Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 28.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

3.4b	(- (* x x) (* (* y 4.0) y))
27.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* 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` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

3.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(- (* x x) (* (* y 4.0) y))
73.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify179.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	221	583
1	964	535
2	4800	534
3	5002	534

prune117.0ms

Filtered

50 candidates to 39 candidates (22.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.1b

Counts

51 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.4b	(- (* x x) (* (* y 4.0) y))
27.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`exp-prod`
27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`log-pow`
7×	`add-log-exp`
6×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
5×	`pow1`
3×	`log-prod` `flip3-+` `div-sub` `associate-/r` `flip-+` `div-inv` `associate-/l`
2×	`flip3--` `exp-diff` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `log-div` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `clear-num` `rem-exp-log`

Counts

4 → 96

Calls

4 calls:

7.0ms	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
8.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* 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)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
72.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
53.0ms	(- (* x x) (* (* y 4.0) y))
73.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	281	1237
1	1067	1137
2	5001	1134

prune441.0ms

Filtered

108 candidates to 86 candidates (20.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Merged error: 0.1b

Counts

112 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

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

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

Counts

4 → 4

regimes240.0ms

Accuracy

62.4% (11.7b remaining)

Error of 12.0b against oracle of 0.3b and baseline of 31.3b

bsearch184.0ms

Steps

Iters	Range		Point
9	1.2456481691883595e+117	1.9757834319481598e+123	5.34975952707791e+118
9	4.002345360978637e-156	6.88386589388666e-150	2.0162327343861605e-155
8	-9.016048349064981e-116	-1.611851990013556e-120	-6.137149855845844e-117
10	-6.450480931505449e+103	-6.548964391389017e+92	-8.4727754675537e+102

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms

sample462.0ms

Algorithm

intervals

Results

256.0ms

8000×

body

valid

Details

sample20.0ms

simplify17.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series125.0ms

simplify179.0ms

prune117.0ms

localize11.0ms

rewrite30.0ms

series285.0ms

simplify45.0ms

prune441.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune6.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes240.0ms

bsearch184.0ms

simplify2.0ms

end0.0ms

sample462.0ms

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