Details

analyze963.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
3.1%	71.7%	25.1%	9
4.7%	69.8%	25.5%	10
7%	66.9%	26.1%	11
10.9%	61.5%	27.6%	12
11.1%	47%	41.9%	13
12.8%	44.4%	42.8%	14

sample96.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (195.0ms)

Iter	Nodes	Cost
0	5207	19

prune14.0ms

Filtered

1 candidates to 1 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: 1.0b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* y (* 27.0 (* z 2.0)))
1.0b	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
4.0b	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
6.7b	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
15×	`pow1`
11×	`associate-r`
9×	`cbrt-undiv` `div-exp` `sqrt-prod` `associate-/l*`
7×	`pow-prod-down`
6×	`associate-l`
4×	`associate-/r*` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`acos-asin` `div-sub` `associate-*r/` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

7.0ms	(* y (* 27.0 (* z 2.0)))
3.0ms	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
12.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
12.0ms	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* y (* 27.0 (* z 2.0)))
8.0ms	(/ (acos (* 3.0 (* x (/ (sqrt t) (* y (* 27.0 (* z 2.0))))))) 3.0)
10.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
22.0ms	(* x (/ (sqrt t) (* y (* 27.0 (* z 2.0)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5025	1794

prune183.0ms

Filtered

81 candidates to 126 candidates (-55.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	123	3	126
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
0.4b	(* y (* 27.0 (* z 2.0)))
4.0b	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
6.7b	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log` `add-cbrt-cube`
40×	`prod-exp` `cbrt-unprod`
20×	`pow1`
16×	`add-sqr-sqrt` `associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv` `times-frac` `div-exp`
10×	`pow-prod-down`
9×	`sqrt-prod`
6×	`associate-/l*`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative`
2×	`associate-*l/` `div-inv`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

12.0ms	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
7.0ms	(* y (* 27.0 (* z 2.0)))
10.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
14.0ms	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

series50.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0)
4.0ms	(* y (* 27.0 (* z 2.0)))
10.0ms	(/ (sqrt t) (* y (* 27.0 (* z 2.0))))
25.0ms	(* x (* (/ (sqrt t) (* y (* 27.0 (* z 2.0)))) 3.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4997	1527
1	4997	1527

prune203.0ms

Filtered

70 candidates to 125 candidates (-78.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
0.2b	(* (/ x (* y z)) 0.05555555555555555)
2.7b	(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
6.9b	(/ x (* y z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`associate-l`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-undiv` `times-frac` `div-exp`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`sqrt-prod` `-commutative` `associate-/l`
2×	`associate-*l/` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r`

Counts

4 → 92

Calls

4 calls:

3.0ms	(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
7.0ms	(* (/ x (* y z)) 0.05555555555555555)
9.0ms	(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
4.0ms	(/ x (* y z))

series46.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* 0.3333333333333333 (acos (* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))))
6.0ms	(* (/ x (* y z)) 0.05555555555555555)
23.0ms	(* (sqrt t) (* (/ x (* y z)) 0.05555555555555555))
5.0ms	(/ x (* y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	1058
1	4963	1058

prune117.0ms

Filtered

69 candidates to 104 candidates (-50.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0b

Counts

107 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))
1.0b	(/ (acos (* 3.0 (* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))))) 3.0)
2.4b	(* x (/ (fabs (cbrt t)) y))
5.1b	(* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log` `add-cbrt-cube`
37×	`times-frac`
35×	`add-sqr-sqrt`
34×	`prod-exp` `cbrt-unprod`
30×	`add-cube-cbrt` `*-un-lft-identity`
26×	`associate-r`
18×	`cbrt-undiv` `div-exp` `sqrt-prod`
12×	`associate-/l*`
11×	`pow1`
9×	`cbrt-prod`
4×	`associate-r/` `associate-l` `pow-prod-down` `associate-/r` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative` `unswap-sqr`
1×	`acos-asin` `frac-times` `div-sub` `associate-*l/`

Counts

4 → 146

Calls

4 calls:

8.0ms	(/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))
4.0ms	(/ (acos (* 3.0 (* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))))) 3.0)
7.0ms	(* x (/ (fabs (cbrt t)) y))
14.0ms	(* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))
18.0ms	(/ (acos (* 3.0 (* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0)))))) 3.0)
11.0ms	(* x (/ (fabs (cbrt t)) y))
55.0ms	(* (* x (/ (fabs (cbrt t)) y)) (/ (sqrt (cbrt t)) (* 27.0 (* z 2.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4982	2592
1	4982	2592

prune199.0ms

Filtered

104 candidates to 158 candidates (-51.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	3	161

Merged error: 0b

Counts

161 → 3

regimes354.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	28
1	31	28

end0.0ms

sample2.6s

Algorithm

intervals

Results

513.0ms

8000×

body

valid

Details

analyze963.0ms

sample96.0ms

simplify197.0ms

prune14.0ms

localize15.0ms

rewrite38.0ms

series44.0ms

simplify43.0ms

prune183.0ms

localize20.0ms

rewrite47.0ms

series50.0ms

simplify59.0ms

prune203.0ms

localize12.0ms

rewrite26.0ms

series46.0ms

simplify61.0ms

prune117.0ms

localize19.0ms

rewrite38.0ms

series104.0ms

simplify67.0ms

prune199.0ms

regimes354.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling