Details

sample100.0ms

Algorithm

intervals

Results

20.0ms	205×	body	80	valid
18.0ms	36×	body	640	valid
16.0ms	19×	body	1280	valid
8.0ms	25×	body	320	valid
6.0ms	76×	body	80	nan
2.0ms	9×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	52	11
4	110	11
5	249	11
6	590	11
7	1855	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize13.0ms

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))))
8.1b	(log (/ y (+ z y)))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `div-inv`
3×	`fma-def` `associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

102.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
20.0ms	(/ y (+ z y))
22.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
47.0ms	(/ y (+ z y))
113.0ms	(* y (log (/ y (+ z y))))
82.0ms	(log (/ y (+ z y)))

simplify1.4s

Counts

152 → 152

Iterations

Useful iterations: 3 (807.0ms)

Iter	Nodes	Cost
0	207	1965
1	396	1858
2	915	1711
3	2400	1662
done	5001	1662

prune478.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.5b	(log (/ (cbrt y) (cbrt (+ z y))))
3.5b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
14.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
15.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series678.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt y)
253.0ms	(cbrt y)
103.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
114.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.6s

Counts

160 → 160

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	177	2306
1	320	2146
2	578	2060
3	1128	1986
4	2493	1982
done	5002	1976

prune862.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
5.1b	(pow (/ y (+ z y)) y)
5.1b	(pow (/ y (+ z y)) y)
5.1b	(pow (/ y (+ z y)) y)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
52×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
9×	`pow-unpow`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp` `div-inv` `sqr-pow`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 121

Calls

4 calls:

83.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
29.0ms	(pow (/ y (+ z y)) y)
22.0ms	(pow (/ y (+ z y)) y)
22.0ms	(pow (/ y (+ z y)) y)

series1.6s

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt (+ x (/ (pow (/ y (+ z y)) y) y)))
315.0ms	(pow (/ y (+ z y)) y)
595.0ms	(pow (/ y (+ z y)) y)
347.0ms	(pow (/ y (+ z y)) y)

simplify2.4s

Counts

133 → 133

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	180	2006
1	439	1867
2	1062	1809
3	3176	1783
done	5000	1779

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

13×	`fma-def`
10×	`*-un-lft-identity`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `distribute-lft-out`

Counts

1 → 27

Calls

1 calls:

48.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify2.4s

Counts

30 → 30

Iterations

Useful iterations: 3 (212.0ms)

Iter	Nodes	Cost
0	46	198
1	115	193
2	284	178
3	727	171
4	2642	171
done	5000	171

prune113.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.2s	739×	body	1280	valid
631.0ms	6463×	body	80	valid
440.0ms	975×	body	640	valid
254.0ms	3145×	body	80	nan
216.0ms	592×	body	320	valid
151.0ms	336×	body	160	valid