Details

sample47.0ms

Algorithm

intervals

Results

20.0ms

384×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	80	13
1	80	13

prune13.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.7b	(* (* a z) b)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-l` `*-commutative`

Counts

3 → 43

Calls

3 calls:

2.0ms	(+ x (* y z))
7.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms	(* (* a z) b)

series38.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ x (* y z))
26.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

simplify28.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4934	503
1	4934	503

prune74.0ms

Filtered

38 candidates to 52 candidates (-36.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.5b	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
3.8b	(* a (* z (* (cbrt b) (cbrt b))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`pow1/3` `*-commutative`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
13.0ms	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
9.0ms	(* a (* z (* (cbrt b) (cbrt b))))

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt b)
20.0ms	(cbrt b)
9.0ms	(* (* a (* z (* (cbrt b) (cbrt b)))) (cbrt b))
24.0ms	(* a (* z (* (cbrt b) (cbrt b))))

simplify68.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5191	474

prune82.0ms

Filtered

45 candidates to 82 candidates (-82.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
7.1b	(* a (* z b))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sum-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-r` `*-commutative`

Counts

3 → 43

Calls

3 calls:

2.0ms	(+ x (* y z))
7.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.0ms	(* a (* z b))

series37.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (* y z))
26.0ms	(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms	(* a (* z b))

simplify29.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5012	502

prune62.0ms

Filtered

34 candidates to 52 candidates (-52.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Merged error: 0.0b

Counts

58 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ (* z y) (* a (+ (* z b) t)))))
4.6b	(* a (+ (* z b) t))
4.6b	(* a (+ (* z b) t))
4.6b	(* a (+ (* z b) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`associate-r` `associate-l`
6×	`associate-*r/`
4×	`cbrt-prod` `flip3-+` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

4.0ms	(cbrt (+ x (+ (* z y) (* a (+ (* z b) t)))))
6.0ms	(* a (+ (* z b) t))
6.0ms	(* a (+ (* z b) t))
6.0ms	(* a (+ (* z b) t))

series81.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(cbrt (+ x (+ (* z y) (* a (+ (* z b) t)))))
9.0ms	(* a (+ (* z b) t))
12.0ms	(* a (+ (* z b) t))
10.0ms	(* a (+ (* z b) t))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5314	974

prune84.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

regimes590.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

518.0ms

11843×

body

valid

Details

sample47.0ms

simplify4.0ms

prune13.0ms

localize10.0ms

rewrite15.0ms

series38.0ms

simplify28.0ms

prune74.0ms

localize14.0ms

rewrite25.0ms

series76.0ms

simplify68.0ms

prune82.0ms

localize10.0ms

rewrite15.0ms

series37.0ms

simplify29.0ms

prune62.0ms

localize15.0ms

rewrite24.0ms

series81.0ms

simplify60.0ms

prune84.0ms

regimes590.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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