Details

sample75.0ms

Algorithm

intervals

Results

47.0ms

470×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	4087
3	873
2	228
1	69
0	28

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite848.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-cbrt-cube` `add-exp-log`
53×	`pow1`
45×	`prod-exp` `cbrt-unprod`
27×	`associate-l`
24×	`pow-prod-down`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 127

Calls

4 calls:

30.0ms	(* (* (fabs x) (fabs x)) (fabs x))
747.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
63.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series202.0ms

Counts

4 → 10

Calls

4 calls:

46.0ms	(* (* (fabs x) (fabs x)) (fabs x))
107.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify4.3s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	4411
1	645
0	216

prune761.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 46

Calls

4 calls:

2.0ms	(sqrt PI)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify2.6s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
7	1556
6	559
5	256
4	150
3	103
2	70
1	49
0	37

prune508.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (fabs x))
0.1b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-cbrt-cube` `add-exp-log`
42×	`pow1`
27×	`associate-l` `prod-exp` `cbrt-unprod`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`pow-prod-down`
6×	`cbrt-undiv` `pow-plus` `div-exp` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `associate-*l/` `pow-sqr` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow3` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

27.0ms	(* (* (fabs x) (fabs x)) (fabs x))
62.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
68.0ms	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series165.0ms

Counts

4 → 10

Calls

4 calls:

45.0ms	(* (* (fabs x) (fabs x)) (fabs x))
61.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
58.0ms	(* (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify3.1s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	3436
1	537
0	187

prune811.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fabs x))
0.6b	(cbrt (fabs x))
0.6b	(cbrt (fabs x))
1.0b	(sqrt PI)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (fabs x))
2.0ms	(cbrt (fabs x))
1.0ms	(cbrt (fabs x))
2.0ms	(sqrt PI)

series470.0ms

Counts

4 → 10

Calls

4 calls:

193.0ms	(cbrt (fabs x))
134.0ms	(cbrt (fabs x))
142.0ms	(cbrt (fabs x))
0.0ms	(sqrt PI)

simplify8.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
4	4864
3	500
2	137
1	56
0	35

prune446.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	49
1	49
0	33

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.7s

13946×

body

valid