Details

analyze323.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample50.0ms

Algorithm

intervals

Results

11.0ms	172×	body	80	valid
11.0ms	16×	body	1280	valid
10.0ms	29×	body	640	valid
5.0ms	22×	body	320	valid
2.0ms	17×	body	160	valid
0.0ms	5×	body	80	nan

simplify184.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	5378	13

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 9.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
5.2b	(log (- 1.0 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`associate-r`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`log-div` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4935	654
1	4935	654

prune119.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.0b	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.3b	(* x (log y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1`
12×	`associate-r`
11×	`add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`associate-r/` `-commutative`
2×	`cbrt-undiv` `diff-log` `div-exp` `log-pow` `distribute-lft-out` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `associate-*l/` `associate--l+` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
7.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
17.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
8.0ms	(* x (log y))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
36.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
14.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5012	1373

prune145.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(log (- 1.0 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series69.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
23.0ms	(cbrt y)
22.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4929	513
1	4929	513

prune119.0ms

Filtered

57 candidates to 74 candidates (-29.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	74	5	79

Merged error: 0.0b

Counts

79 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.7b	(cbrt (pow (cbrt y) 2))
5.2b	(log (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log` `log-prod`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`log-div`
1×	`flip3--` `rem-log-exp` `log-pow` `flip--` `distribute-lft-out--` `unpow2` `difference-of-squares` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (pow (cbrt y) 2))
3.0ms	(log (- 1.0 y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
35.0ms	(cbrt (cbrt y))
34.0ms	(cbrt (pow (cbrt y) 2))
3.0ms	(log (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5004	471

prune140.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	72	5	77

Merged error: 0b

Counts

77 → 5

regimes275.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	25
1	60	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

348.0ms	5534×	body	80	valid
288.0ms	833×	body	640	valid
288.0ms	446×	body	1280	valid
150.0ms	710×	body	320	valid
68.0ms	477×	body	160	valid
15.0ms	239×	body	80	nan
2.0ms	36×	body	80	invalid

Details

analyze323.0ms

sample50.0ms

simplify184.0ms

prune10.0ms

localize11.0ms

rewrite15.0ms

series28.0ms

simplify42.0ms

prune119.0ms

localize23.0ms

rewrite42.0ms

series59.0ms

simplify42.0ms

prune145.0ms

localize16.0ms

rewrite15.0ms

series69.0ms

simplify57.0ms

prune119.0ms

localize29.0ms

rewrite10.0ms

series94.0ms

simplify45.0ms

prune140.0ms

regimes275.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.4s

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