Details

sample57.0ms

Algorithm

intervals

Results

16.0ms	297×	body	80	valid
15.0ms	335×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize17.0ms

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))

rewrite33.0ms

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)))
4.0ms	(* z (log t))

series221.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- a 0.5) b)
121.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
37.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify72.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (61.0ms)

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

prune255.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	8	103

Merged error: 0.0b

Counts

103 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

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

series307.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
56.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
112.0ms	(* (log (sqrt t)) z)
83.0ms	(* z (log (sqrt t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	425	907
1	1945	795
2	5002	766

prune286.0ms

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	1	0	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (* z 1/2) (log t)))
0.3b	(* (log (sqrt t)) z)
0.3b	(* (* z 1/2) (log t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
11.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (* z 1/2) (log t)))
4.0ms	(* (log (sqrt t)) z)
5.0ms	(* (* z 1/2) (log t))

series277.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
73.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* (* z 1/2) (log t)))
114.0ms	(* (log (sqrt t)) z)
45.0ms	(* (* z 1/2) (log t))

simplify69.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	519	780
1	2344	700
2	5001	687

prune278.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ x (- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))) (* (* z 1/2) (log (sqrt t))))
0.2b	(- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))
0.3b	(* (* z 1/2) (log (sqrt t)))
0.4b	(* (log (sqrt t)) (+ z (* z 1/2)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

10.0ms	(- (+ x (- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))) (* (* z 1/2) (log (sqrt t))))
10.0ms	(- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))
6.0ms	(* (* z 1/2) (log (sqrt t)))
6.0ms	(* (log (sqrt t)) (+ z (* z 1/2)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (+ x (- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))) (* (* z 1/2) (log (sqrt t))))
84.0ms	(- (+ z y) (* (log (sqrt t)) (+ z (* z 1/2))))
95.0ms	(* (* z 1/2) (log (sqrt t)))
122.0ms	(* (log (sqrt t)) (+ z (* z 1/2)))

simplify96.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	735	1289
1	3496	1173
2	5002	1156

prune350.0ms

Filtered

119 candidates to 82 candidates (68.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

regimes426.0ms

Accuracy

0% (0.1b 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	28	13
1	28	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

526.0ms	9223×	body	80	valid
465.0ms	9497×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid