Details

sample61.0ms

Algorithm

intervals

Results

33.0ms	265×	body	80	valid
4.0ms	10×	body	1280	valid
4.0ms	14×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t x) (- a z))
2.2b	(+ x (* (- y z) (/ (- t x) (- a z))))
5.5b	(* (- y z) (/ (- t x) (- a z)))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
96×	`add-sqr-sqrt`
51×	`times-frac`
33×	`add-cube-cbrt`
31×	`associate-r` `distribute-lft-out--`
30×	`frac-times`
29×	`difference-of-squares`
22×	`flip3--` `flip--` `associate-/l*`
20×	`associate-/r*`
15×	`associate-*r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l/`
7×	`associate-l`
5×	`pow1` `clear-num` `add-log-exp`
4×	`frac-2neg` `associate-/r/`
3×	`un-div-inv` `insert-posit16` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 170

Calls

3 calls:

50.0ms	(/ (- t x) (- a z))
201.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
127.0ms	(* (- y z) (/ (- t x) (- a z)))

series552.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- t x) (- a z))
252.0ms	(+ x (* (- y z) (/ (- t x) (- a z))))
240.0ms	(* (- y z) (/ (- t x) (- a z)))

simplify2.2s

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
2	2864
1	687
0	241

prune983.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
2.7b	(+ x (/ (- y z) (/ (- a z) (- t x))))
6.0b	(/ (- y z) (/ (- a z) (- t x)))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
329×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
115×	`add-cube-cbrt`
106×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
29×	`associate-/r/`
15×	`associate-/l*`
10×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `clear-num` `frac-2neg` `div-sub` `insert-posit16`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 291

Calls

3 calls:

50.0ms	(/ (- a z) (- t x))
148.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
82.0ms	(/ (- y z) (/ (- a z) (- t x)))

series757.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (- a z) (- t x))
244.0ms	(+ x (/ (- y z) (/ (- a z) (- t x))))
427.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify2.6s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
2	3733
1	1203
0	368

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.7b	(+ x (* (/ (- y z) (- a z)) (- t x)))
2.6b	(* (/ (- y z) (- a z)) (- t x))

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt`
95×	`*-un-lft-identity`
51×	`times-frac`
33×	`add-cube-cbrt`
32×	`associate-l`
30×	`frac-times`
29×	`distribute-lft-out--` `difference-of-squares`
22×	`flip3--` `flip--`
20×	`associate-/r` `associate-/l`
15×	`associate-*l/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l/`
5×	`pow1` `associate-r` `add-log-exp`
4×	`distribute-rgt-in` `associate-+r+` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `associate-/r/`
3×	`insert-posit16`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `*-commutative` `flip-+`

Counts

3 → 174

Calls

3 calls:

27.0ms	(/ (- y z) (- a z))
188.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
125.0ms	(* (/ (- y z) (- a z)) (- t x))

series745.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(/ (- y z) (- a z))
235.0ms	(+ x (* (/ (- y z) (- a z)) (- t x)))
424.0ms	(* (/ (- y z) (- a z)) (- t x))

simplify2.3s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	3103
1	835
0	253

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.7b	(+ x (/ (- t x) (/ (- a z) (- y z))))
2.8b	(/ (- t x) (/ (- a z) (- y z)))

rewrite299.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
329×	`*-un-lft-identity`
327×	`add-sqr-sqrt`
115×	`add-cube-cbrt`
106×	`distribute-lft-out--` `difference-of-squares`
41×	`associate-/r*`
29×	`associate-/r/`
15×	`associate-/l*`
10×	`flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
8×	`div-inv`
6×	`associate-/l/`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `clear-num` `frac-2neg` `div-sub` `insert-posit16`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 291

Calls

3 calls:

26.0ms	(/ (- a z) (- y z))
167.0ms	(+ x (/ (- t x) (/ (- a z) (- y z))))
86.0ms	(/ (- t x) (/ (- a z) (- y z)))

series594.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- a z) (- y z))
244.0ms	(+ x (/ (- t x) (/ (- a z) (- y z))))
281.0ms	(/ (- t x) (/ (- a z) (- y z)))

simplify2.4s

Counts

300 → 300

Iterations

Iter	Nodes
done	5000
2	3811
1	1203
0	369

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.0b

regimes574.0ms

Accuracy

15.1% (6.5b remaining)

Error of 10.6b against oracle of 4.0b and baseline of 11.7b

bsearch206.0ms

Steps

Iters	Range		Point
10	6.145134248778063e-131	5.943651067144963e-117	1.666153532327582e-129
6	-6.177292700139884e-248	-4.556863903399201e-249	-6.073710910444692e-248

simplify11.0ms

Iterations

Iter	Nodes
done	36
1	36
0	29

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	7739×	body	80	valid
213.0ms	486×	body	640	valid
153.0ms	410×	body	320	valid
132.0ms	277×	body	1280	valid
54.0ms	279×	body	160	valid
4.0ms	6×	body	2560	valid