Details

sample171.0ms

Algorithm

intervals

Results

70.0ms	104×	body	1280	valid
37.0ms	84×	body	640	valid
32.0ms	297×	body	80	valid
11.0ms	37×	body	320	valid
3.0ms	16×	body	160	valid

simplify41.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 56.6b

localize25.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (exp x) (exp (- x)))

rewrite15.0ms

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×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 29

Calls

1 calls:

14.0ms

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

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify2.1s

Counts

32 → 32

Iterations

Iter	Nodes
4	4236
3	1107
2	407
1	171
0	74

prune238.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/3 (* x x) 2)
0.0b	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
0.1b	(* (pow x 5) 1/60)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`add-exp-log`
7×	`associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`expm1-log1p-u` `pow1` `associate-r` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 50

Calls

3 calls:

0.0ms	(fma 1/3 (* x x) 2)
0.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
9.0ms	(* (pow x 5) 1/60)

series267.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(fma 1/3 (* x x) 2)
108.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
72.0ms	(* (pow x 5) 1/60)

simplify3.3s

Counts

59 → 59

Iterations

Iter	Nodes
4	6716
3	1488
2	435
1	172
0	86

prune540.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/3 (* x x) 2)
0.0b	(+ (* x (fma 1/3 (* x x) 2)) (* (pow x 5) 1/60))
0.0b	(* x (fma 1/3 (* x x) 2))
0.1b	(* (pow x 5) 1/60)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
6×	`pow1` `associate-r` `add-log-exp`
5×	`fma-udef`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `*-commutative` `cbrt-unprod` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `fma-def` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

4 → 79

Calls

4 calls:

0.0ms	(fma 1/3 (* x x) 2)
14.0ms	(+ (* x (fma 1/3 (* x x) 2)) (* (pow x 5) 1/60))
11.0ms	(* x (fma 1/3 (* x x) 2))
16.0ms	(* (pow x 5) 1/60)

series392.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma 1/3 (* x x) 2)
79.0ms	(+ (* x (fma 1/3 (* x x) 2)) (* (pow x 5) 1/60))
128.0ms	(* x (fma 1/3 (* x x) 2))
95.0ms	(* (pow x 5) 1/60)

simplify1.3s

Counts

91 → 91

Iterations

Iter	Nodes
3	3590
2	830
1	286
0	120

prune924.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 1/60)
1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))
1.0b	(cbrt (fma 1/3 (* x x) 2))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `add-exp-log`
7×	`associate-l`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `unpow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `prod-exp` `unswap-sqr`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 70

Calls

4 calls:

16.0ms	(* (pow x 5) 1/60)
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))
1.0ms	(cbrt (fma 1/3 (* x x) 2))

series553.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (pow x 5) 1/60)
152.0ms	(cbrt (fma 1/3 (* x x) 2))
160.0ms	(cbrt (fma 1/3 (* x x) 2))
182.0ms	(cbrt (fma 1/3 (* x x) 2))

simplify644.0ms

Counts

82 → 82

Iterations

Iter	Nodes
3	2091
2	627
1	229
0	107

prune875.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes124.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	15
1	15
0	12

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.7s	3437×	body	1280	valid
1.0s	2460×	body	640	valid
526.0ms	8214×	body	80	valid
334.0ms	1212×	body	320	valid
94.0ms	612×	body	160	valid