Details

sample57.0ms

Algorithm

intervals

Results

35.0ms

638×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	55	15
1	179	14
2	561	13
3	1824	13
4	5002	13

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.9b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

216×	`prod-diff`
213×	`add-sqr-sqrt`
202×	`distribute-rgt-in` `distribute-lft-in`
186×	`*-un-lft-identity`
152×	`associate-+r+`
146×	`add-cube-cbrt`
118×	`associate-l`
84×	`associate-r`
34×	`unswap-sqr`
25×	`*-commutative`
18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
12×	`swap-sqr`
8×	`+-commutative` `unpow-prod-down` `associate-+l+`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 391

Calls

4 calls:

80.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
16.0ms	(* (* a a) (+ 1.0 a))
17.0ms	(pow (+ (* a a) (* b b)) 2.0)
20.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a)))))
60.0ms	(* (* a a) (+ 1.0 a))
123.0ms	(pow (+ (* a a) (* b b)) 2.0)
66.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify111.0ms

Algorithm

egg-herbie

Counts

403 → 403

Iterations

Useful iterations: 1 (50.0ms)

Iter	Nodes	Cost
0	2065	6245
1	5002	5099

prune511.0ms

Filtered

403 candidates to 132 candidates (32.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	398	5	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	398	6	404

Merged error: 0.1b

Counts

404 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.9b	(* (* b b) (- 1.0 (* 3.0 a)))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
87×	`add-sqr-sqrt`
72×	`prod-diff`
58×	`add-cube-cbrt`
49×	`associate-l`
38×	`distribute-rgt-in` `distribute-lft-in`
36×	`cbrt-prod`
28×	`associate-r`
24×	`unpow-prod-down`
15×	`distribute-lft-out`
14×	`unswap-sqr`
10×	`swap-sqr`
9×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
1×	`flip3--` `flip--`

Counts

4 → 187

Calls

4 calls:

23.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series609.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
181.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
179.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	800	2279
1	3339	1737
2	5001	1710

prune645.0ms

Filtered

199 candidates to 88 candidates (44.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	198	7	205

Merged error: 0.0b

Counts

205 → 7

localize32.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
48×	`cbrt-prod`
32×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

22.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
20.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series718.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
180.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
178.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
177.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	170	858
1	399	808
2	1344	770
3	5001	770

prune433.0ms

Filtered

100 candidates to 70 candidates (70.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	97	10	107

Merged error: 0.0b

Counts

107 → 10

localize28.0ms

Local error

Found 4 expressions with local error:

18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.7b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
48×	`cbrt-prod`
32×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series729.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
184.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
183.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
178.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify142.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	111	800
1	261	752
2	882	716
3	4364	716
4	5002	716

prune375.0ms

Filtered

100 candidates to 68 candidates (68.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	100	10	110

Merged error: 0.0b

Counts

110 → 10

regimes325.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

20180×

body

valid