Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.6%	0.2%	0.2%	11
99.6%	0.1%	0.3%	12
99.6%	0%	0.3%	13
99.6%	0%	0.4%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.5%)

Algorithm

1×

intervals

Results

4.0ms	253×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify94.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune2.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x 116) 16)
0.0b	(-.f64 (*.f64 x 116) 16)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_8642` `cancel-sign-sub-inv_binary64_8569`
2×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
1×	`add-exp-log_binary64_8641` `flip3--_binary64_8607` `diff-log_binary64_8695` `add-cbrt-cube_binary64_8639` `flip--_binary64_8578` `pow1_binary64_8664` `sub-neg_binary64_8596`

Counts

1 → 14

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x 116) 16)
0.0ms	(-.f64 (*.f64 x 116) 16)

series29.0ms (1.4%)

Counts

1 → 6

Calls

1 calls:

29.0ms

(-.f64 (*.f64 x 116) 16)

Compiler

Compiled 37 to 38 computations (-2.7% saved)

simplify95.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4819	158
1	4819	158

prune17.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

0.0b

Counts

21 → 2

Compiler

Compiled 161 to 134 computations (16.8% saved)

localize11.0ms (0.5%)

Local error

Found 8 expressions with local error:

17.5b	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))
0.1b	(.f64 x (.f64 x 13456))
0.0b	(+.f64 (*.f64 x 116) 16)
0.0b	(+.f64 (.f64 x (.f64 x 13456)) -256)
0.0b	(+.f64 (.f64 x (.f64 x 13456)) -256)
0.0b	(+.f64 (*.f64 x 116) 16)
0.1b	(.f64 x (.f64 x 13456))
17.5b	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))

rewrite31.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625` `*-un-lft-identity_binary64_8603`
11×	`add-exp-log_binary64_8641` `add-cbrt-cube_binary64_8639`
9×	`times-frac_binary64_8609` `pow1_binary64_8664`
8×	`add-log-exp_binary64_8642`
4×	`flip3-+_binary64_8606` `flip-+_binary64_8577`
3×	`associate-/l_binary64_8548` `cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `associate-/r_binary64_8547` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
2×	`associate-/l/_binary64_8550` `sum-log_binary64_8694` `associate-/r/_binary64_8549` `+-commutative_binary64_8533`
1×	`div-exp_binary64_8654` `clear-num_binary64_8602` `cbrt-undiv_binary64_8637` `-commutative_binary64_8534` `div-inv_binary64_8600` `frac-2neg_binary64_8614` `associate-r*_binary64_8543`

Counts

4 → 71

Calls

8 calls:

10.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))
5.0ms	(+.f64 (.f64 x (.f64 x 13456)) -256)
5.0ms	(.f64 x (.f64 x 13456))
4.0ms	(+.f64 (*.f64 x 116) 16)
0.0ms	(+.f64 (.f64 x (.f64 x 13456)) -256)

series170.0ms (8.1%)

Counts

4 → 21

Calls

4 calls:

68.0ms	(/.f64 (+.f64 (.f64 x (.f64 x 13456)) -256) (+.f64 (*.f64 x 116) 16))
46.0ms	(+.f64 (.f64 x (.f64 x 13456)) -256)
30.0ms	(+.f64 (*.f64 x 116) 16)
26.0ms	(.f64 x (.f64 x 13456))

Compiler

Compiled 331 to 301 computations (9.1% saved)

simplify66.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5168	1414

prune90.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

0.0b

Counts

94 → 3

Compiler

Compiled 1644 to 1306 computations (20.6% saved)

localize12.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.2b	(pow.f64 (*.f64 x 116) 4)
0.1b	(.f64 x (.f64 x 13456))
0.0b	(+.f64 (*.f64 x 116) 16)
0.0b	(+.f64 (pow.f64 (*.f64 x 116) 4) -65536)
0.1b	(.f64 x (.f64 x 13456))
0.2b	(pow.f64 (*.f64 x 116) 4)
17.5b	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (.f64 x 13456)) -256)) (+.f64 (.f64 x 116) 16))
23.1b	(/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (*.f64 x 13456)) -256))

rewrite60.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_8609`
98×	`*-un-lft-identity_binary64_8603`
66×	`add-cube-cbrt_binary64_8638` `add-sqr-sqrt_binary64_8625`
22×	`associate-/l*_binary64_8548`
19×	`add-exp-log_binary64_8641`
16×	`distribute-lft-out_binary64_8554` `add-cbrt-cube_binary64_8639`
12×	`pow1_binary64_8664` `associate-/r/_binary64_8549`
6×	`associate-/r*_binary64_8547` `div-inv_binary64_8600`
5×	`flip3--_binary64_8607` `flip--_binary64_8578`
4×	`div-exp_binary64_8654` `add-log-exp_binary64_8642` `cbrt-undiv_binary64_8637` `prod-exp_binary64_8652` `pow-prod-down_binary64_8674`
3×	`cbrt-unprod_binary64_8636` `associate-l_binary64_8544` `pow-unpow_binary64_8680` `associate-/l/_binary64_8550`
2×	`flip3-+_binary64_8606` `flip-+_binary64_8577` `clear-num_binary64_8602` `pow-pow_binary64_8675` `frac-2neg_binary64_8614` `pow-exp_binary64_8671`
1×	`sqr-pow_binary64_8575` `pow-to-exp_binary64_8672` `unpow-prod-down_binary64_8682` `-commutative_binary64_8534` `associate-r*_binary64_8543`

Counts

4 → 162

Calls

8 calls:

17.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (.f64 x 13456)) -256)) (+.f64 (.f64 x 116) 16))
12.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (*.f64 x 13456)) -256))
5.0ms	(.f64 x (.f64 x 13456))
4.0ms	(pow.f64 (*.f64 x 116) 4)
0.0ms	(+.f64 (pow.f64 (*.f64 x 116) 4) -65536)

series266.0ms (12.7%)

Counts

4 → 18

Calls

4 calls:

108.0ms	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (.f64 x 13456)) -256)) (+.f64 (.f64 x 116) 16))
98.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x 116) 4) -65536) (-.f64 (.f64 x (*.f64 x 13456)) -256))
31.0ms	(pow.f64 (*.f64 x 116) 4)
28.0ms	(.f64 x (.f64 x 13456))

Compiler

Compiled 396 to 359 computations (9.3% saved)

simplify96.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5426	6298

prune359.0ms (17.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	180	3	183

Error

0.0b

Counts

183 → 3

Compiler

Compiled 5841 to 4824 computations (17.4% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	195
1	86	195

regimes61.0ms (2.9%)

Compiler: Compiled 420 to 378 computations (10% saved)

bsearch0.0ms (0%)

regimes45.0ms (2.2%)

Compiler: Compiled 22 to 30 computations (-36.4% saved)

bsearch19.0ms (0.9%)

Steps

Iters	Range		Point
10	9.934062488249883e-13	53.40830552451595	15.999513541494403
10	-21719757452941.477	-14.161992169391793	-15.90069583635299

Compiler

Compiled 3 to 3 computations (0% saved)

regimes8.0ms (0.4%)

Compiler: Compiled 6 to 10 computations (-66.7% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.4%)

Compiler: Compiled 5 to 8 computations (-60% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

Accuracy

Total 0.0b remaining (47.8%)

Threshold costs 0.0b (47.8%)

Compiler

Compiled 4 to 6 computations (-50% saved)

bsearch4.0ms (0.2%)

Compiler: Compiled 28 to 29 computations (-3.6% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	36
1	23	36

end0.0ms (0%)

sample519.0ms (24.7%)

Algorithm

1×

intervals

Results

135.0ms	7937×	body	128	valid
2.0ms	39×	body	1024	valid
1.0ms	15×	body	512	valid
0.0ms	9×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 166 to 155 computations (6.6% saved)

Pareto

0.6265776298867146

Details

analyze3.0ms (0.2%)

sample10.0ms (0.5%)

simplify94.0ms (4.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite5.0ms (0.2%)

series29.0ms (1.4%)

simplify95.0ms (4.5%)

prune17.0ms (0.8%)

localize11.0ms (0.5%)

rewrite31.0ms (1.5%)

series170.0ms (8.1%)

simplify66.0ms (3.1%)

prune90.0ms (4.3%)

localize12.0ms (0.6%)

rewrite60.0ms (2.9%)

series266.0ms (12.7%)

simplify96.0ms (4.6%)

prune359.0ms (17.1%)

simplify5.0ms (0.2%)

regimes61.0ms (2.9%)

bsearch0.0ms (0%)

regimes45.0ms (2.2%)

bsearch19.0ms (0.9%)

regimes8.0ms (0.4%)

bsearch0.0ms (0%)

regimes8.0ms (0.4%)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

bsearch4.0ms (0.2%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample519.0ms (24.7%)

Profiling