Details

analyze39.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample35.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	41×	body	2048	valid
8.0ms	51×	body	1024	valid
3.0ms	112×	body	128	valid
3.0ms	33×	body	512	valid
1.0ms	19×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify162.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune2.0ms (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

Error

26.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)
0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2146`
6×	`add-log-exp_binary64_2163` `*-un-lft-identity_binary64_2124`
3×	`cancel-sign-sub-inv_binary64_2090` `add-cube-cbrt_binary64_2159`
2×	`difference-of-squares_binary64_2093` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `exp-to-pow_binary64_2186` `diff-log_binary64_2216` `rem-exp-log_binary64_2164` `sub-neg_binary64_2117` `exp-prod_binary64_2176` `difference-of-sqr-1_binary64_2094`

Counts

2 → 28

Calls

4 calls:

5.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
2.0ms	(exp.f64 (*.f64 a x))
0.0ms	(exp.f64 (*.f64 a x))
0.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)

series79.0ms (1.5%)

Counts

2 → 24

Calls

2 calls:

47.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
32.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 348 to 316 computations (9.2% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4917	652
1	4917	652

prune66.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Error

0.2b

Counts

53 → 5

Compiler

Compiled 636 to 312 computations (50.9% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

0.2b

Counts

5 → 5

Compiler

Compiled 79 to 54 computations (31.6% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
0.0b	(pow.f64 (exp.f64 (*.f64 a x)) 2)
0.0b	(+.f64 (exp.f64 (*.f64 a x)) 1)
0.0b	(exp.f64 (*.f64 a x))
0.0b	(exp.f64 (*.f64 a x))
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) -1) (+.f64 (exp.f64 (.f64 a x)) 1))
4.0b	(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)

rewrite32.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_2124`
32×	`times-frac_binary64_2130`
30×	`add-sqr-sqrt_binary64_2146`
24×	`difference-of-sqr--1_binary64_2095`
18×	`add-cube-cbrt_binary64_2159`
15×	`distribute-lft-out_binary64_2075`
10×	`add-log-exp_binary64_2163`
8×	`associate-/l*_binary64_2069`
6×	`unpow-prod-down_binary64_2203` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`pow1_binary64_2185` `associate-/r*_binary64_2068`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`associate-/r/_binary64_2070` `exp-to-pow_binary64_2186` `rem-exp-log_binary64_2164` `exp-prod_binary64_2176` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `sum-log_binary64_2215` `+-commutative_binary64_2054` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

4 → 96

Calls

8 calls:

12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) -1) (+.f64 (exp.f64 (.f64 a x)) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
2.0ms	(exp.f64 (*.f64 a x))
2.0ms	(exp.f64 (*.f64 a x))
0.0ms	(+.f64 (exp.f64 (*.f64 a x)) 1)

series304.0ms (5.8%)

Counts

4 → 48

Calls

4 calls:

154.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 a x)) 2) -1) (+.f64 (exp.f64 (.f64 a x)) 1))
80.0ms	(+.f64 (pow.f64 (exp.f64 (*.f64 a x)) 2) -1)
35.0ms	(exp.f64 (*.f64 a x))
34.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 1200 to 940 computations (21.7% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5309	3000

prune192.0ms (3.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	138	6	144
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	142	7	149

Error

0.1b

Counts

149 → 7

Compiler

Compiled 3150 to 1611 computations (48.9% saved)

localize9.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (.f64 a x) (+.f64 (*.f64 a x) 1))
0.0b	(/.f64 (.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 a x) 1))) (+.f64 (exp.f64 (*.f64 a x)) 1))
0.0b	(exp.f64 (*.f64 a x))
0.0b	(+.f64 (exp.f64 (*.f64 a x)) 1)
0.0b	(+.f64 (exp.f64 (*.f64 a x)) 1)
0.0b	(exp.f64 (*.f64 a x))
0.0b	(/.f64 (.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 a x) 1))) (+.f64 (exp.f64 (*.f64 a x)) 1))
0.1b	(.f64 (.f64 a x) (+.f64 (*.f64 a x) 1))

rewrite36.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`*-un-lft-identity_binary64_2124`
9×	`pow1_binary64_2185` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
8×	`add-log-exp_binary64_2163`
7×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
6×	`associate-*r/_binary64_2066`
4×	`cbrt-undiv_binary64_2158` `associate-/r*_binary64_2068` `flip3-+_binary64_2127` `flip-+_binary64_2098` `times-frac_binary64_2130` `div-exp_binary64_2175`
3×	`pow-prod-down_binary64_2195` `distribute-lft-out_binary64_2075` `associate-r_binary64_2064`
2×	`associate-/r/_binary64_2070` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `sum-log_binary64_2215` `associate-/l_binary64_2069` `-commutative_binary64_2055` `exp-to-pow_binary64_2186` `associate-l_binary64_2065` `rem-exp-log_binary64_2164` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `exp-prod_binary64_2176` `div-inv_binary64_2121` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`

Counts

4 → 75

Calls

8 calls:

14.0ms	(/.f64 (.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 a x) 1))) (+.f64 (exp.f64 (*.f64 a x)) 1))
8.0ms	(.f64 (.f64 a x) (+.f64 (*.f64 a x) 1))
4.0ms	(exp.f64 (*.f64 a x))
3.0ms	(+.f64 (exp.f64 (*.f64 a x)) 1)
0.0ms	(+.f64 (exp.f64 (*.f64 a x)) 1)

series390.0ms (7.4%)

Counts

4 → 40

Calls

4 calls:

220.0ms	(/.f64 (.f64 2 (.f64 (.f64 a x) (+.f64 (.f64 a x) 1))) (+.f64 (exp.f64 (*.f64 a x)) 1))
114.0ms	(.f64 (.f64 a x) (+.f64 (*.f64 a x) 1))
30.0ms	(+.f64 (exp.f64 (*.f64 a x)) 1)
26.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 1230 to 900 computations (26.8% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4986	1922
1	4986	1922

prune118.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	113	9	122

Error

0.0b

Counts

122 → 9

Compiler

Compiled 2397 to 1124 computations (53.1% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	174	1034
1	174	1034

regimes392.0ms (7.5%)

Compiler: Compiled 3078 to 2151 computations (30.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes326.0ms (6.2%)

Compiler: Compiled 2073 to 1506 computations (27.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes208.0ms (4%)

Compiler: Compiled 891 to 721 computations (19.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes200.0ms (3.8%)

Compiler: Compiled 816 to 666 computations (18.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes104.0ms (2%)

Compiler: Compiled 241 to 200 computations (17% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes98.0ms (1.9%)

Compiler: Compiled 184 to 161 computations (12.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes87.0ms (1.7%)

Compiler: Compiled 133 to 128 computations (3.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes81.0ms (1.5%)

Compiler: Compiled 94 to 98 computations (-4.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

regimes37.0ms (0.7%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch59.0ms (1.1%)

Steps

Iters	Range		Point
9	9.432447471238863e-165	1.8533347689202793e-156	1.5363608940131005e-158
8	-1.7192462429699547e-51	-4.256419592828285e-54	-2.330076445311019e-53

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.3%)

Accuracy

Total 0.3b remaining (82.7%)

Threshold costs 0.3b (82.7%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch12.0ms (0.2%)

Compiler: Compiled 264 to 173 computations (34.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	69	390
1	69	390

end0.0ms (0%)

sample1.9s (35.8%)

Algorithm

1×

intervals

Results

408.0ms	1460×	body	2048	valid
251.0ms	1724×	body	1024	valid
85.0ms	1083×	body	512	valid
80.0ms	3124×	body	128	valid
34.0ms	609×	body	256	valid
4.0ms	145×	body	128	invalid

Compiler

Compiled 962 to 659 computations (31.5% saved)

Pareto

0.9818617002235193

Details

analyze39.0ms (0.7%)

sample35.0ms (0.7%)

simplify162.0ms (3.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite8.0ms (0.2%)

series79.0ms (1.5%)

simplify65.0ms (1.2%)

prune66.0ms (1.2%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

rewrite32.0ms (0.6%)

series304.0ms (5.8%)

simplify80.0ms (1.5%)

prune192.0ms (3.7%)

localize9.0ms (0.2%)

rewrite36.0ms (0.7%)

series390.0ms (7.4%)

simplify78.0ms (1.5%)

prune118.0ms (2.3%)

simplify13.0ms (0.3%)

regimes392.0ms (7.5%)

bsearch2.0ms (0%)

regimes326.0ms (6.2%)

bsearch1.0ms (0%)

regimes208.0ms (4%)

bsearch1.0ms (0%)

regimes200.0ms (3.8%)

bsearch1.0ms (0%)

regimes104.0ms (2%)

bsearch1.0ms (0%)

regimes98.0ms (1.9%)

bsearch1.0ms (0%)

regimes87.0ms (1.7%)

bsearch1.0ms (0%)

regimes81.0ms (1.5%)

bsearch1.0ms (0%)

regimes37.0ms (0.7%)

bsearch59.0ms (1.1%)

regimes15.0ms (0.3%)

bsearch12.0ms (0.2%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.9s (35.8%)

Profiling