Details

sample98.0ms

Algorithm

intervals

Results

62.0ms	92×	body	10240	exit
14.0ms	272×	body	80	valid
2.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	4×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.8b	(log (+ 1.0 (exp x)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

16.0ms	(- (log (+ 1.0 (exp x))) (* x y))
9.0ms	(+ 1.0 (exp x))
8.0ms	(log (+ 1.0 (exp x)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(- (log (+ 1.0 (exp x))) (* x y))
11.0ms	(+ 1.0 (exp x))
86.0ms	(log (+ 1.0 (exp x)))

simplify94.0ms

Counts: 54 → 54

prune196.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(exp (log (log (+ 1.0 (exp x)))))
0.0b	(log (log (+ 1.0 (exp x))))
0.8b	(log (+ 1.0 (exp x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod` `*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow`
4×	`exp-prod` `exp-sum` `add-cbrt-cube`
2×	`log-div` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`+-commutative` `sum-log` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
11.0ms	(exp (log (log (+ 1.0 (exp x)))))
2.0ms	(log (log (+ 1.0 (exp x))))
7.0ms	(log (+ 1.0 (exp x)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
65.0ms	(exp (log (log (+ 1.0 (exp x)))))
153.0ms	(log (log (+ 1.0 (exp x))))
67.0ms	(log (+ 1.0 (exp x)))

simplify45.0ms

Counts: 68 → 68

prune224.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (+ (* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0))))) (* (/ 1.0 2.0) (/ x (log 2.0)))) (log (log 2.0))))
0.2b	(* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0)))))
0.2b	(/ (pow x 2) (log 2.0))
0.2b	(/ x (log 2.0))

rewrite7.0s

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
70×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
36×	`associate-l`
29×	`pow1`
28×	`unpow-prod-down`
23×	`log-pow`
21×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`unpow2` `sqr-pow`
9×	`associate-r`
8×	`associate-/r*` `add-log-exp`
7×	`div-exp`
6×	`frac-sub`
5×	`frac-times` `exp-prod` `associate-*r/` `distribute-lft-out` `unswap-sqr`
4×	`prod-exp` `distribute-lft-out--`
3×	`cbrt-undiv` `sum-log` `div-inv` `rem-exp-log`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `flip3-+` `frac-add` `pow-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares`
1×	`exp-sum` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 185

Calls

4 calls:

5.7s	(exp (+ (+ (* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0))))) (* (/ 1.0 2.0) (/ x (log 2.0)))) (log (log 2.0))))
1.3s	(* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0)))))
11.0ms	(/ (pow x 2) (log 2.0))
13.0ms	(/ x (log 2.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

313.0ms	(exp (+ (+ (* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0))))) (* (/ 1.0 2.0) (/ x (log 2.0)))) (log (log 2.0))))
558.0ms	(* (/ (pow x 2) (log 2.0)) (- (/ 1.0 4.0) (+ (/ 1/2 (pow 2.0 2)) (/ (/ 1.0 8.0) (log 2.0)))))
220.0ms	(/ (pow x 2) (log 2.0))
296.0ms	(/ x (log 2.0))

simplify89.0ms

Counts: 197 → 197

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.5b	(log (sqrt (+ 1.0 (exp x))))
1.5b	(log (sqrt (+ 1.0 (exp x))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log`

Counts

4 → 64

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
9.0ms	(+ 1.0 (exp x))
9.0ms	(log (sqrt (+ 1.0 (exp x))))
9.0ms	(log (sqrt (+ 1.0 (exp x))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ 1.0 (exp x))
12.0ms	(+ 1.0 (exp x))
139.0ms	(log (sqrt (+ 1.0 (exp x))))
158.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify80.0ms

Counts: 76 → 76

prune304.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.4b

regimes80.0ms

Accuracy

0.6% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	2410×	body	10240	exit
527.0ms	8459×	body	80	valid
99.0ms	255×	body	640	valid
89.0ms	136×	body	1280	valid
41.0ms	178×	body	320	valid
14.0ms	99×	body	160	valid