Details

analyze359.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample84.0ms

Algorithm

intervals

Results

20.0ms	58×	body	1280	invalid
14.0ms	41×	body	1280	valid
9.0ms	46×	body	640	valid
9.0ms	46×	body	640	invalid
6.0ms	136×	body	80	valid
4.0ms	80×	body	80	invalid
4.0ms	26×	body	320	invalid
3.0ms	23×	body	320	valid
1.0ms	11×	body	160	invalid
1.0ms	10×	body	160	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune3.0ms

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: 0.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series40.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)
22.0ms	(* (sin x) (/ (sinh y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4972	621
1	4972	621

prune76.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0.2b

Counts

78 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.2b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

3.0ms	(/ (sinh y) y)
4.0ms	(pow (/ (sinh y) y) 3)
4.0ms	(cbrt (pow (/ (sinh y) y) 3))
12.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

series64.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (sinh y) y)
17.0ms	(pow (/ (sinh y) y) 3)
12.0ms	(cbrt (pow (/ (sinh y) y) 3))
22.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

simplify39.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5386	1672

prune157.0ms

Filtered

106 candidates to 185 candidates (-74.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	185	4	189

Merged error: 0.2b

Counts

189 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (+ 1 (+ (* y (* y 1/6)) (* 1/120 (pow y 4)))))
0.1b	(* 1/120 (pow y 4))
0.1b	(* y (* y 1/6))
0.3b	(* y 1/6)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`add-exp-log`
15×	`associate-r` `add-cbrt-cube`
14×	`*-un-lft-identity`
13×	`pow1`
12×	`add-cube-cbrt` `associate-l`
8×	`prod-exp`
6×	`cbrt-unprod`
5×	`pow-prod-down` `unswap-sqr`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+` `distribute-lft-out`

Counts

4 → 84

Calls

4 calls:

8.0ms	(* (sin x) (+ 1 (+ (* y (* y 1/6)) (* 1/120 (pow y 4)))))
5.0ms	(* 1/120 (pow y 4))
4.0ms	(* y (* y 1/6))
3.0ms	(* y 1/6)

series34.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (sin x) (+ 1 (+ (* y (* y 1/6)) (* 1/120 (pow y 4)))))
6.0ms	(* 1/120 (pow y 4))
3.0ms	(* y (* y 1/6))
2.0ms	(* y 1/6)

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5036	828

prune109.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	96	4	100

Merged error: 0.2b

Counts

100 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/1728000 (pow y 12))
0.1b	(* y (* y 1/6))
0.3b	(* y 1/6)
9.8b	(cbrt (* 1/1728000 (pow y 12)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
7×	`prod-exp`
5×	`cbrt-unprod`
4×	`unpow-prod-down` `pow-prod-down` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`cbrt-prod` `pow-to-exp` `pow1/3` `pow-exp`

Counts

4 → 70

Calls

4 calls:

5.0ms	(* 1/1728000 (pow y 12))
4.0ms	(* y (* y 1/6))
3.0ms	(* y 1/6)
3.0ms	(cbrt (* 1/1728000 (pow y 12)))

series15.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* 1/1728000 (pow y 12))
3.0ms	(* y (* y 1/6))
2.0ms	(* y 1/6)
5.0ms	(cbrt (* 1/1728000 (pow y 12)))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5602	453

prune96.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	82	4	86

Merged error: 0.2b

Counts

86 → 4

regimes215.0ms

Accuracy

0% (0.0b 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	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

494.0ms	1505×	body	1280	valid
459.0ms	1519×	body	1280	invalid
236.0ms	1220×	body	640	valid
227.0ms	1153×	body	640	invalid
207.0ms	4337×	body	80	valid
119.0ms	2354×	body	80	invalid
89.0ms	639×	body	320	valid
83.0ms	616×	body	320	invalid
32.0ms	299×	body	160	valid
28.0ms	288×	body	160	invalid

Details

analyze359.0ms

sample84.0ms

simplify37.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series40.0ms

simplify45.0ms

prune76.0ms

localize9.0ms

rewrite34.0ms

series64.0ms

simplify39.0ms

prune157.0ms

localize11.0ms

rewrite23.0ms

series34.0ms

simplify51.0ms

prune109.0ms

localize13.0ms

rewrite17.0ms

series15.0ms

simplify40.0ms

prune96.0ms

regimes215.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling