Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4910	15
1	4910	15

prune7.0ms

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: 19.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
19.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

3.0ms	(+ (* x x) (* y y))
11.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* x x) (* y y))
10.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify19.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	5008	655

prune79.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 0.6b

Counts

50 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
18.6b	(/ (+ (* x x) (* y y)) (+ x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
161×	`*-un-lft-identity`
117×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
22×	`associate-/r*` `distribute-lft-out`
19×	`distribute-lft-out--` `difference-of-squares`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`flip3-+` `flip-+`
8×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3--` `div-sub` `sum-log` `flip--`

Counts

3 → 177

Calls

3 calls:

3.0ms	(+ (* x x) (* y y))
15.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
8.0ms	(/ (+ (* x x) (* y y)) (+ x y))

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x x) (* y y))
11.0ms	(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
9.0ms	(/ (+ (* x x) (* y y)) (+ x y))

simplify67.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5098	4282

prune121.0ms

Filtered

123 candidates to 186 candidates (-51.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	186	4	190

Merged error: 0.6b

Counts

190 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.2b	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
18.7b	(/ (+ x y) (+ (* x x) (* y y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+` `associate-/l*`
3×	`associate-/r*`
2×	`cbrt-undiv` `frac-times` `flip3--` `div-exp` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 89

Calls

3 calls:

3.0ms	(+ (* x x) (* y y))
14.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
9.0ms	(/ (+ x y) (+ (* x x) (* y y)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (* x x) (* y y))
10.0ms	(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms	(/ (+ x y) (+ (* x x) (* y y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5292	1446

prune89.0ms

Filtered

70 candidates to 98 candidates (-40.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.6b

Counts

102 → 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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0.6b

Counts

4 → 4

regimes97.0ms

Accuracy

76.2% (4.7b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 20.4b

bsearch34.0ms

Steps

Iters	Range	Point
4	1.279838744666234e-171	2.1078370269316807e-171	2.063685824454997e-171
8	-1.977171115767585e-161	-8.319227739701396e-165	-1.8605220956778825e-161
9	-1.1270170690418448e+61	-2.3177517358538973e+53	-9.827121845365104e+60

Iters

Range

Point

1.279838744666234e-171

2.1078370269316807e-171

2.063685824454997e-171

-1.977171115767585e-161

-8.319227739701396e-165

-1.8605220956778825e-161

-1.1270170690418448e+61

-2.3177517358538973e+53

-9.827121845365104e+60

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	30
1	26	30

end0.0ms

sample680.0ms

Algorithm

intervals

Results

310.0ms	8000×	body	80	valid
153.0ms	8000×	pre	80	true

Details

sample28.0ms

simplify87.0ms

prune7.0ms

localize8.0ms

rewrite15.0ms

series15.0ms

simplify19.0ms

prune79.0ms

localize8.0ms

rewrite34.0ms

series25.0ms

simplify67.0ms

prune121.0ms

localize9.0ms

rewrite30.0ms

series23.0ms

simplify60.0ms

prune89.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune0.0ms

regimes97.0ms

bsearch34.0ms

simplify1.0ms

end0.0ms

sample680.0ms

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