Details

sample112.0ms

Algorithm

intervals

Results

63.0ms	74×	body	10240	exit
19.0ms	282×	body	80	valid
4.0ms	9×	body	640	valid
3.0ms	3×	body	1280	valid
1.0ms	4×	body	160	valid
0.0ms	1×	body	320	valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
3	23	9
done	23	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.3b	(log (+ 1.0 (exp x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `fma-neg` `prod-diff` `associate--l+`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
13.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series188.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1.0 (exp x))
89.0ms	(- (log (+ 1.0 (exp x))) (* x y))
84.0ms	(log (+ 1.0 (exp x)))

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	105	724
1	240	686
2	761	635
3	3881	618
done	5000	614

prune272.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

50×	`log-pow`
40×	`pow1`
37×	`*-un-lft-identity`
26×	`fma-neg` `prod-diff`
20×	`distribute-rgt-out`
19×	`add-sqr-sqrt` `add-cube-cbrt` `distribute-lft-out`
14×	`log-prod` `sqrt-pow1` `pow1/2`
9×	`add-log-exp`
8×	`log-div` `sqrt-div` `sqrt-prod`
6×	`add-exp-log`
5×	`flip3-+` `flip-+`
4×	`associate--l-` `expm1-log1p-u` `distribute-lft1-in` `distribute-rgt1-in` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-def`
2×	`associate-+l-` `associate-+r-` `count-2` `diff-log` `rem-log-exp` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--`

Counts

4 → 133

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
144.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
16.0ms	(log (sqrt (+ 1.0 (exp x))))
7.0ms	(log (sqrt (+ 1.0 (exp x))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ 1.0 (exp x))
200.0ms	(- (+ (log (sqrt (+ 1.0 (exp x)))) (log (sqrt (+ 1.0 (exp x))))) (* x y))
141.0ms	(log (sqrt (+ 1.0 (exp x))))
156.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify1.0s

Counts

145 → 145

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	160	2031
1	365	1730
2	1376	1462
done	5000	1409

prune479.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) 1.0)
0.0b	(fma (- y) x (log (+ (exp x) 1.0)))
0.3b	(log (+ (exp x) 1.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log` `log-prod`
3×	`expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-div` `flip3-+` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-log-exp` `sum-log` `log-pow` `fma-udef`

Counts

3 → 44

Calls

3 calls:

20.0ms	(+ (exp x) 1.0)
1.0ms	(fma (- y) x (log (+ (exp x) 1.0)))
14.0ms	(log (+ (exp x) 1.0))

series181.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+ (exp x) 1.0)
94.0ms	(fma (- y) x (log (+ (exp x) 1.0)))
78.0ms	(log (+ (exp x) 1.0))

simplify1.4s

Counts

53 → 53

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	80	466
1	168	451
2	479	407
3	1895	403
done	5000	400

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 0.5 y) (log 2.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma x (- 0.5 y) (log 2.0))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(fma x (- 0.5 y) (log 2.0))

simplify3.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	21	131
1	33	131
2	71	108
3	379	108
4	4018	108
done	5000	108

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes34.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	12	17
done	12	17

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.0s	2535×	body	10240	exit
651.0ms	8360×	body	80	valid
95.0ms	249×	body	640	valid
88.0ms	127×	body	1280	valid
81.0ms	189×	body	320	valid
15.0ms	108×	body	160	valid