Details

sample56.0ms

Algorithm

intervals

Results

16.0ms	331×	body	80	nan
14.0ms	290×	body	80	valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	30	8
1	89	7
2	291	7
3	898	7
4	2565	7
5	5001	7

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
65×	`prod-diff`
55×	`add-sqr-sqrt`
48×	`distribute-lft-out`
38×	`add-cube-cbrt`
24×	`associate-r`
21×	`associate-l`
12×	`log-prod` `add-log-exp`
11×	`pow1`
7×	`unswap-sqr`
6×	`distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `fma-neg` `add-cbrt-cube`
4×	`associate--l+`
3×	`expm1-log1p-u` `diff-log` `sum-log` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `fma-udef`

Counts

3 → 141

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
16.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series195.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
36.0ms	(- (+ (+ x y) z) (* z (log t)))
43.0ms	(* z (log t))

simplify78.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	496	1907
1	1930	1307
2	5001	1234

prune216.0ms

Filtered

150 candidates to 67 candidates (44.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	144	6	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	145	6	151

Merged error: 0b

Counts

151 → 6

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

126×	`*-un-lft-identity`
65×	`prod-diff`
55×	`add-sqr-sqrt`
48×	`distribute-lft-out`
38×	`add-cube-cbrt`
24×	`associate-r`
21×	`associate-l`
12×	`log-prod` `add-log-exp`
11×	`pow1`
7×	`unswap-sqr`
6×	`distribute-rgt-in` `distribute-lft-in` `log-pow` `*-commutative` `associate--r+` `distribute-lft-out--`
5×	`add-exp-log` `fma-neg` `add-cbrt-cube`
4×	`associate--l+`
3×	`expm1-log1p-u` `diff-log` `sum-log` `log1p-expm1-u`
2×	`+-commutative` `associate-+l+` `difference-of-squares`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `fma-udef`

Counts

3 → 141

Calls

3 calls:

1.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
17.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series191.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma b (- a 0.5) (- (+ (+ x y) z) (* z (log t))))
35.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify79.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	496	1907
1	1930	1307
2	5001	1234

prune230.0ms

Filtered

150 candidates to 67 candidates (44.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	145	5	150
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Merged error: 0b

Counts

156 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

62×	`associate-r`
49×	`*-un-lft-identity`
48×	`log-prod`
42×	`add-sqr-sqrt`
36×	`distribute-rgt-in` `distribute-lft-in`
33×	`add-cube-cbrt`
30×	`cbrt-prod`
24×	`associate-+l+` `fma-def`
19×	`associate-l`
16×	`pow1`
14×	`log-pow`
13×	`distribute-rgt-out`
12×	`associate-+r+`
11×	`distribute-lft-out`
6×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
5×	`*-commutative` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+`

Counts

4 → 157

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
33.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series575.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* z (log (cbrt t)))
108.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
179.0ms	(cbrt t)
190.0ms	(cbrt t)

simplify77.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	447	841
1	2161	693
2	5003	648

prune599.0ms

Filtered

169 candidates to 131 candidates (77.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	169	6	175

Merged error: 0b

Counts

175 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* 3 (* z (log (pow (/ 1 t) -1/3)))))
0.3b	(* z (log (pow (/ 1 t) -1/3)))
0.3b	(* 3 (* z (log (pow (/ 1 t) -1/3))))
5.1b	(pow (/ 1 t) -1/3)

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

334×	`*-un-lft-identity`
214×	`add-sqr-sqrt`
197×	`associate-r`
170×	`log-prod`
161×	`add-cube-cbrt`
153×	`distribute-rgt-in` `distribute-lft-in`
150×	`prod-diff`
143×	`unpow-prod-down`
99×	`times-frac` `distribute-lft-out`
68×	`associate--r+`
56×	`log-pow`
42×	`associate-l`
34×	`pow1`
28×	`unswap-sqr`
24×	`pow-unpow` `pow-pow`
16×	`add-exp-log`
13×	`*-commutative` `add-log-exp`
11×	`add-cbrt-cube` `div-inv` `sqr-pow`
8×	`pow-flip` `inv-pow`
6×	`distribute-lft-out--`
5×	`fma-neg`
4×	`expm1-log1p-u` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `cbrt-unprod` `log1p-expm1-u`
3×	`diff-log` `sum-log` `difference-of-squares`
2×	`+-commutative` `associate-+l+` `div-exp`
1×	`pow-to-exp` `sub-neg` `rec-exp` `flip3--` `1-exp` `flip--`

Counts

4 → 457

Calls

4 calls:

40.0ms	(- (+ (+ x y) z) (* 3 (* z (log (pow (/ 1 t) -1/3)))))
10.0ms	(* z (log (pow (/ 1 t) -1/3)))
18.0ms	(* 3 (* z (log (pow (/ 1 t) -1/3))))
5.0ms	(pow (/ 1 t) -1/3)

series444.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (+ (+ x y) z) (* 3 (* z (log (pow (/ 1 t) -1/3)))))
95.0ms	(* z (log (pow (/ 1 t) -1/3)))
93.0ms	(* 3 (* z (log (pow (/ 1 t) -1/3))))
188.0ms	(pow (/ 1 t) -1/3)

simplify113.0ms

Algorithm

egg-herbie

Counts

469 → 469

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1666	7743
1	5001	5842

prune898.0ms

Filtered

469 candidates to 204 candidates (43.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	469	0	469
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	469	6	475

Merged error: 0b

Counts

475 → 6

regimes398.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	24	7
2	24	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

438.0ms	9183×	body	80	valid
385.0ms	9205×	body	80	nan
0.0ms	1×	body	1280	valid