Details

sample41.0ms

Algorithm

intervals

Results

19.0ms	111×	body	1280	valid
6.0ms	77×	body	640	valid
3.0ms	360×	pre	80	true
2.0ms	40×	body	320	valid
1.0ms	107×	body	80	valid
1.0ms	25×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2
done	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize3.0ms

Local error

Found 1 expressions with local error:

6.8b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

12.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify60.0ms

Counts

31 → 31

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	140	205
1	403	130
2	2063	120
3	5003	90
done	5003	90

prune52.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))

simplify33.0ms

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	45	74
1	152	65
2	948	65
3	5001	65
done	5001	65

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
2.9b	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
3×	`pow1` `log-prod` `exp-sum`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 27

Calls

2 calls:

0.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
3.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

series58.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))
31.0ms	(exp (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))

simplify35.0ms

Counts

33 → 33

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	79	197
1	205	179
2	1034	170
3	5001	164
done	5001	164

prune79.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
0.2b	(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
1.6b	(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
2.7b	(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
24×	`add-sqr-sqrt`
20×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
9×	`swap-sqr`
8×	`log-pow`
7×	`pow-unpow` `pow1/3` `associate-r` `associate-l` `add-log-exp`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `unswap-sqr`
3×	`unpow-prod-down` `pow-pow`
2×	`exp-prod` `exp-to-pow` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
13.0ms	(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
5.0ms	(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
12.0ms	(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))
134.0ms	(* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))
176.0ms	(exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x))))))
325.0ms	(pow (exp (* (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))) (cbrt (log (fma 1/2 (pow x 2) (fma 1/6 (pow x 3) x)))))

simplify63.0ms

Counts

110 → 110

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1536	3124
1	5001	2882
done	5001	2882

prune455.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4
1	9	4
done	9	4

end0.0ms

sample1.1s

Algorithm

intervals

Results

462.0ms	3330×	body	1280	valid
213.0ms	2584×	body	640	valid
91.0ms	11905×	pre	80	true
66.0ms	1233×	body	320	valid
43.0ms	4081×	body	80	valid
21.0ms	677×	body	160	valid