Details

analyze706.0ms (8.4%)

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

Symmetry

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample33.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	74×	body	1024	valid
6.0ms	39×	body	2048	valid
4.0ms	47×	body	512	valid
3.0ms	84×	body	128	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify29.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

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

42.4b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.1b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.9b

Rules

13×	`add-log-exp_binary64_2163`
10×	`*-un-lft-identity_binary64_2124`
5×	`add-sqr-sqrt_binary64_2146`
4×	`sum-log_binary64_2215` `cancel-sign-sub-inv_binary64_2090`
3×	`diff-log_binary64_2216` `add-cube-cbrt_binary64_2159`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `distribute-lft-out_binary64_2075` `distribute-lft-out--_binary64_2076`
1×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `associate--r+_binary64_2060` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`

Counts

2 → 32

Calls

2 calls:

9.0ms	(-.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)

series197.0ms (2.3%)

Error

41.3b

Counts

2 → 36

Calls

2 calls:

99.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
78.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5205	901

prune60.0ms (0.7%)

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

41.2b

Counts

69 → 12

Compiler

Compiled 1132 to 452 computations (60.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 z 1) (*.f64 x y))
11.1b	(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.2b

Rules

16×	`add-log-exp_binary64_2163`
6×	`sum-log_binary64_2215`
5×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
3×	`diff-log_binary64_2216` `add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090`
2×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`

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)

series241.0ms (2.9%)

Error

41.2b

Counts

2 → 36

Calls

2 calls:

118.0ms	(-.f64 (fma.f64 x y z) (+.f64 (+.f64 z 1) (*.f64 x y)))
99.0ms	(+.f64 (+.f64 z 1) (*.f64 x y))

Compiler

Compiled 1162 to 815 computations (29.9% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5061	980

prune68.0ms (0.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	66	14	80

Error

41.2b

Counts

80 → 14

Compiler

Compiled 1392 to 728 computations (47.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) (*.f64 x y))
3.6b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
12.0b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
28.7b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))

rewrite168.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

41.1b

Rules

43×	`pow1_binary64_2185`
21×	`*-un-lft-identity_binary64_2124`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
17×	`pow-prod-down_binary64_2195`
16×	`add-sqr-sqrt_binary64_2146`
14×	`add-cube-cbrt_binary64_2159`
12×	`times-frac_binary64_2130`
11×	`add-log-exp_binary64_2163`
8×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
6×	`difference-of-squares_binary64_2093`
5×	`cancel-sign-sub-inv_binary64_2090`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `associate-/l*_binary64_2069` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`associate-/r*_binary64_2068` `diff-log_binary64_2216`
2×	`div-sub_binary64_2129` `associate-/l/_binary64_2071` `associate-/r/_binary64_2070` `sub-neg_binary64_2117` `distribute-lft-out_binary64_2075` `distribute-lft-out--_binary64_2076` `pow-plus_binary64_2187`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `associate-+r-_binary64_2058` `associate--r-_binary64_2063` `associate--r+_binary64_2060` `pow2_binary64_2205` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 104

Calls

4 calls:

18.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
12.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))
10.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 3722 to 747 computations (79.9% saved)

series1.0s (12.4%)

Error

41.2b

Counts

4 → 60

Calls

4 calls:

448.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))))
262.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z)) (-.f64 (*.f64 x y) z))
222.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
69.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 2340 to 1471 computations (37.1% saved)

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	2368
1	4957	2368

prune165.0ms (2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	154	10	164
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	158	20	178

Error

41.1b

Counts

178 → 20

Compiler

Compiled 4076 to 1423 computations (65.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(+.f64 (-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)))) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
11.5b	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))))
17.9b	(/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))
19.8b	(/.f64 (.f64 z z) (-.f64 (.f64 x y) z))

rewrite216.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

41.1b

Rules

37×	`*-un-lft-identity_binary64_2124`
21×	`add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130`
19×	`add-cube-cbrt_binary64_2159`
18×	`add-log-exp_binary64_2163`
17×	`add-exp-log_binary64_2162`
11×	`add-cbrt-cube_binary64_2160`
8×	`cancel-sign-sub-inv_binary64_2090`
7×	`associate-/l*_binary64_2069` `distribute-lft-out_binary64_2075`
6×	`div-exp_binary64_2175` `associate-/r*_binary64_2068`
5×	`sum-log_binary64_2215` `associate-+l+_binary64_2057`
4×	`pow1_binary64_2185` `flip3--_binary64_2128` `associate-/r/_binary64_2070` `flip--_binary64_2099` `unpow-prod-down_binary64_2203` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `diff-log_binary64_2216` `distribute-lft-out--_binary64_2076`
3×	`cbrt-undiv_binary64_2158`
2×	`prod-exp_binary64_2173` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `pow-exp_binary64_2192` `sub-neg_binary64_2117` `frac-add_binary64_2132`
1×	`cbrt-unprod_binary64_2157` `pow-to-exp_binary64_2193` `difference-of-squares_binary64_2093` `associate--r+_binary64_2060` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+l-_binary64_2059` `+-commutative_binary64_2054`

Counts

4 → 111

Calls

4 calls:

23.0ms	(+.f64 (-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)))) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
15.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))))
10.0ms	(/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))
7.0ms	(/.f64 (.f64 z z) (-.f64 (.f64 x y) z))

Compiler

Compiled 4661 to 1401 computations (69.9% saved)

series879.0ms (10.5%)

Error

41.1b

Counts

4 → 77

Calls

4 calls:

439.0ms	(+.f64 (-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z)))) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
154.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))))
150.0ms	(/.f64 (pow.f64 (.f64 x y) 2) (-.f64 (.f64 x y) z))
83.0ms	(/.f64 (.f64 z z) (-.f64 (.f64 x y) z))

Compiler

Compiled 4442 to 2399 computations (46% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5310	4451

prune180.0ms (2.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	179	9	188
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	183	25	208

Error

41.1b

Counts

208 → 25

Compiler

Compiled 5738 to 1557 computations (72.9% saved)

regimes871.0ms (10.4%)

Accuracy

Total 1.4b remaining (3.1%)

Threshold costs 0b (0%)

Compiler

Compiled 15797 to 7697 computations (51.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	22
1	98	22

Removed

()

end0.0ms (0%)

sample3.1s (37.1%)

Algorithm

1×

intervals

Results

317.0ms	2643×	body	1024	valid
175.0ms	1179×	body	2048	valid
129.0ms	1317×	body	512	valid
81.0ms	2324×	body	128	valid
35.0ms	535×	body	256	valid
0.0ms	2×	body	4096	valid

Compiler

Compiled 3952 to 1933 computations (51.1% saved)

Details

analyze706.0ms (8.4%)

sample33.0ms (0.4%)

simplify29.0ms (0.4%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite47.0ms (0.6%)

series197.0ms (2.3%)

simplify67.0ms (0.8%)

prune60.0ms (0.7%)

localize11.0ms (0.1%)

rewrite48.0ms (0.6%)

series241.0ms (2.9%)

simplify68.0ms (0.8%)

prune68.0ms (0.8%)

localize12.0ms (0.1%)

rewrite168.0ms (2%)

series1.0s (12.4%)

simplify71.0ms (0.8%)

prune165.0ms (2%)

localize14.0ms (0.2%)

rewrite216.0ms (2.6%)

series879.0ms (10.5%)

simplify67.0ms (0.8%)

prune180.0ms (2.1%)

regimes871.0ms (10.4%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (37.1%)

Profiling