Details

sample91.0ms

Algorithm

intervals

Results

51.0ms	85×	body	10240	exit
14.0ms	265×	body	80	valid
3.0ms	10×	body	640	valid
3.0ms	5×	body	1280	valid
2.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify18.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

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

rewrite68.0ms

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:

43.0ms	(+ 1.0 (exp x))
16.0ms	(- (log (+ 1.0 (exp x))) (* x y))
6.0ms	(log (+ 1.0 (exp x)))

series555.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ 1.0 (exp x))
460.0ms	(- (log (+ 1.0 (exp x))) (* x y))
82.0ms	(log (+ 1.0 (exp x)))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: done (2.4s)

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

prune280.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
0.0b	(log (log (+ 1.0 (exp x))))
0.1b	(exp (log (log (+ 1.0 (exp x)))))
1.5b	(log (+ 1.0 (exp x)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt` `exp-sum`
11×	`pow1`
7×	`fma-neg` `prod-diff` `log-pow`
6×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `log1p-expm1-u`
2×	`log-div` `rem-log-exp`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 78

Calls

4 calls:

39.0ms	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
7.0ms	(log (log (+ 1.0 (exp x))))
4.0ms	(exp (log (log (+ 1.0 (exp x)))))
6.0ms	(log (+ 1.0 (exp x)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
171.0ms	(log (log (+ 1.0 (exp x))))
104.0ms	(exp (log (log (+ 1.0 (exp x)))))
104.0ms	(log (+ 1.0 (exp x)))

simplify779.0ms

Counts

90 → 90

Iterations

Useful iterations: done (775.0ms)

Iter	Nodes	Cost
0	137	1102
1	294	944
2	1035	854
done	5000	826

prune401.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
0.7b	(cbrt (pow (log (+ 1.0 (exp x))) 3))
0.7b	(pow (log (+ 1.0 (exp x))) 3)
1.5b	(log (+ 1.0 (exp x)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`fma-neg` `prod-diff`
16×	`unpow-prod-down` `cube-prod`
14×	`pow1`
9×	`log-pow`
6×	`add-exp-log` `add-log-exp`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `cube-mult` `log-prod` `unpow3` `log1p-expm1-u` `sqr-pow`
3×	`pow-unpow`
2×	`log-div`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 117

Calls

4 calls:

67.0ms	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
3.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))
4.0ms	(pow (log (+ 1.0 (exp x))) 3)
6.0ms	(log (+ 1.0 (exp x)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (cbrt (pow (log (+ 1.0 (exp x))) 3)) (* x y))
78.0ms	(cbrt (pow (log (+ 1.0 (exp x))) 3))
151.0ms	(pow (log (+ 1.0 (exp x))) 3)
127.0ms	(log (+ 1.0 (exp x)))

simplify3.7s

Counts

129 → 129

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	158	1809
1	424	1411
2	2487	1244
done	5001	1237

prune374.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (log (+ 1.0 (exp x))) (sqrt 3))
0.7b	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
0.8b	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))
1.5b	(log (+ 1.0 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `pow-unpow`
9×	`pow1`
8×	`add-exp-log`
6×	`sqrt-prod`
5×	`pow-exp` `sqr-pow`
4×	`expm1-log1p-u` `log-prod` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp`
2×	`log-div` `pow-pow`
1×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

4.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
6.0ms	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
7.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))
6.0ms	(log (+ 1.0 (exp x)))

series2.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(pow (log (+ 1.0 (exp x))) (sqrt 3))
1.3s	(cbrt (pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3)))
642.0ms	(pow (pow (log (+ 1.0 (exp x))) (sqrt 3)) (sqrt 3))
83.0ms	(log (+ 1.0 (exp x)))

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	215	1862
1	622	1727
2	3049	1590
done	5000	1578

prune370.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

regimes59.0ms

Accuracy

75% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 1.5b

bsearch18.0ms

Steps

Iters	Range		Point
2	-3.7438246012323813	-3.309911606533295	-3.3641507308706813

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	138
1	58	138
done	58	138

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s	2460×	body	10240	exit
468.0ms	8466×	body	80	valid
158.0ms	255×	body	640	valid
72.0ms	109×	body	1280	valid
50.0ms	173×	body	320	valid
16.0ms	115×	body	160	valid