Details

sample145.0ms

Algorithm

intervals

Results

64.0ms	107×	body	1280	valid
30.0ms	79×	body	640	valid
16.0ms	282×	body	80	valid
8.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	26	8
3	34	8
4	36	8
done	36	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize14.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite34.0ms

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:

32.0ms

(- (exp x) (exp (- x)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

(- (exp x) (exp (- x)))

simplify4.2s

Counts

31 → 31

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	73	547
1	1023	372
done	5002	328

prune140.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 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 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

series88.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	26	218
1	85	212
2	969	186
done	5000	186

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
0.0b	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
39.1b	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `fma-udef` `rem-cube-cbrt`

Counts

3 → 58

Calls

3 calls:

1.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
6.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
5.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

series285.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x)))
98.0ms	(pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3)
102.0ms	(cbrt (pow (fma 1/3 (pow x 3) (fma 1/60 (pow x 5) (* 2 x))) 3))

simplify1.0s

Counts

67 → 67

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	92	1506
1	522	1174
done	5000	1134

prune363.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp x))
0.0b	(cbrt (exp x))
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
6.3b	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 78

Calls

4 calls:

3.0ms	(cbrt (exp x))
2.0ms	(cbrt (exp x))
40.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
1.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

series806.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (exp x))
111.0ms	(cbrt (exp x))
118.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
478.0ms	(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (exp (- x))))

simplify5.7s

Counts

90 → 90

Iterations

Useful iterations: done (5.7s)

Iter	Nodes	Cost
0	93	875
1	468	800
done	5000	587

prune303.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

51.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.6b

bsearch65.0ms

Steps

Iters	Range		Point
8	-0.7718806003288846	-0.0008047768791668974	-0.01738733746307203

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	42
1	30	42
done	30	42

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	3368×	body	1280	valid
662.0ms	2481×	body	640	valid
500.0ms	8069×	body	80	valid
291.0ms	1250×	body	320	valid
66.0ms	636×	body	160	valid