Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	255×	body	80	valid
3.0ms	20×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	6×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
3.5b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.0b	(* (- y z) (/ (- t x) (- a z)))

rewrite89.0ms

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:

25.0ms	(/ (- t x) (- a z))
14.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
45.0ms	(* (- y z) (/ (- t x) (- a z)))

series450.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- t x) (- a z))
211.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
169.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1764
1	500
0	183

prune715.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.4b	(/ 1 (/ (- a z) (- t x)))
4.2b	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
5.0b	(* (- y z) (/ 1 (/ (- a z) (- t x))))

rewrite191.0ms

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:

28.0ms	(/ (- a z) (- t x))
31.0ms	(/ 1 (/ (- a z) (- t x)))
8.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
90.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

66.0ms	(/ (- a z) (- t x))
289.0ms	(/ 1 (/ (- a z) (- t x)))
229.0ms	(+ x (* (- y z) (/ 1 (/ (- a z) (- t x)))))
789.0ms	(* (- y z) (/ 1 (/ (- a z) (- t x))))

simplify2.1s

Counts

356 → 356

Iterations

Iter	Nodes
done	5000
2	3779
1	1145
0	393

prune1.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.7b	(+ x (* (/ (- y z) (- a z)) (- t x)))
3.5b	(* (/ (- y z) (- a z)) (- t x))

rewrite115.0ms

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:

28.0ms	(/ (- y z) (- a z))
10.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
69.0ms	(* (/ (- y z) (- a z)) (- t x))

series748.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- y z) (- a z))
229.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
444.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify1.6s

Counts

136 → 136

Iterations

Iter	Nodes
done	5001
2	1716
1	536
0	195

prune867.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.5b	(/ 1 (/ (- a z) (- y z)))
2.7b	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))
3.5b	(* (/ 1 (/ (- a z) (- y z))) (- t x))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
338×	`add-sqr-sqrt`
326×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-l`
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-r` `unswap-sqr`
4×	`distribute-rgt-in` `rec-exp` `associate-+r+` `sub-neg` `distribute-lft-in` `1-exp`
3×	`cbrt-unprod`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 351

Calls

4 calls:

22.0ms	(/ (- a z) (- y z))
20.0ms	(/ 1 (/ (- a z) (- y z)))
11.0ms	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))
101.0ms	(* (/ 1 (/ (- a z) (- y z))) (- t x))

series891.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (- a z) (- y z))
176.0ms	(/ 1 (/ (- a z) (- y z)))
276.0ms	(+ x (* (/ 1 (/ (- a z) (- y z))) (- t x)))
375.0ms	(* (/ 1 (/ (- a z) (- y z))) (- t x))

simplify2.2s

Counts

363 → 363

Iterations

Iter	Nodes
done	5000
2	3477
1	1184
0	401

prune2.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 4.3b

regimes964.0ms

Accuracy

62.2% (2.9b remaining)

Error of 6.9b against oracle of 4.1b and baseline of 11.7b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	55
1	55
0	41

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	7882×	body	80	valid
150.0ms	484×	body	640	valid
82.0ms	425×	body	320	valid
78.0ms	270×	body	1280	valid
27.0ms	230×	body	160	valid
5.0ms	13×	body	2560	valid