Details

sample60.0ms

Algorithm

intervals

Results

34.0ms	80×	body	10240	exit
10.0ms	258×	body	80	valid
3.0ms	11×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	8×	body	320	valid
1.0ms	6×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.2b	(log (+ 1.0 (exp x)))

rewrite13.0ms

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:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
3.0ms	(log (+ 1.0 (exp x)))

series127.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (log (+ 1.0 (exp x))) (* x y))
7.0ms	(+ 1.0 (exp x))
62.0ms	(log (+ 1.0 (exp x)))

simplify768.0ms

Counts

71 → 71

Iterations

Useful iterations: done (766.0ms)

Iter	Nodes	Cost
0	105	724
1	236	686
2	620	635
3	2104	618
done	5000	614

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.3b	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.1b	(- (exp x) 1.0)
5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
12×	`log-prod`
9×	`prod-diff`
7×	`pow1` `unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube` `distribute-lft-out`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `exp-prod` `fma-neg`
2×	`log-div` `rem-log-exp` `log-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `sum-cubes` `flip--` `flip-+` `distribute-lft-out--` `rem-cube-cbrt` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

2.0ms	(pow (exp x) 3)
13.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.0ms	(- (exp x) 1.0)
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(pow (exp x) 3)
90.0ms	(log (+ (pow 1.0 3) (pow (exp x) 3)))
13.0ms	(- (exp x) 1.0)
106.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify680.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	183	1228
1	390	1016
2	1445	884
done	5000	884

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

5.1b	(- (exp x) 1.0)
5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`log-prod` `prod-diff`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`fma-neg` `rem-log-exp` `log-pow`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 70

Calls

4 calls:

5.0ms	(- (exp x) 1.0)
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (exp x) 1.0)
106.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
107.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
112.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))

simplify2.4s

Counts

82 → 82

Iterations

Useful iterations: 3 (497.0ms)

Iter	Nodes	Cost
0	100	1198
1	207	1095
2	652	921
3	3326	900
done	5000	900

prune364.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
5.3b	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
5.4b	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
5.4b	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
10×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-exp-log` `log-pow`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`sqrt-pow1` `pow1/2`

Counts

4 → 66

Calls

4 calls:

1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
1.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
1.0ms	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
1.0ms	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))

series530.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
107.0ms	(log (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0))))
158.0ms	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))
159.0ms	(log (sqrt (fma 1.0 1.0 (* (exp x) (- (exp x) 1.0)))))

simplify535.0ms

Counts

78 → 78

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	81	1364
1	148	1318
2	388	1152
3	1472	1140
done	5000	1140

prune395.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes78.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	66
1	28	66
done	28	66

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2485×	body	10240	exit
318.0ms	8371×	body	80	valid
76.0ms	282×	body	640	valid
52.0ms	103×	body	1280	valid
29.0ms	178×	body	320	valid
16.0ms	141×	body	160	valid