Details

sample108.0ms

Algorithm

intervals

Results

22.0ms	211×	body	80	valid
16.0ms	30×	body	640	valid
13.0ms	15×	body	1280	valid
8.0ms	100×	body	80	nan
7.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	2018
6	565
5	220
4	94
3	44
2	25
1	18
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite351.0ms

Algorithm

rewrite-expression-head

Rules

90×	`log-prod`
79×	`*-un-lft-identity`
60×	`times-frac`
49×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
16×	`distribute-lft-out`
10×	`associate-/r/`
9×	`add-exp-log`
8×	`pow1` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `flip-+`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `associate-l`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `exp-prod` `sum-log` `exp-to-pow` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 157

Calls

4 calls:

224.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
51.0ms	(exp (* y (log (/ y (+ z y)))))
51.0ms	(* y (log (/ y (+ z y))))
9.0ms	(log (/ y (+ z y)))

series887.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
471.0ms	(exp (* y (log (/ y (+ z y)))))
150.0ms	(* y (log (/ y (+ z y))))
102.0ms	(log (/ y (+ z y)))

simplify5.9s

Counts

169 → 169

Iterations

Iter	Nodes
done	5000
3	3763
2	1297
1	607
0	275

prune2.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
8.1b	(log (/ y (+ z y)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
36×	`log-prod` `times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-up`
11×	`distribute-lft-out`
9×	`add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
4×	`expm1-log1p-u` `pow-unpow` `associate-/r*` `pow-pow` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`exp-prod` `unpow-prod-down` `fma-def` `div-inv` `associate-/l*`
2×	`log-div` `div-exp` `rem-log-exp` `log-pow`
1×	`pow-to-exp` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `pow-exp` `pow-sub` `sqr-pow`

Counts

4 → 129

Calls

4 calls:

21.0ms	(/ y (+ z y))
140.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
19.0ms	(pow (exp y) (log (/ y (+ z y))))
18.0ms	(log (/ y (+ z y)))

series726.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ y (+ z y))
211.0ms	(+ x (/ (pow (exp y) (log (/ y (+ z y)))) y))
337.0ms	(pow (exp y) (log (/ y (+ z y))))
91.0ms	(log (/ y (+ z y)))

simplify3.2s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
2	1562
1	577
0	213

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize240.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
8.1b	(log (/ y (+ z y)))
8.1b	(log (/ y (+ z y)))
8.1b	(log (/ y (+ z y)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
10×	`distribute-lft-out`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`cbrt-prod` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 113

Calls

4 calls:

115.0ms	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
19.0ms	(log (/ y (+ z y)))
18.0ms	(log (/ y (+ z y)))
19.0ms	(log (/ y (+ z y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.0s	(cbrt (+ x (/ (pow (exp y) (log (/ y (+ z y)))) y)))
95.0ms	(log (/ y (+ z y)))
122.0ms	(log (/ y (+ z y)))
107.0ms	(log (/ y (+ z y)))

simplify4.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5001
3	2522
2	810
1	345
0	157

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`fma-def`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`neg-sub0` `exp-neg` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `flip-+` `distribute-lft-out`

Counts

2 → 60

Calls

2 calls:

18.0ms	(/ (exp (- z)) y)
63.0ms	(+ (/ (exp (- z)) y) x)

series121.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ (exp (- z)) y)
79.0ms	(+ (/ (exp (- z)) y) x)

simplify3.5s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	1734
2	559
1	208
0	93

prune918.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes622.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	6481×	body	80	valid
606.0ms	788×	body	1280	valid
427.0ms	947×	body	640	valid
203.0ms	2948×	body	80	nan
196.0ms	587×	body	320	valid
63.0ms	337×	body	160	valid