Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 35.6b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (* x x) (* (* y 4.0) y))
35.0b	(/ (- (* 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)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x x) (* (* y 4.0) y))
57.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify184.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (28.0ms)

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

prune95.0ms

Filtered

50 candidates to 39 candidates (78.0%)

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: 0.4b

Counts

51 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify6.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.4b

Counts

4 → 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: 0.4b

Counts

4 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
2.6b	(- (* x x) (* (* y 4.0) y))
35.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

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)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
39.0ms	(- (* x x) (* (* y 4.0) y))
60.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	274	937
1	1045	858
2	5001	856

prune161.0ms

Filtered

81 candidates to 63 candidates (77.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	81	4	85

Merged error: 0.4b

Counts

85 → 4

regimes136.0ms

Accuracy

57% (13.3b remaining)

Error of 13.7b against oracle of 0.3b and baseline of 31.4b

bsearch135.0ms

Steps

Iters	Range		Point
10	4.4094486048166944e+284	9.90726552937345e+299	4.506377743451598e+285
7	7.26123095245266e+103	6.369792650086825e+105	7.028408628263835e+104
9	1.3911985966971784e+63	1.509614964017376e+70	9.045145032811988e+68
10	1.5306007714580304e-55	2.1370256813674745e-44	1.5453487320150811e-55

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	29
1	33	29

end0.0ms

sample419.0ms

Algorithm

intervals

Results

286.0ms

8000×

body

valid

Details

sample16.0ms

simplify17.0ms

prune4.0ms

localize7.0ms

rewrite12.0ms

series97.0ms

simplify184.0ms

prune95.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify6.0ms

prune5.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series160.0ms

simplify41.0ms

prune161.0ms

regimes136.0ms

bsearch135.0ms

simplify2.0ms

end0.0ms

sample419.0ms

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