Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 17

Calls

1 calls:

23.0ms

(+ x (/ 1.0 3.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ x (/ 1.0 3.0))

simplify17.2s

Counts

20 → 20

Iterations

Iter	Nodes
done	5000
5	4305
4	1465
3	558
2	226
1	83
0	30

prune420.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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))
0.2b	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

rewrite368.0ms

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×	`add-exp-log` `fma-def` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log` `hypot-def`
1×	`pow2` `rem-sqrt-square` `times-frac` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

53.0ms	(sqrt (+ x (/ 1.0 3.0)))
23.0ms	(+ x (/ 1.0 3.0))
22.0ms	(+ x (/ 1.0 3.0))
260.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sqrt (+ x (/ 1.0 3.0)))
29.0ms	(+ x (/ 1.0 3.0))
28.0ms	(+ x (/ 1.0 3.0))
32.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (sqrt (+ x (/ 1.0 3.0))))

simplify5.8s

Counts

130 → 130

Iterations

Iter	Nodes
done	5003
3	1922
2	634
1	260
0	115

prune950.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))
0.0b	(log1p (sqrt (+ x (/ 1.0 3.0))))
0.2b	(* (sqrt (+ x (/ 1.0 3.0))) (expm1 (log1p (sqrt (+ x (/ 1.0 3.0))))))
1.4b	(expm1 (log1p (sqrt (+ x (/ 1.0 3.0)))))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

21.0ms	(+ x (/ 1.0 3.0))
1.0ms	(log1p (sqrt (+ x (/ 1.0 3.0))))
164.0ms	(* (sqrt (+ x (/ 1.0 3.0))) (expm1 (log1p (sqrt (+ x (/ 1.0 3.0))))))
120.0ms	(expm1 (log1p (sqrt (+ x (/ 1.0 3.0)))))

series8.5s

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ x (/ 1.0 3.0))
230.0ms	(log1p (sqrt (+ x (/ 1.0 3.0))))
7.8s	(* (sqrt (+ x (/ 1.0 3.0))) (expm1 (log1p (sqrt (+ x (/ 1.0 3.0))))))
402.0ms	(expm1 (log1p (sqrt (+ x (/ 1.0 3.0)))))

simplify5.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5004
3	3526
2	1102
1	303
0	123

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes319.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

754.0ms

8000×

body

valid