Details

sample93.0ms

Algorithm

intervals

Results

24.0ms	27×	body	1280	valid
23.0ms	202×	body	80	valid
14.0ms	26×	body	640	valid
9.0ms	99×	body	80	nan
5.0ms	14×	body	320	valid
2.0ms	8×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
7	1851
6	540
5	215
4	92
3	44
2	25
1	18
0	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
10.6b	(log (/ y (+ z y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube` `associate-/r/`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-/r` `associate-r*` `insert-posit16` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

28.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms	(/ y (+ z y))
13.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
43.0ms	(/ y (+ z y))
109.0ms	(* y (log (/ y (+ z y))))
54.0ms	(log (/ y (+ z y)))

simplify658.0ms

Counts

145 → 145

Iterations

Iter	Nodes
done	2001
2	1054
1	450
0	203

prune594.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+ x (/ (exp 0) y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(+ x (/ (exp 0) y))

simplify657.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	2010
3	1316
2	289
1	80
0	31

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ (exp (- z)) y) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

20.0ms

(+ (/ (exp (- z)) y) x)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(+ (/ (exp (- z)) y) x)

simplify869.0ms

Counts

16 → 16

Iterations

Iter	Nodes
done	2000
3	1997
2	384
1	120
0	45

prune50.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (exp 0) y))
0.3b	(* (/ (exp 0) y) (/ (exp 0) y))
2.2b	(- (* x x) (* (/ (exp 0) y) (/ (exp 0) y)))
27.6b	(/ (- (* x x) (* (/ (exp 0) y) (/ (exp 0) y))) (- x (/ (exp 0) y)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
70×	`times-frac`
56×	`*-un-lft-identity`
44×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*` `distribute-lft-out--`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `cbrt-unprod` `insert-posit16` `flip--` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `frac-2neg` `pow-plus` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 150

Calls

4 calls:

8.0ms	(- x (/ (exp 0) y))
29.0ms	(* (/ (exp 0) y) (/ (exp 0) y))
12.0ms	(- (* x x) (* (/ (exp 0) y) (/ (exp 0) y)))
41.0ms	(/ (- (* x x) (* (/ (exp 0) y) (/ (exp 0) y))) (- x (/ (exp 0) y)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- x (/ (exp 0) y))
22.0ms	(* (/ (exp 0) y) (/ (exp 0) y))
42.0ms	(- (* x x) (* (/ (exp 0) y) (/ (exp 0) y)))
71.0ms	(/ (- (* x x) (* (/ (exp 0) y) (/ (exp 0) y))) (- x (/ (exp 0) y)))

simplify541.0ms

Counts

162 → 162

Iterations

Iter	Nodes
done	2000
1	702
0	226

prune625.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

66.9% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 2.7b

bsearch45.0ms

Steps

Iters	Range		Point
6	2.3966671030907732e-20	1.4814643851382119e-19	1.4594586256060078e-19

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.6s

Algorithm

intervals

Results

965.0ms	6494×	body	80	valid
710.0ms	784×	body	1280	valid
643.0ms	935×	body	640	valid
401.0ms	330×	body	160	valid
301.0ms	3066×	body	80	nan
281.0ms	556×	body	320	valid