Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	250×	body	80	valid
2.0ms	17×	body	640	valid
1.0ms	10×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify74.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	6
1	44	6
2	122	6
3	327	6
4	868	6
5	1727	6
6	3544	6
7	5001	6
done	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.2b	(+ x (* (- y z) (/ (- t x) (- a z))))
6.2b	(* (- 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-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

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)))

series373.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- t x) (- a z))
169.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
144.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify54.0ms

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	473	869
1	2012	820
2	5001	820
done	5001	820

prune326.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a z))
0.2b	(* (- t x) (/ 1 (- a z)))
6.1b	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
6.2b	(* (- y z) (* (- t x) (/ 1 (- a z))))

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

12.0ms	(/ 1 (- a z))
248.0ms	(* (- t x) (/ 1 (- a z)))
9.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
69.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

series393.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (- a z))
55.0ms	(* (- t x) (/ 1 (- a z)))
165.0ms	(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))
137.0ms	(* (- y z) (* (- t x) (/ 1 (- a z))))

simplify71.0ms

Counts

158 → 158

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	585	1027
1	2810	910
2	5003	865
done	5003	865

prune340.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
4.2b	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
6.2b	(* (/ (- t x) (- a z)) (- y z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 124

Calls

3 calls:

23.0ms	(/ (- t x) (- a z))
8.0ms	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
59.0ms	(* (/ (- t x) (- a z)) (- y z))

series431.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- t x) (- a z))
173.0ms	(+ x (pow (* (/ (- t x) (- a z)) (- y z)) 1))
206.0ms	(* (/ (- t x) (- a z)) (- y z))

simplify54.0ms

Counts

133 → 133

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	524	936
1	1988	881
2	5003	878
done	5003	878

prune356.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.7b	(* (- t x) (/ (- y z) (- a z)))
2.5b	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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-+` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

21.0ms	(/ (- y z) (- a z))
57.0ms	(* (- t x) (/ (- y z) (- a z)))
9.0ms	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

series344.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- y z) (- a z))
118.0ms	(* (- t x) (/ (- y z) (- a z)))
174.0ms	(+ x (pow (* (- t x) (/ (- y z) (- a z))) 1))

simplify55.0ms

Counts

129 → 129

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	480	885
1	2094	831
2	5002	831
done	5002	831

prune305.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.1b

regimes270.0ms

Accuracy

5.2% (7.4b remaining)

Error of 11.7b against oracle of 4.2b and baseline of 12.1b

bsearch44.0ms

Steps

Iters	Range		Point
10	2.5867962836078684e+238	6.905641928171576e+250	3.181957455920013e+242

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7
done	20	7

end0.0ms

sample783.0ms

Algorithm

intervals

Results

247.0ms	7766×	body	80	valid
52.0ms	491×	body	640	valid
38.0ms	283×	body	1280	valid
34.0ms	427×	body	320	valid
16.0ms	280×	body	160	valid
3.0ms	16×	body	2560	valid