Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	272×	body	80	valid
2.0ms	61×	body	80	overflowed
2.0ms	3×	body	1280	valid
2.0ms	5×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune4.0ms

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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.4b	(log (+ 1.0 (exp x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
8×	`log-prod`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `log-div` `associate--l+`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `rem-log-exp` `sum-log` `log-pow` `flip--`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+ 1.0 (exp x))
6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp x))
9.0ms	(- (log (+ 1.0 (exp x))) (* x y))
11.0ms	(log (+ 1.0 (exp x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	207	322
1	584	301
2	1729	298
3	5001	297

prune181.0ms

Filtered

54 candidates to 40 candidates (25.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	48	6	54
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	6	55

Merged error: 0.4b

Counts

55 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (+ 1.0 (exp x))))
0.0b	(exp (log (log (+ 1.0 (exp x)))))
0.0b	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
0.4b	(log (+ 1.0 (exp x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
10×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow`
4×	`exp-prod` `exp-sum` `add-cbrt-cube`
2×	`log-div` `rem-log-exp`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

4 → 56

Calls

4 calls:

1.0ms	(log (log (+ 1.0 (exp x))))
2.0ms	(exp (log (log (+ 1.0 (exp x)))))
5.0ms	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(log (log (+ 1.0 (exp x))))
14.0ms	(exp (log (log (+ 1.0 (exp x)))))
12.0ms	(- (exp (log (log (+ 1.0 (exp x))))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))

simplify60.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	243	473
1	664	420
2	2239	404
3	5001	398

prune226.0ms

Filtered

68 candidates to 43 candidates (36.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 0.4b

Counts

74 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y))
0.4b	(log (+ 1.0 (exp x)))
0.7b	(cbrt (pow (log (log (+ 1.0 (exp x)))) 3))
1.1b	(pow (log (log (+ 1.0 (exp x)))) 3)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log` `add-log-exp`
5×	`log-pow` `add-cbrt-cube`
4×	`log-prod`
3×	`pow-unpow`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `flip3-+` `pow1/3` `diff-log` `rem-log-exp` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 75

Calls

4 calls:

6.0ms	(- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y))
3.0ms	(log (+ 1.0 (exp x)))
2.0ms	(cbrt (pow (log (log (+ 1.0 (exp x)))) 3))
2.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)

series73.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y))
10.0ms	(log (+ 1.0 (exp x)))
26.0ms	(cbrt (pow (log (log (+ 1.0 (exp x)))) 3))
27.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	380	755
1	1411	685
2	5002	646

prune414.0ms

Filtered

87 candidates to 49 candidates (43.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	86	7	93

Merged error: 0.4b

Counts

93 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y)))
1.1b	(pow (log (log (+ 1.0 (exp x)))) 3)
1.1b	(pow (log (log (+ 1.0 (exp x)))) 3)
1.1b	(pow (log (log (+ 1.0 (exp x)))) 3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`unpow-prod-down` `cube-prod`
9×	`pow-unpow`
7×	`add-exp-log` `add-cbrt-cube`
6×	`log-pow`
4×	`add-log-exp`
3×	`cbrt-prod` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 88

Calls

4 calls:

6.0ms	(cbrt (- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y)))
3.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)
2.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)
3.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)

series145.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(cbrt (- (exp (cbrt (pow (log (log (+ 1.0 (exp x)))) 3))) (* x y)))
30.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)
30.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)
30.0ms	(pow (log (log (+ 1.0 (exp x)))) 3)

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	424	1073
1	1820	973
2	5002	956

prune444.0ms

Filtered

100 candidates to 60 candidates (40.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	99	8	107

Merged error: 0.4b

Counts

107 → 8

regimes226.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	9
1	15	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

391.0ms	8471×	body	80	valid
96.0ms	2401×	body	80	overflowed
86.0ms	284×	body	640	valid
73.0ms	131×	body	1280	valid
35.0ms	175×	body	320	valid
12.0ms	117×	body	160	valid

Details

sample45.0ms

simplify4.0ms

prune4.0ms

localize7.0ms

rewrite17.0ms

series21.0ms

simplify52.0ms

prune181.0ms

localize11.0ms

rewrite13.0ms

series55.0ms

simplify60.0ms

prune226.0ms

localize18.0ms

rewrite16.0ms

series73.0ms

simplify44.0ms

prune414.0ms

localize24.0ms

rewrite15.0ms

series145.0ms

simplify54.0ms

prune444.0ms

regimes226.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

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