Details

sample157.0ms

Algorithm

intervals

Results

69.0ms	105×	body	1280	valid
30.0ms	72×	body	640	valid
24.0ms	239×	body	80	valid
14.0ms	50×	body	320	valid
3.0ms	18×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize27.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (- x)))

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×	`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:

13.0ms

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

series68.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify3.2s

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
4	4578
3	1173
2	419
1	171
0	74

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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)

rewrite13.0ms

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))
12.0ms	(* (pow x 5) 1/60)

series263.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma 1/3 (* x x) 2)
82.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
96.0ms	(* (pow x 5) 1/60)

simplify1.6s

Counts

59 → 59

Iterations

Iter	Nodes
done	5003
3	1674
2	445
1	172
0	86

prune334.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
0.1b	(* (pow x 5) 1/60)
0.1b	(* (pow x 5) 1/60)
0.3b	(* (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
20×	`associate-l`
19×	`pow1`
18×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
16×	`add-exp-log`
12×	`associate-r`
10×	`add-cbrt-cube` `unswap-sqr`
8×	`unpow-prod-down` `sqrt-pow1` `pow1/2` `swap-sqr`
7×	`prod-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-prod-down` `pow-sqr` `*-commutative` `cbrt-unprod`
2×	`pow-to-exp` `pow-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `fma-udef`

Counts

4 → 119

Calls

4 calls:

0.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
10.0ms	(* (pow x 5) 1/60)
16.0ms	(* (pow x 5) 1/60)
19.0ms	(* (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))
106.0ms	(* (pow x 5) 1/60)
67.0ms	(* (pow x 5) 1/60)
71.0ms	(* (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (sqrt (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

simplify2.3s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	2058
2	501
1	220
0	117

prune717.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow x 5) 1/60)
0.1b	(* (pow x 5) 1/60)
0.1b	(* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)))
37.0b	(cbrt (* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
22×	`add-sqr-sqrt`
19×	`add-exp-log`
15×	`associate-l`
13×	`add-cbrt-cube`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r` `prod-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`pow-plus` `pow-prod-up`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow2` `pow-to-exp` `pow3` `pow-exp` `pow-sqr` `fma-udef`
1×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `rem-cbrt-cube`

Counts

4 → 102

Calls

4 calls:

8.0ms	(* (pow x 5) 1/60)
8.0ms	(* (pow x 5) 1/60)
27.0ms	(* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)))
14.0ms	(cbrt (* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

series341.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (pow x 5) 1/60)
56.0ms	(* (pow x 5) 1/60)
133.0ms	(* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)))
86.0ms	(cbrt (* (* (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60)) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))) (fma x (fma 1/3 (* x x) 2) (* (pow x 5) 1/60))))

simplify2.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	3090
2	821
1	299
0	132

prune519.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes186.0ms

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
done	12
1	12
0	11

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.2s	3382×	body	1280	valid
1.1s	2430×	body	640	valid
555.0ms	7766×	body	80	valid
317.0ms	1259×	body	320	valid
178.0ms	660×	body	160	valid