Details

sample45.0ms

Algorithm

intervals

Results

18.0ms	115×	body	1280	valid
7.0ms	70×	body	640	valid
4.0ms	380×	pre	80	true
3.0ms	45×	body	320	valid
2.0ms	131×	body	80	valid
1.0ms	19×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize6.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite11.0ms

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` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

10.0ms

(- (exp x) 1.0)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	2110
2	428
1	149
0	66

prune125.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1/6 x 1/2)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma 1/6 x 1/2)

simplify1.4s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
4	950
3	208
2	59
1	21
0	15

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
5.6b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `fma-def` `log1p-expm1-u` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Counts

3 → 62

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
11.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
0.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ 1.0 (exp x))
93.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
68.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify1.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5001
3	2420
2	623
1	220
0	105

prune394.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (fma x 0.5 1.0) (* (pow x 3) 0.16666666666666663))
0.1b	(* (pow x 3) 0.16666666666666663)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 43

Calls

2 calls:

1.0ms	(fma x (fma x 0.5 1.0) (* (pow x 3) 0.16666666666666663))
22.0ms	(* (pow x 3) 0.16666666666666663)

series104.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma x (fma x 0.5 1.0) (* (pow x 3) 0.16666666666666663))
45.0ms	(* (pow x 3) 0.16666666666666663)

simplify510.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	578
1	152
0	72

prune232.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes79.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	3473×	body	1280	valid
363.0ms	2488×	body	640	valid
266.0ms	12000×	pre	80	true
107.0ms	1207×	body	320	valid
86.0ms	4200×	body	80	valid
35.0ms	632×	body	160	valid