ms	(/ (- t x) (- a z))
11.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
73.0ms	(* (- y z) (/ (- t x) (- a z)))

series495.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- t x) (- a z))
239.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
194.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5002
2	2689
1	500
0	183

prune839.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 3.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
1.4b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
9.2b	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
52×	`times-frac`
46×	`associate-r`
37×	`cbrt-prod`
27×	`add-cube-cbrt`
25×	`add-exp-log`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
16×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
9×	`flip3--` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `add-log-exp` `unswap-sqr`
5×	`frac-times`
3×	`associate-l/` `associate-r/`
2×	`pow1/3` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `*-commutative` `flip-+`

Counts

4 → 134

Calls

4 calls:

4.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
137.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
6.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- a z))
172.0ms	(cbrt (- a z))
449.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
206.0ms	(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify1.3s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	3437
1	755
0	255

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.9b	(/ 1 (/ (- a z) (- t x)))
3.8b	(* (- y z) (/ 1 (/ (- a z) (- t x))))
4.1b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))

rewrite163.0ms

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`
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 → 344

Calls

4 calls:

19.0ms	(/ (- a z) (- t x))
21.0ms	(/ 1 (/ (- a z) (- t x)))
98.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))
6.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- a z) (- t x))
336.0ms	(/ 1 (/ (- a z) (- t x)))
380.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))
241.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))

simplify588.0ms

Counts

356 → 356

Iterations

Iter	Nodes
done	5000
1	1166
0	393

prune1.9s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.4b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.4b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.0b	(* (/ (- y z) (- a z)) (- t x))

rewrite148.0ms

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/`
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 → 127

Calls

3 calls:

27.0ms	(/ (- y z) (- a z))
6.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
104.0ms	(* (/ (- y z) (- a z)) (- t x))

series750.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- y z) (- a z))
254.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
427.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify1.1s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	2148
1	536
0	195

prune886.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.4b

regimes968.0ms

Accuracy

62.5% (3.1b remaining)

Error of 6.3b against oracle of 3.2b and baseline of 11.4b

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	7893×	body	80	valid
101.0ms	375×	body	320	valid
94.0ms	429×	body	640	valid
93.0ms	322×	body	1280	valid
30.0ms	260×	body	160	valid
7.0ms	19×	body	2560	valid