Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
13.0ms	234×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	1279
18	1279
17	1243
16	1006
15	738
14	642
13	620
12	619
11	547
10	412
9	263
8	180
7	133
6	110
5	76
4	45
3	25
2	18
1	14
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.2b	(* x (log (/ x y)))
18.4b	(log (/ x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `add-cube-cbrt`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`log-div` `sub-neg` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

17.0ms	(- (* x (log (/ x y))) z)
12.0ms	(* x (log (/ x y)))
2.0ms	(log (/ x y))

series208.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* x (log (/ x y))) z)
64.0ms	(* x (log (/ x y)))
51.0ms	(log (/ x y))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	3948
2	1099
1	455
0	218

prune626.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.6b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `div-exp` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series841.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(cbrt x)
251.0ms	(cbrt x)
203.0ms	(cbrt x)
121.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.0s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
4	3195
3	879
2	312
1	145
0	77

prune425.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt y)
260.0ms	(cbrt x)
227.0ms	(cbrt x)
237.0ms	(cbrt x)

simplify1.5s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
5	2845
4	1001
3	412
2	176
1	81
0	48

prune604.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(+ (- (* (log (* (cbrt y) (cbrt y))) x)) (* (log (/ x (cbrt y))) x))
4.7b	(log (/ x (cbrt y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`cbrt-prod`
8×	`add-log-exp`
7×	`add-exp-log`
6×	`fma-def`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
2×	`distribute-lft-neg-in` `sum-log` `pow1/3` `rem-log-exp`
1×	`neg-sub0` `+-commutative` `log-div` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `distribute-rgt-out` `div-exp` `neg-log` `log-pow` `associate-+l-` `flip-+` `div-inv`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
15.0ms	(+ (- (* (log (* (cbrt y) (cbrt y))) x)) (* (log (/ x (cbrt y))) x))
3.0ms	(log (/ x (cbrt y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt y)
357.0ms	(cbrt y)
427.0ms	(+ (- (* (log (* (cbrt y) (cbrt y))) x)) (* (log (/ x (cbrt y))) x))
207.0ms	(log (/ x (cbrt y)))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1206
1	420
0	181

prune538.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes319.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	15
1	15
0	12

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	8219×	body	80	nan
900.0ms	8040×	body	80	valid