Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	257×	body	80	valid
8.0ms	312×	body	80	nan

simplify1.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	4
1	4
0	3

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite8.0ms

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` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 27

Calls

1 calls:

7.0ms

(* x (log x))

series303.0ms

Counts

1 → 3

Calls

1 calls:

303.0ms

(* x (log x))

simplify1.7s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
3	1676
2	293
1	109
0	55

prune143.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-r`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `sum-log` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

33.0ms	(* (log (cbrt x)) (+ x x))
26.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.5s

Counts

4 → 12

Calls

4 calls:

455.0ms	(* (log (cbrt x)) (+ x x))
469.0ms	(+ (* (log (cbrt x)) (+ x x)) (* x (log (cbrt x))))
313.0ms	(cbrt x)
289.0ms	(cbrt x)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1678
1	368
0	139

prune455.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
8.0ms	(* x (log (cbrt x)))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

913.0ms	(fma (log (cbrt x)) (+ x x) (* x (log (cbrt x))))
373.0ms	(* x (log (cbrt x)))
252.0ms	(cbrt x)
222.0ms	(cbrt x)

simplify2.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4295
2	632
1	200
0	98

prune389.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (log (cbrt x)) (+ x x) (* x (log (pow (/ 1 x) -1/3))))
0.2b	(* x (log (pow (/ 1 x) -1/3)))
0.6b	(cbrt x)
5.1b	(pow (/ 1 x) -1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
34×	`log-prod`
33×	`add-sqr-sqrt`
31×	`*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac`
17×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `div-inv` `sqr-pow`
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` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

0.0ms	(fma (log (cbrt x)) (+ x x) (* x (log (pow (/ 1 x) -1/3))))
17.0ms	(* x (log (pow (/ 1 x) -1/3)))
1.0ms	(cbrt x)
6.0ms	(pow (/ 1 x) -1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

906.0ms	(fma (log (cbrt x)) (+ x x) (* x (log (pow (/ 1 x) -1/3))))
422.0ms	(* x (log (pow (/ 1 x) -1/3)))
282.0ms	(cbrt x)
257.0ms	(pow (/ 1 x) -1/3)

simplify985.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1977
1	576
0	230

prune938.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes122.0ms

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	14
1	14
0	11

end0.0ms

sample764.0ms

Algorithm

intervals

Results

299.0ms	8034×	body	80	valid
167.0ms	8039×	body	80	nan