Details

analyze364.0ms

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%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

sample43.0ms

Algorithm

intervals

Results

12.0ms	267×	body	80	invalid
9.0ms	256×	body	80	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5261	12

prune7.0ms

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: 7.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
7.3b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1843`
16×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
13×	`associate-r_binary64_1917` `times-frac_binary64_1853`
12×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
5×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828`
4×	`cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `pow1_binary64_1804` `cosh-def_binary64_1678`
3×	`associate-l_binary64_1918` `associate-/r*_binary64_1921` `associate-/l/_binary64_1924`
2×	`div-inv_binary64_1859` `associate-l/_binary64_1920` `unswap-sqr_binary64_1886` `associate-r/_binary64_1919` `frac-times_binary64_1850` `add-log-exp_binary64_1823`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `-commutative_binary64_1926` `pow-prod-down_binary64_1785` `associate-/l_binary64_1922`

Counts

2 → 60

Calls

2 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
6.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series206.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
123.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5348	887

prune278.0ms

Filtered

51 candidates to 66 candidates (-29.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0.0b

Counts

67 → 9

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (cosh.f64 x))
0.2b	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
7.3b	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log_binary64_1822`
35×	`add-cbrt-cube_binary64_1830`
19×	`prod-exp_binary64_1809`
16×	`add-sqr-sqrt_binary64_1843` `associate-r_binary64_1917`
14×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
13×	`cbrt-unprod_binary64_1827`
12×	`times-frac_binary64_1853`
11×	`div-exp_binary64_1811`
10×	`pow1_binary64_1804`
9×	`cbrt-undiv_binary64_1828`
7×	`associate-*r/_binary64_1919`
5×	`cosh-def_binary64_1678`
4×	`associate-l_binary64_1918` `rec-exp_binary64_1810` `associate-/l/_binary64_1924` `pow-prod-down_binary64_1785`
3×	`associate-/r*_binary64_1921` `add-log-exp_binary64_1823`
2×	`-commutative_binary64_1926` `div-inv_binary64_1859` `associate-l/_binary64_1920` `frac-times_binary64_1850` `un-div-inv_binary64_1860`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `unswap-sqr_binary64_1886` `associate-/l*_binary64_1922`

Counts

3 → 90

Calls

3 calls:

4.0ms	(*.f64 y (cosh.f64 x))
8.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
9.0ms	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)

series262.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(*.f64 y (cosh.f64 x))
90.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
117.0ms	(/.f64 (.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x)) z)

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5072	1202

prune323.0ms

Filtered

62 candidates to 99 candidates (-59.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
4.0b	(.f64 (/.f64 (.f64 y (cosh.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 1 x) (cbrt.f64 z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

143×	`times-frac_binary64_1853`
99×	`add-sqr-sqrt_binary64_1843`
96×	`add-exp-log_binary64_1822`
82×	`associate-r_binary64_1917`
79×	`*-un-lft-identity_binary64_1858`
77×	`add-cube-cbrt_binary64_1829`
51×	`add-cbrt-cube_binary64_1830` `cbrt-prod_binary64_1825`
36×	`div-exp_binary64_1811` `prod-exp_binary64_1809`
27×	`cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827`
8×	`div-inv_binary64_1859`
7×	`unswap-sqr_binary64_1886`
6×	`pow1_binary64_1804`
5×	`associate-l_binary64_1918` `rec-exp_binary64_1810`
4×	`add-log-exp_binary64_1823`
3×	`pow1/3_binary64_1796`
1×	`-commutative_binary64_1926` `associate-l/_binary64_1920` `associate-*r/_binary64_1919` `pow-prod-down_binary64_1785` `frac-times_binary64_1850`

Counts

4 → 174

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
36.0ms	(.f64 (/.f64 (.f64 y (cosh.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 1 x) (cbrt.f64 z)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 z)
84.0ms	(cbrt.f64 z)
141.0ms	(.f64 (/.f64 (.f64 y (cosh.f64 x)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 1 x) (cbrt.f64 z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5256	3880

prune544.0ms

Filtered

135 candidates to 186 candidates (-37.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	186	9	195

Merged error: 0.0b

Counts

195 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (cosh.f64 x))
0.2b	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
7.4b	(.f64 (.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) (/.f64 1 z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log_binary64_1822`
58×	`add-cbrt-cube_binary64_1830` `prod-exp_binary64_1809`
29×	`cbrt-unprod_binary64_1827` `associate-r_binary64_1917`
21×	`add-sqr-sqrt_binary64_1843`
19×	`add-cube-cbrt_binary64_1829` `pow1_binary64_1804` `*-un-lft-identity_binary64_1858`
18×	`times-frac_binary64_1853`
15×	`div-exp_binary64_1811` `rec-exp_binary64_1810`
11×	`cbrt-undiv_binary64_1828` `associate-*r/_binary64_1919`
10×	`pow-prod-down_binary64_1785`
7×	`cosh-def_binary64_1678` `associate-*l/_binary64_1920` `frac-times_binary64_1850`
5×	`associate-l_binary64_1918`
4×	`un-div-inv_binary64_1860`
3×	`*-commutative_binary64_1926` `add-log-exp_binary64_1823`
2×	`div-inv_binary64_1859`
1×	`unswap-sqr_binary64_1886`

Counts

3 → 123

Calls

3 calls:

4.0ms	(*.f64 y (cosh.f64 x))
8.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
14.0ms	(.f64 (.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) (/.f64 1 z))

series263.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(*.f64 y (cosh.f64 x))
90.0ms	(.f64 (.f64 y (cosh.f64 x)) (/.f64 1 x))
118.0ms	(.f64 (.f64 (*.f64 y (cosh.f64 x)) (/.f64 1 x)) (/.f64 1 z))

simplify90.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5071	1701

prune510.0ms

Filtered

70 candidates to 132 candidates (-88.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	133	8	141

Merged error: 0b

Counts

141 → 8

regimes374.0ms

Accuracy

92.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.3b

bsearch82.0ms

Steps

Iters	Range	Point
9	5089718375130531/13803492693581127574869511724554050904902217944340773110325048447598592	63093700446787/102844034832575377634685573909834406561420991602098741459288064	6.06585713101189e-49
8	-8931897713388939/105312291668557186697918027683670432318895095400549111254310977536	-5577653345409795/53919893334301279589334030174039261347274288845081144962207220498432	-8.39995168417652e-50

Iters

Range

Point

5089718375130531/13803492693581127574869511724554050904902217944340773110325048447598592

63093700446787/102844034832575377634685573909834406561420991602098741459288064

6.06585713101189e-49

-8931897713388939/105312291668557186697918027683670432318895095400549111254310977536

-5577653345409795/53919893334301279589334030174039261347274288845081144962207220498432

-8.39995168417652e-50

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	38
1	22	38

end0.0ms

sample959.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
260.0ms	7384×	body	80	invalid

Details

analyze364.0ms

sample43.0ms

simplify78.0ms

prune7.0ms

localize9.0ms

rewrite15.0ms

series206.0ms

simplify64.0ms

prune278.0ms

localize18.0ms

rewrite24.0ms

series262.0ms

simplify83.0ms

prune323.0ms

localize17.0ms

rewrite51.0ms

series400.0ms

simplify111.0ms

prune544.0ms

localize13.0ms

rewrite38.0ms

series263.0ms

simplify90.0ms

prune510.0ms

regimes374.0ms

bsearch82.0ms

simplify3.0ms

end0.0ms

sample959.0ms

Profiling