Details

analyze240.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	260	12
1	260	12

prune7.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

3.0ms	(- x (* (+ y 0.5) (log y)))
7.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
5.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
6.0ms	(* (+ y 0.5) (log y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
16.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
10.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
22.0ms	(* (+ y 0.5) (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5616	1040

prune112.0ms

Filtered

63 candidates to 90 candidates (-42.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (cbrt y)))
0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
18×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-r`
4×	`associate-l` `frac-add`
3×	`pow1/3`
2×	`log-pow` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

7.0ms	(* (+ y 0.5) (log (cbrt y)))
10.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series208.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ y 0.5) (log (cbrt y)))
107.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5121	967

prune127.0ms

Filtered

68 candidates to 97 candidates (-42.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.5 (* y 3))
0.1b	(+ (- x (* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))) y)
0.3b	(* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))
0.6b	(cbrt (neg y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
10×	`cbrt-prod`
9×	`pow1` `add-cube-cbrt`
6×	`add-exp-log` `associate-l` `add-cbrt-cube`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `pow1/3` `associate-r` `pow-prod-down` `sum-log` `log-pow` `flip-+`
2×	`+-commutative` `associate-*r/`
1×	`distribute-rgt-in` `associate-+l-` `neg-mul-1` `sub-neg` `associate-+l+` `distribute-lft-in` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

2.0ms	(+ 1.5 (* y 3))
5.0ms	(+ (- x (* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))) y)
9.0ms	(* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))
2.0ms	(cbrt (neg y))

series155.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ 1.5 (* y 3))
43.0ms	(+ (- x (* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))) y)
83.0ms	(* (log (* (cbrt -1) (cbrt (neg y)))) (+ 1.5 (* y 3)))
26.0ms	(cbrt (neg y))

simplify35.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5223	1036

prune149.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0.0b

Counts

87 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ y 0.5) (log (pow y 1/3)))
0.3b	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
0.6b	(cbrt y)
5.1b	(pow y 1/3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity`
17×	`add-cube-cbrt`
15×	`unpow-prod-down`
14×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
10×	`associate-*l/`
7×	`pow1` `add-exp-log`
6×	`flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`sqr-pow`
4×	`associate-r` `associate-l` `frac-add`
3×	`cbrt-prod` `pow-unpow`
2×	`distribute-lft-out`
1×	`+-commutative` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

7.0ms	(* (+ y 0.5) (log (pow y 1/3)))
10.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)

series230.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ y 0.5) (log (pow y 1/3)))
132.0ms	(+ (* (+ y 0.5) (* (log (cbrt y)) 2)) (* (+ y 0.5) (log (pow y 1/3))))
21.0ms	(cbrt y)
22.0ms	(pow y 1/3)

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4941	1004
1	4941	1004

prune132.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

regimes341.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	12
1	13	12

end0.0ms

analyze227.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample502.0ms

Algorithm

intervals

Results

343.0ms	7999×	body	80	valid
2.0ms	49×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze240.0ms

sample20.0ms

simplify6.0ms

prune7.0ms

localize9.0ms

rewrite24.0ms

series58.0ms

simplify48.0ms

prune112.0ms

localize18.0ms

rewrite23.0ms

series208.0ms

simplify51.0ms

prune127.0ms

localize15.0ms

rewrite20.0ms

series155.0ms

simplify35.0ms

prune149.0ms

localize22.0ms

rewrite24.0ms

series230.0ms

simplify46.0ms

prune132.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze227.0ms

sample502.0ms

Profiling