Details

sample54.0ms

Algorithm

intervals

Results

37.0ms

626×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	53	14
1	173	13
2	532	12
3	1681	12
4	4278	12
5	5001	12

prune7.0ms

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) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.4b	(pow (+ (* a a) (* b b)) 2.0)
0.6b	(* (* b b) (+ 3.0 a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`associate-*r/` `prod-diff`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 120

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
9.0ms	(* (* a a) (- 1.0 a))
4.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series251.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
49.0ms	(* (* a a) (- 1.0 a))
102.0ms	(pow (+ (* a a) (* b b)) 2.0)
32.0ms	(* (* b b) (+ 3.0 a))

simplify127.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	788	1033
1	4587	830
2	5001	830

prune299.0ms

Filtered

132 candidates to 83 candidates (62.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	128	4	132
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0.1b

Counts

133 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* b b) (+ 3.0 a))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* b b) (+ 3.0 a))
92.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))
93.0ms	(cbrt (+ (* a a) (* b b)))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	284	519
1	1396	477
2	5002	465

prune338.0ms

Filtered

83 candidates to 69 candidates (83.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	79	9	88

Merged error: 0.0b

Counts

88 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (+ (* a a) (* b b)))
3.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))
90.0ms	(cbrt (+ (* a a) (* b b)))

simplify51.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	132	524
1	449	488
2	1529	476
3	5001	476

prune408.0ms

Filtered

72 candidates to 72 candidates (100.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	0	6	6
Picked	1	0	1
Done	1	1	2
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

localize35.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))
8.4b	(cbrt (+ (* a a) (* b b)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))
4.0ms	(cbrt (+ (* a a) (* b b)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ (* a a) (* b b)))
91.0ms	(cbrt (+ (* a a) (* b b)))
92.0ms	(cbrt (+ (* a a) (* b b)))
96.0ms	(cbrt (+ (* a a) (* b b)))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	132	524
1	449	488
2	1529	476
3	5001	476

prune438.0ms

Filtered

72 candidates to 72 candidates (100.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

regimes275.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20286×

body

valid