Details

sample82.0ms

Algorithm

intervals

Results

31.0ms	100×	body	1280	valid
16.0ms	88×	body	640	valid
6.0ms	352×	pre	80	true
5.0ms	39×	body	320	valid
3.0ms	102×	body	80	valid
2.0ms	23×	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: 58.7b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (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)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (exp x) 1.0)

simplify2.4s

Counts

31 → 31

Iterations

Iter	Nodes
done	5001
4	2205
3	858
2	311
1	149
0	66

prune143.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma x 1/6 1/2)
11.0ms	(* x (fma x 1/6 1/2))

series140.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(fma x 1/6 1/2)
94.0ms	(* x (fma x 1/6 1/2))

simplify2.4s

Counts

38 → 38

Iterations

Iter	Nodes
done	5005
3	1482
2	259
1	101
0	48

prune224.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) 1.0))
6.1b	(- (exp x) 1.0)
6.3b	(log (exp (- (exp x) 1.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`prod-diff`
25×	`add-cube-cbrt`
22×	`exp-sum`
14×	`log-prod`
10×	`exp-prod`
8×	`add-log-exp`
6×	`log-pow`
4×	`pow1`
3×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 87

Calls

3 calls:

40.0ms	(exp (- (exp x) 1.0))
10.0ms	(- (exp x) 1.0)
21.0ms	(log (exp (- (exp x) 1.0)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(exp (- (exp x) 1.0))
20.0ms	(- (exp x) 1.0)
19.0ms	(log (exp (- (exp x) 1.0)))

simplify3.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
4	3405
3	1245
2	484
1	234
0	126

prune261.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

6.1b	(- (exp x) 1.0)
6.3b	(log (exp (- (exp x) 1.0)))
6.3b	(log (exp (- (exp x) 1.0)))
6.3b	(log (exp (- (exp x) 1.0)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt` `*-un-lft-identity`
42×	`log-prod`
36×	`prod-diff`
35×	`add-cube-cbrt`
33×	`exp-sum`
18×	`log-pow`
15×	`exp-prod`
7×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`log-div` `exp-diff` `fma-neg` `rem-log-exp`
1×	`flip3--` `diff-log` `flip--`

Counts

4 → 121

Calls

4 calls:

9.0ms	(- (exp x) 1.0)
31.0ms	(log (exp (- (exp x) 1.0)))
40.0ms	(log (exp (- (exp x) 1.0)))
39.0ms	(log (exp (- (exp x) 1.0)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(- (exp x) 1.0)
16.0ms	(log (exp (- (exp x) 1.0)))
16.0ms	(log (exp (- (exp x) 1.0)))
18.0ms	(log (exp (- (exp x) 1.0)))

simplify3.2s

Counts

133 → 133

Iterations

Iter	Nodes
done	5028
4	2809
3	1126
2	446
1	217
0	119

prune674.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes173.0ms

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	7
1	7
0	6

end0.0ms

sample2.2s

Algorithm

intervals

Results

980.0ms	3444×	body	1280	valid
369.0ms	2502×	body	640	valid
236.0ms	12020×	pre	80	true
126.0ms	1244×	body	320	valid
97.0ms	4213×	body	80	valid
36.0ms	617×	body	160	valid