Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify30.0ms

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: 30.6b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.7b	(- (* x x) (* (* y 4.0) y))
30.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite20.0ms

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))
5.0ms	(- (* x x) (* (* y 4.0) y))
9.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* x x) (* (* y 4.0) y))
51.0ms	(- (* x x) (* (* y 4.0) y))
75.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (47.0ms)

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

prune177.0ms

Filtered

73 candidates to 59 candidates (80.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.1b

Counts

74 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

4.7b	(- (* x x) (* (* y 4.0) y))
30.1b	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) y))
7.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(- (* x x) (* (* y 4.0) y))
73.0ms	(/ (- (* x x) (* (* y 4.0) y)) (fma x x (* (* y 4.0) y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	221	550
1	994	502
2	5002	498

prune116.0ms

Filtered

54 candidates to 41 candidates (75.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.1b

Counts

58 → 4

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

prune4.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.1b

Counts

4 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

15.3b	(/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
29.6b	(cbrt (- (* x x) (* (* y 4.0) y)))
29.6b	(cbrt (- (* x x) (* (* y 4.0) y)))
29.6b	(cbrt (- (* x x) (* (* y 4.0) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-/r*`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3--` `flip--`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

20.0ms	(/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
4.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
7.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
4.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

series476.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (fma x x (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))))
133.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
133.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))
132.0ms	(cbrt (- (* x x) (* (* y 4.0) y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	514	2634
1	2377	2447
2	5001	2345

prune432.0ms

Filtered

135 candidates to 118 candidates (87.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0.1b

Counts

139 → 4

regimes110.0ms

Accuracy

56.4% (13.8b remaining)

Error of 14.2b against oracle of 0.4b and baseline of 32.0b

bsearch61.0ms

Steps

Iters	Range		Point
3	1.8258022505594032e+219	2.2962424587188664e+219	2.0904248676491008e+219
10	2.716379892692296e+59	2.1905246858573327e+69	2.4050824137629305e+64
3	1.0888580463863271e-113	1.4549328360334433e-113	1.418892650785543e-113
0	0.0	3.95252516673e-323	1.976262583365e-323

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms

sample423.0ms

Algorithm

intervals

Results

284.0ms

8000×

body

valid