Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample85.0ms

Algorithm

intervals

Results

23.0ms	339×	body	80	nan
20.0ms	256×	body	80	valid
3.0ms	43×	body	80	invalid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5223	21

prune12.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (* x (log y)) z)
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

7.0ms	(+ (+ (* x (log y)) z) t)
5.0ms	(+ (* x (log y)) z)
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series41.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (+ (* x (log y)) z) t)
13.0ms	(+ (* x (log y)) z)
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5115	807

prune155.0ms

Filtered

65 candidates to 97 candidates (-49.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

11.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series87.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
7.0ms	(* x (log y))
23.0ms	(cbrt c)
21.0ms	(cbrt c)

simplify49.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5052	779

prune142.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
8.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms	(cbrt y)
24.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4951	620
1	4951	620

prune152.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt (sqrt y))))
0.6b	(cbrt y)
0.7b	(cbrt (sqrt y))
0.7b	(cbrt (sqrt y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`sqrt-prod`
9×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1/3` `add-log-exp`
3×	`associate-l`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* x (log (cbrt (sqrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series71.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (log (cbrt (sqrt y))))
21.0ms	(cbrt y)
15.0ms	(cbrt (sqrt y))
15.0ms	(cbrt (sqrt y))

simplify28.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5121	673

prune102.0ms

Filtered

58 candidates to 89 candidates (-53.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	89	8	97

Merged error: 0.0b

Counts

97 → 8

regimes1.6s

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 (1.0ms)

Iter	Nodes	Cost
0	46	32
1	46	32

end0.0ms

sample2.3s

Algorithm

intervals

Results

723.0ms	10123×	body	80	nan
657.0ms	7999×	body	80	valid
95.0ms	1219×	body	80	invalid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample85.0ms

simplify25.0ms

prune12.0ms

localize18.0ms

rewrite25.0ms

series41.0ms

simplify48.0ms

prune155.0ms

localize23.0ms

rewrite20.0ms

series87.0ms

simplify49.0ms

prune142.0ms

localize24.0ms

rewrite18.0ms

series85.0ms

simplify65.0ms

prune152.0ms

localize33.0ms

rewrite13.0ms

series71.0ms

simplify28.0ms

prune102.0ms

regimes1.6s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling