Details

analyze567.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1687	68
1	1687	68
0	3	3
1	3	3

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%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	94×	body	1024	valid
6.0ms	30×	body	2048	valid
3.0ms	35×	body	512	valid
3.0ms	83×	body	128	valid
1.0ms	14×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune3.0ms (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

Error

42.8b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
8.9b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite51.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

42.2b

Rules

13×	`add-log-exp_binary64_1822`
10×	`*-un-lft-identity_binary64_1783`
5×	`add-sqr-sqrt_binary64_1805`
4×	`sum-log_binary64_1874` `cancel-sign-sub-inv_binary64_1749`
3×	`diff-log_binary64_1875` `add-cube-cbrt_binary64_1818`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734` `distribute-lft-out--_binary64_1735`
1×	`flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `associate--r+_binary64_1719` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

2 → 32

Calls

2 calls:

8.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 684 to 235 computations (65.6% saved)

series222.0ms (2.8%)

Error

41.6b

Counts

2 → 36

Calls

2 calls:

120.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
80.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5205	901

prune61.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	56	12	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	12	69

Error

41.5b

Counts

69 → 12

Compiler

Compiled 1132 to 452 computations (60.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 z 1) (*.f64 x y))
8.9b	(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.5b

Rules

16×	`add-log-exp_binary64_1822`
6×	`sum-log_binary64_1874`
5×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
3×	`diff-log_binary64_1875` `add-cube-cbrt_binary64_1818` `cancel-sign-sub-inv_binary64_1749`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
1×	`flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `associate--r+_binary64_1719` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-+l+_binary64_1716` `+-commutative_binary64_1713`

Counts

2 → 32

Calls

2 calls:

8.0ms	(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))
6.0ms	(+.f64 (+.f64 z 1) (*.f64 x y))

Compiler

Compiled 799 to 399 computations (50.1% saved)

series232.0ms (3%)

Error

41.5b

Counts

2 → 36

Calls

2 calls:

120.0ms	(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))
89.0ms	(+.f64 (+.f64 z 1) (*.f64 x y))

Compiler

Compiled 1162 to 815 computations (29.9% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5061	980

prune68.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	66	14	80

Error

41.5b

Counts

80 → 14

Compiler

Compiled 1381 to 716 computations (48.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3)
2.1b	(-.f64 (fma.f64 x y z) (+.f64 z 1))
8.5b	(-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y))
8.8b	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3))

rewrite156.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

Rules

21×	`*-un-lft-identity_binary64_1783`
18×	`add-log-exp_binary64_1822`
14×	`add-sqr-sqrt_binary64_1805`
12×	`add-cube-cbrt_binary64_1818` `cbrt-prod_binary64_1814`
9×	`cancel-sign-sub-inv_binary64_1749`
7×	`diff-log_binary64_1875`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
5×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate--l+_binary64_1720`
4×	`flip3--_binary64_1787` `cube-div_binary64_1812` `flip--_binary64_1758`
3×	`sub-neg_binary64_1776` `distribute-lft-out_binary64_1734` `pow-unpow_binary64_1860`
2×	`cbrt-div_binary64_1815` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `sum-log_binary64_1874` `distribute-lft-out--_binary64_1735`
1×	`pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `associate--l-_binary64_1721` `difference-of-squares_binary64_1752` `associate--r+_binary64_1719` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806`

Counts

4 → 88

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y))
9.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3))
9.0ms	(pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3)
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 z 1))

Compiler

Compiled 2444 to 1216 computations (50.2% saved)

series1.0s (13.3%)

Error

41.5b

Counts

4 → 84

Calls

4 calls:

597.0ms	(pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3)
117.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y)) 3))
116.0ms	(-.f64 (-.f64 (fma.f64 x y z) (+.f64 z 1)) (*.f64 x y))
63.0ms	(-.f64 (fma.f64 x y z) (+.f64 z 1))

Compiler

Compiled 8318 to 5150 computations (38.1% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5536	6824

prune240.0ms (3.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	161	11	172
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	164	22	186

Error

29.2b

Counts

186 → 22

Compiler

Compiled 6112 to 2701 computations (55.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3)
1.9b	(-.f64 (fma.f64 x y z) z)
2.9b	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3))
8.5b	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y))

rewrite149.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

Rules

15×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
13×	`add-cube-cbrt_binary64_1818`
12×	`associate--l+_binary64_1720` `cbrt-prod_binary64_1814`
10×	`cancel-sign-sub-inv_binary64_1749`
7×	`diff-log_binary64_1875`
6×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
5×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `cube-div_binary64_1812`
3×	`pow-unpow_binary64_1860`
2×	`cbrt-div_binary64_1815` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755`
1×	`associate--l-_binary64_1721` `pow1/3_binary64_1865` `rem-cbrt-cube_binary64_1807` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806`

Counts

4 → 87

Calls

4 calls:

11.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y))
10.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3))
10.0ms	(pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3)
4.0ms	(-.f64 (fma.f64 x y z) z)

Compiler

Compiled 2400 to 1025 computations (57.3% saved)

series1.1s (13.5%)

Error

29.2b

Counts

4 → 84

Calls

4 calls:

608.0ms	(pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3)
127.0ms	(-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y))
118.0ms	(cbrt.f64 (pow.f64 (-.f64 (-.f64 (-.f64 (fma.f64 x y z) z) 1) (*.f64 x y)) 3))
58.0ms	(-.f64 (fma.f64 x y z) z)

Compiler

Compiled 8326 to 5150 computations (38.1% saved)

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5413	6715

prune202.0ms (2.6%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	3	18	21
Picked	1	0	1
Done	0	0	0
Total	172	21	193

Error

29.2b

Counts

193 → 21

Compiler

Compiled 5415 to 2223 computations (58.9% saved)

regimes621.0ms (7.9%)

Accuracy

Total 1.0b remaining (3.2%)

Threshold costs 1.0b (3.2%)

Compiler

Compiled 9338 to 5856 computations (37.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	17
1	69	17

end0.0ms (0%)

sample2.7s (34%)

Algorithm

1×

intervals

Results

340.0ms	2748×	body	1024	valid
175.0ms	1166×	body	2048	valid
114.0ms	1266×	body	512	valid
72.0ms	2256×	body	128	valid
34.0ms	563×	body	256	valid
0.0ms	1×	body	4096	valid

Compiler

Compiled 2353 to 1481 computations (37.1% saved)

Details

analyze567.0ms (7.2%)

sample34.0ms (0.4%)

simplify47.0ms (0.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite51.0ms (0.7%)

series222.0ms (2.8%)

simplify71.0ms (0.9%)

prune61.0ms (0.8%)

localize10.0ms (0.1%)

rewrite49.0ms (0.6%)

series232.0ms (3%)

simplify67.0ms (0.9%)

prune68.0ms (0.9%)

localize11.0ms (0.1%)

rewrite156.0ms (2%)

series1.0s (13.3%)

simplify89.0ms (1.1%)

prune240.0ms (3.1%)

localize14.0ms (0.2%)

rewrite149.0ms (1.9%)

series1.1s (13.5%)

simplify90.0ms (1.2%)

prune202.0ms (2.6%)

regimes621.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.7s (34%)

Profiling