Details

sample46.0ms

Algorithm

intervals

Results

19.0ms	303×	body	80	nan
14.0ms	257×	body	80	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-l` `add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

11.0ms

(* x (log x))

series286.0ms

Counts

1 → 3

Calls

1 calls:

286.0ms

(* x (log x))

simplify2.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
4	2284
3	557
2	222
1	102
0	56

prune122.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt x)) x)
0.3b	(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`associate-+l+` `log-pow`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `fma-def` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

7.0ms	(* (log (cbrt x)) x)
13.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

541.0ms	(* (log (cbrt x)) x)
529.0ms	(+ (* (log (cbrt x)) (+ x x)) (* (log (cbrt x)) x))
240.0ms	(cbrt x)
255.0ms	(cbrt x)

simplify2.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	990
1	258
0	93

prune431.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (log (cbrt x)) (+ x x) (* (log (cbrt x)) x))
0.3b	(* (log (cbrt x)) x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 62

Calls

4 calls:

0.0ms	(fma (log (cbrt x)) (+ x x) (* (log (cbrt x)) x))
7.0ms	(* (log (cbrt x)) x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series2.0s

Counts

4 → 12

Calls

4 calls:

906.0ms	(fma (log (cbrt x)) (+ x x) (* (log (cbrt x)) x))
402.0ms	(* (log (cbrt x)) x)
329.0ms	(cbrt x)
323.0ms	(cbrt x)

simplify1.7s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1310
2	431
1	160
0	78

prune420.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (log (cbrt x)) (+ x x) (* (log (pow (/ 1 x) -1/3)) x))
0.3b	(* (log (pow (/ 1 x) -1/3)) x)
0.6b	(cbrt x)
4.9b	(pow (/ 1 x) -1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r`
2×	`div-exp`
1×	`pow-to-exp` `rec-exp` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `pow-flip` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (log (cbrt x)) (+ x x) (* (log (pow (/ 1 x) -1/3)) x))
7.0ms	(* (log (pow (/ 1 x) -1/3)) x)
1.0ms	(cbrt x)
4.0ms	(pow (/ 1 x) -1/3)

series2.0s

Counts

4 → 12

Calls

4 calls:

988.0ms	(fma (log (cbrt x)) (+ x x) (* (log (pow (/ 1 x) -1/3)) x))
480.0ms	(* (log (pow (/ 1 x) -1/3)) x)
283.0ms	(cbrt x)
251.0ms	(pow (/ 1 x) -1/3)

simplify2.3s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
3	3299
2	1049
1	402
0	162

prune370.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

844.0ms	8027×	body	80	valid
398.0ms	8181×	body	80	nan