Details

sample95.0ms

Algorithm

intervals

Results

23.0ms	211×	body	80	valid
18.0ms	30×	body	640	valid
14.0ms	15×	body	1280	valid
8.0ms	100×	body	80	nan
7.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize42.0ms

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)))

rewrite203.0ms

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:

139.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
31.0ms	(exp (* y (log (/ y (+ z y)))))
21.0ms	(* y (log (/ y (+ z y))))
7.0ms	(log (/ y (+ z y)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
334.0ms	(exp (* y (log (/ y (+ z y)))))
118.0ms	(* y (log (/ y (+ z y))))
88.0ms	(log (/ y (+ z y)))

simplify2.9s

Counts

169 → 169

Iterations

Iter	Nodes
done	5001
3	3740
2	1288
1	601
0	275

prune929.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))
3.7b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

144×	`log-prod`
139×	`cbrt-prod`
126×	`times-frac`
124×	`*-un-lft-identity`
86×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`distribute-lft-out`
13×	`add-exp-log`
8×	`cbrt-div`
7×	`pow1`
6×	`rem-log-exp` `associate-/r/`
4×	`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`
1×	`pow1/3`

Counts

4 → 203

Calls

4 calls:

8.0ms	(cbrt (+ z y))
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (+ z y))
124.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
103.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
110.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.8s

Counts

215 → 215

Iterations

Iter	Nodes
done	5000
3	2038
2	728
1	369
0	195

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

21.0ms	(/ (exp (- z)) y)
20.0ms	(+ x (/ (exp (- z)) y))

series53.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp (- z)) y)
26.0ms	(+ x (/ (exp (- z)) y))

simplify1.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	1899
2	584
1	202
0	91

prune245.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `add-cube-cbrt`
22×	`sqrt-pow1`
20×	`exp-prod`
18×	`times-frac` `sqrt-prod`
6×	`distribute-lft-neg-in` `pow1` `distribute-rgt-neg-in` `add-cbrt-cube` `sqrt-div` `add-exp-log` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`neg-sub0` `exp-neg` `associate-/r*` `fma-def` `exp-diff`
2×	`rem-sqrt-square` `neg-mul-1` `pow1/2` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`

Counts

4 → 117

Calls

4 calls:

13.0ms	(+ x (* (sqrt (exp (- z))) (/ (sqrt (exp (- z))) y)))
13.0ms	(sqrt (exp (- z)))
13.0ms	(sqrt (exp (- z)))
32.0ms	(/ (sqrt (exp (- z))) y)

series138.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (* (sqrt (exp (- z))) (/ (sqrt (exp (- z))) y)))
27.0ms	(sqrt (exp (- z)))
28.0ms	(sqrt (exp (- z)))
43.0ms	(/ (sqrt (exp (- z))) y)

simplify2.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5005
3	2490
2	749
1	287
0	145

prune719.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.2s

Algorithm

intervals

Results

719.0ms	6481×	body	80	valid
647.0ms	2948×	body	80	nan
593.0ms	947×	body	640	valid
593.0ms	788×	body	1280	valid
183.0ms	587×	body	320	valid
107.0ms	337×	body	160	valid