Details

sample87.0ms

Algorithm

intervals

Results

32.0ms	106×	body	1280	valid
15.0ms	75×	body	640	valid
11.0ms	401×	pre	80	true
6.0ms	51×	body	320	valid
4.0ms	151×	body	80	valid
1.0ms	18×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize7.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite10.0ms

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:

9.0ms

(- (exp x) 1.0)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

simplify1.6s

Counts

31 → 31

Iterations

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

prune106.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune16.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

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)))
5.3b	(fma (- 1.0) 1.0 (exp (+ x x)))

rewrite31.0ms

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))
19.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
1.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ 1.0 (exp x))
78.0ms	(/ (fma (- 1.0) 1.0 (exp (+ x x))) (+ 1.0 (exp x)))
72.0ms	(fma (- 1.0) 1.0 (exp (+ x x)))

simplify1.2s

Counts

71 → 71

Iterations

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

prune346.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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)

rewrite14.0ms

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:

0.0ms	(fma x (fma x 0.5 1.0) (* (pow x 3) 0.16666666666666663))
13.0ms	(* (pow x 3) 0.16666666666666663)

series106.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(fma x (fma x 0.5 1.0) (* (pow x 3) 0.16666666666666663))
49.0ms	(* (pow x 3) 0.16666666666666663)

simplify488.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5000
2	578
1	152
0	72

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes37.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.2s	3428×	body	1280	valid
495.0ms	2545×	body	640	valid
152.0ms	11984×	pre	80	true
113.0ms	1238×	body	320	valid
97.0ms	4188×	body	80	valid
33.0ms	585×	body	160	valid