Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`expm1-log1p-u` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

12.0ms

(+ x (/ 1.0 3.0))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(+ x (/ 1.0 3.0))

simplify1.8s

Counts

20 → 20

Iterations

Iter	Nodes
done	5001
4	1902
3	626
2	226
1	83
0	30

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
0.0b	(+ x (/ 1.0 3.0))
0.1b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
30×	`sqrt-prod`
20×	`pow1`
15×	`add-cube-cbrt`
14×	`sqrt-div`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `sum-log` `associate-l/` `associate-r/` `hypot-def`
1×	`pow2` `rem-sqrt-square` `rem-square-sqrt` `times-frac` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

14.0ms	(sqrt (+ x (/ 1.0 3.0)))
10.0ms	(+ x (/ 1.0 3.0))
16.0ms	(+ x (/ 1.0 3.0))
92.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series113.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sqrt (+ x (/ 1.0 3.0)))
26.0ms	(+ x (/ 1.0 3.0))
19.0ms	(+ x (/ 1.0 3.0))
23.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify1.2s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1170
1	265
0	115

prune518.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (+ x (/ 1.0 3.0)))
0.0b	(+ x (/ 1.0 3.0))
1.5b	(exp (log (+ x (/ 1.0 3.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
8×	`log-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`log-div` `exp-prod` `exp-sum` `add-exp-log`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `sum-log` `rem-log-exp` `rem-exp-log`

Counts

3 → 54

Calls

3 calls:

14.0ms	(log (+ x (/ 1.0 3.0)))
20.0ms	(+ x (/ 1.0 3.0))
19.0ms	(exp (log (+ x (/ 1.0 3.0))))

series117.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(log (+ x (/ 1.0 3.0)))
30.0ms	(+ x (/ 1.0 3.0))
32.0ms	(exp (log (+ x (/ 1.0 3.0))))

simplify1.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
3	3438
2	671
1	203
0	93

prune268.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
0.0b	(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
0.1b	(* x (* x x))
20.0b	(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`fma-udef`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `cube-unmult` `div-exp` `associate-r` `pow-sqr` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
0.0ms	(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
17.0ms	(* x (* x x))
7.0ms	(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x)))
40.0ms	(fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0)))
64.0ms	(* x (* x x))
256.0ms	(/ (fma (/ 1.0 3.0) (* (/ 1.0 3.0) (/ 1.0 3.0)) (* x (* x x))) (fma x (- x (/ 1.0 3.0)) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify944.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1099
1	238
0	111

prune410.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample416.0ms

Algorithm

intervals

Results

215.0ms

8000×

body

valid