Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
12.0ms	313×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
10×	`sum-log`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `diff-log` `associate-*l/` `flip--` `associate--r+`
4×	`frac-add`
3×	`associate-+l+`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `log-pow` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

series225.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- a 0.5) b)
125.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify73.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune286.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp`
24×	`log-prod`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
5×	`associate--l+`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-`

Counts

4 → 100

Calls

4 calls:

12.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
8.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
4.0ms	(* (log (sqrt t)) z)
6.0ms	(* z (log (sqrt t)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
47.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
112.0ms	(* (log (sqrt t)) z)
83.0ms	(* z (log (sqrt t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	425	907
1	1943	795
2	5003	766

prune336.0ms

Filtered

112 candidates to 73 candidates (65.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))
0.3b	(- z (* (log (sqrt t)) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod` `add-log-exp`
20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`pow1` `distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `diff-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
2×	`sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `associate-+r-` `distribute-rgt-out--` `associate--l+`

Counts

4 → 97

Calls

4 calls:

12.0ms	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
5.0ms	(* (log (sqrt t)) z)
5.0ms	(* z (log (sqrt t)))
3.0ms	(- z (* (log (sqrt t)) z))

series355.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (+ (+ x y) (- z (* (log (sqrt t)) z))) (* z (log (sqrt t))))
116.0ms	(* (log (sqrt t)) z)
85.0ms	(* z (log (sqrt t)))
96.0ms	(- z (* (log (sqrt t)) z))

simplify53.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	441	877
1	1842	795
2	5002	749

prune358.0ms

Filtered

109 candidates to 74 candidates (67.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	110	5	115

Merged error: 0.0b

Counts

115 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* (log (sqrt t)) 2))
0.0b	(+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2))))
0.0b	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
0.2b	(* z (- 1 (* (log (sqrt t)) 2)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

24×	`frac-add`
20×	`add-log-exp`
14×	`flip3--` `associate-*r/` `flip--`
12×	`associate-*l/`
10×	`flip3-+` `flip-+`
9×	`sum-log`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sub-neg`
4×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
3×	`associate-r` `associate-l`
2×	`+-commutative` `associate-+l+`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(- 1 (* (log (sqrt t)) 2))
6.0ms	(+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2))))
10.0ms	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
5.0ms	(* z (- 1 (* (log (sqrt t)) 2)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- 1 (* (log (sqrt t)) 2))
57.0ms	(+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2))))
208.0ms	(+ (+ (+ x y) (* z (- 1 (* (log (sqrt t)) 2)))) (* (- a 0.5) b))
145.0ms	(* z (- 1 (* (log (sqrt t)) 2)))

simplify108.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	904	1561
1	4508	1513
2	5002	1513

prune390.0ms

Filtered

95 candidates to 74 candidates (77.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes413.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample1.4s

Algorithm

intervals

Results

431.0ms	9097×	body	80	valid
362.0ms	9148×	body	80	nan
0.0ms	2×	body	160	valid