Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	9
1	40	9
2	78	9
3	134	9
4	200	9
5	233	9
6	239	9
7	239	9

prune2.0ms

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: 31.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.8b	(- (* x x) (* (* y 4.0) y))
31.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `sum-log` `div-inv`

Counts

3 → 64

Calls

3 calls:

4.0ms	(+ (* x x) (* (* y 4.0) y))
4.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series144.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* x x) (* (* y 4.0) y))
41.0ms	(- (* x x) (* (* y 4.0) y))
64.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	254	719
1	1175	657
2	5001	641

prune156.0ms

Filtered

73 candidates to 59 candidates (80.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.0b

Counts

3 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
1.0b	(fma x x (- (* (* y 4.0) y)))
31.1b	(/ (fma x x (- (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `fma-udef` `div-inv`

Counts

3 → 55

Calls

3 calls:

4.0ms	(+ (* x x) (* (* y 4.0) y))
1.0ms	(fma x x (- (* (* y 4.0) y)))
5.0ms	(/ (fma x x (- (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x x) (* (* y 4.0) y))
53.0ms	(fma x x (- (* (* y 4.0) y)))
71.0ms	(/ (fma x x (- (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))

simplify130.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	202	637
1	811	575
2	3829	565
3	5001	564

prune146.0ms

Filtered

64 candidates to 51 candidates (79.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 0.0b

Counts

67 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.0b

Counts

3 → 3

regimes98.0ms

Accuracy

54.9% (13.8b remaining)

Error of 14.2b against oracle of 0.4b and baseline of 31.0b

bsearch164.0ms

Steps

Iters	Range		Point
10	2.44011804225307e+18	5.472625713654374e+33	5.420374277975734e+30
7	6.574427863770428e-26	6.36136280187789e-24	5.759634498392098e-24
5	1.0334993801995936e-112	2.727807907557544e-112	1.7369511562531757e-112
9	-2.1928732521521497e-80	-2.241419573690635e-85	-4.686655770886712e-83
7	-5.684541088404978e+144	-4.6619207069308056e+142	-8.263956903093334e+142

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	18
1	43	18
2	43	18

end0.0ms

sample417.0ms

Algorithm

intervals

Results

281.0ms

8000×

body

valid