Details

sample60.0ms

Algorithm

intervals

Results

33.0ms	82×	body	10240	exit
10.0ms	278×	body	80	valid
3.0ms	6×	body	1280	valid
1.0ms	4×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	3×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
1.2b	(log (+ 1.0 (exp x)))

rewrite13.0ms

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:

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

series127.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
60.0ms	(- (log (+ 1.0 (exp x))) (* x y))
59.0ms	(log (+ 1.0 (exp x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune143.0ms

Filtered

54 candidates to 40 candidates (74.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
34×	`log-prod` `*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate--l+`
16×	`unpow-prod-down` `cube-prod`
8×	`cube-div` `distribute-lft-out`
6×	`pow1` `add-exp-log` `cbrt-div`
5×	`add-cbrt-cube` `add-log-exp`
4×	`cube-mult` `log-div` `flip3-+` `unpow3` `flip-+` `sqr-pow`
3×	`pow-unpow`
2×	`associate--l-` `pow1/3` `log-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 112

Calls

4 calls:

5.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))
9.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
5.0ms	(pow (+ 1.0 (exp x)) 3)
6.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))

series168.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (pow (+ 1.0 (exp x)) 3))
63.0ms	(- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y))
32.0ms	(pow (+ 1.0 (exp x)) 3)
64.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))

simplify42.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	339	812
1	1180	735
2	5001	713

prune313.0ms

Filtered

124 candidates to 72 candidates (58.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
1.1b	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
1.1b	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
1.1b	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`log-prod`
15×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`unpow-prod-down` `pow1/3` `cube-prod` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`cube-div` `log-div` `log-pow` `distribute-lft-out`
1×	`cube-mult` `flip3-+` `unpow3` `rem-log-exp` `flip-+` `sqr-pow`

Counts

4 → 68

Calls

4 calls:

9.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
3.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
3.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
3.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))

series977.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(log (cbrt (pow (+ 1.0 (exp x)) 3)))
300.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
309.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))
304.0ms	(cbrt (- (log (cbrt (pow (+ 1.0 (exp x)) 3))) (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	429	1202
1	1648	1131
2	5002	1097

prune348.0ms

Filtered

80 candidates to 63 candidates (78.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow x 2))
0.0b	(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
8.5b	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
10×	`add-exp-log` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`log-prod` `add-cbrt-cube`
5×	`pow1`
4×	`unpow-prod-down` `log-div` `unswap-sqr`
3×	`flip3-+` `associate-l` `prod-exp` `associate--l+` `sum-log` `flip-+`
2×	`associate--l-` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `associate-+r+` `flip3--` `diff-log` `rem-log-exp` `pow-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

5.0ms	(* 1/2 (pow x 2))
7.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/2 (pow x 2))
17.0ms	(+ (* 1/2 (pow x 2)) (+ x 2.0))
79.0ms	(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
57.0ms	(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	371	575
1	1439	529
2	5001	520

prune397.0ms

Filtered

83 candidates to 61 candidates (73.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes41.0ms

Accuracy

46.3% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.6b

bsearch26.0ms

Steps

Iters	Range		Point
6	1.648961095024041e-05	0.0001038478630801846	0.00010259817767565942

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.1s	2419×	body	10240	exit
338.0ms	8364×	body	80	valid
83.0ms	280×	body	640	valid
70.0ms	133×	body	1280	valid
30.0ms	177×	body	320	valid
11.0ms	107×	body	160	valid