Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	75×	body	1280	valid
6.0ms	53×	body	640	valid
4.0ms	178×	body	80	valid
3.0ms	29×	body	320	valid
0.0ms	6×	body	160	valid

simplify16.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize6.0ms

Local error

Found 1 expressions with local error:

2.3b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

11.0ms

(- (exp x) 1.0)

series35.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(- (exp x) 1.0)

simplify2.0s

Counts: 17 → 17

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)
4.0b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

8.0ms	(+ (* x 1/6) 1/2)
37.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
8.0ms	(* x 1/6)
57.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series182.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x 1/6) 1/2)
71.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
21.0ms	(* x 1/6)
54.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

simplify902.0ms

Counts: 101 → 101

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

2.3b	(log (exp (- (exp x) 1.0)))
2.3b	(- (exp x) 1.0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`log-pow`
5×	`log-prod` `exp-prod`
4×	`add-cube-cbrt` `add-log-exp`
3×	`pow1`
2×	`add-exp-log` `sub-neg` `exp-sum` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

2 → 34

Calls

2 calls:

30.0ms	(log (exp (- (exp x) 1.0)))
13.0ms	(- (exp x) 1.0)

series43.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(log (exp (- (exp x) 1.0)))
22.0ms	(- (exp x) 1.0)

simplify779.0ms

Counts: 40 → 40

prune102.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 21.5b

bsearch48.0ms

Steps

Iters	Range		Point
9	-1.9338314318659307	-5.99435871131559e-06	-0.00014841222714399082

simplify1.2s

end0.0ms

sample1.7s

Algorithm

intervals

Results

711.0ms	2283×	body	1280	valid
324.0ms	1672×	body	640	valid
254.0ms	5524×	body	80	valid
94.0ms	824×	body	320	valid
30.0ms	407×	body	160	valid