Details

analyze312.0ms (5.7%)

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
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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	247×	body	128	valid
1.0ms	25×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	4×	body	256	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))
0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
4×	`add-log-exp_binary64_10347` `associate-r_binary64_10248` `pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `add-exp-log_binary64_10346`
3×	`associate-l_binary64_10249`
2×	`distribute-lft-in_binary64_10257` `associate-*r/_binary64_10250` `distribute-rgt-in_binary64_10258` `flip-+_binary64_10282` `flip3-+_binary64_10311` `associate-+l+_binary64_10241`
1×	`cbrt-unprod_binary64_10341` `sum-log_binary64_10399` `prod-exp_binary64_10357` `+-commutative_binary64_10238` `distribute-lft-out_binary64_10259` `pow-prod-down_binary64_10379` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

2 → 36

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))
0.0ms	(*.f64 x (+.f64 y z))
0.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series234.0ms (4.3%)

Counts

2 → 33

Calls

2 calls:

151.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
83.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 465 to 406 computations (12.7% saved)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5032	713

prune57.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	5	70

Error

0.0b

Counts

70 → 5

Compiler

Compiled 835 to 354 computations (57.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))
0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
4×	`add-log-exp_binary64_10347` `associate-r_binary64_10248` `pow1_binary64_10369` `add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `add-exp-log_binary64_10346`
3×	`associate-l_binary64_10249`
2×	`distribute-lft-in_binary64_10257` `associate-*r/_binary64_10250` `distribute-rgt-in_binary64_10258` `associate-+r+_binary64_10240` `flip-+_binary64_10282` `flip3-+_binary64_10311`
1×	`cbrt-unprod_binary64_10341` `sum-log_binary64_10399` `prod-exp_binary64_10357` `+-commutative_binary64_10238` `distribute-lft-out_binary64_10259` `pow-prod-down_binary64_10379` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

2 → 36

Calls

4 calls:

7.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0ms	(*.f64 z (+.f64 x 5))

series207.0ms (3.8%)

Counts

2 → 27

Calls

2 calls:

150.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
57.0ms	(*.f64 z (+.f64 x 5))

Compiler

Compiled 378 to 329 computations (13% saved)

simplify105.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4956	680
1	4956	680

prune48.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	2	1	3
Picked	0	1	1
Done	1	0	1
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 783 to 402 computations (48.7% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.0b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
3.1b	(.f64 z (-.f64 (.f64 x x) 25))
0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
0.0b	(-.f64 (*.f64 x x) 25)
0.0b	(-.f64 (*.f64 x x) 25)
0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
3.1b	(.f64 z (-.f64 (.f64 x x) 25))
7.0b	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_10330`
15×	`*-un-lft-identity_binary64_10308`
11×	`add-cbrt-cube_binary64_10344` `add-cube-cbrt_binary64_10343` `add-exp-log_binary64_10346`
9×	`cancel-sign-sub-inv_binary64_10274`
8×	`add-log-exp_binary64_10347`
6×	`pow1_binary64_10369`
5×	`associate-/r*_binary64_10252` `times-frac_binary64_10314`
4×	`distribute-lft-in_binary64_10257` `associate-r/_binary64_10250` `distribute-rgt-in_binary64_10258` `flip--_binary64_10283` `associate-r*_binary64_10248` `flip3--_binary64_10312` `difference-of-squares_binary64_10277`
3×	`sub-neg_binary64_10301` `associate-l_binary64_10249`
2×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `associate-/l/_binary64_10255` `div-exp_binary64_10359` `associate-/r/_binary64_10254` `distribute-lft-out--_binary64_10260` `cbrt-undiv_binary64_10342`
1×	`sum-log_binary64_10399` `associate-/l_binary64_10253` `clear-num_binary64_10307` `flip-+_binary64_10282` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `flip3-+_binary64_10311` `diff-log_binary64_10400` `div-inv_binary64_10305` `frac-2neg_binary64_10319` `-commutative_binary64_10239` `unswap-sqr_binary64_10276`

Counts

4 → 84

Calls

8 calls:

13.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
9.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
9.0ms	(.f64 z (-.f64 (.f64 x x) 25))
5.0ms	(-.f64 (*.f64 x x) 25)
0.0ms	(-.f64 (*.f64 x x) 25)

series669.0ms (12.3%)

Counts

4 → 42

Calls

4 calls:

403.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (-.f64 (*.f64 x x) 25)) (-.f64 x 5)))
144.0ms	(/.f64 (.f64 z (-.f64 (.f64 x x) 25)) (-.f64 x 5))
90.0ms	(.f64 z (-.f64 (.f64 x x) 25))
33.0ms	(-.f64 (*.f64 x x) 25)

Compiler

Compiled 926 to 789 computations (14.8% saved)

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4927	1819
1	4927	1819

prune113.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	125	5	130

Error

0.0b

Counts

130 → 5

Compiler

Compiled 2307 to 1184 computations (48.7% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

7.1b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.0b	(-.f64 (*.f64 x x) 25)
0.0b	(-.f64 (*.f64 x x) 25)
0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
0.3b	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
7.1b	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))

rewrite79.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_10314`
152×	`add-sqr-sqrt_binary64_10330`
125×	`*-un-lft-identity_binary64_10308`
83×	`add-cube-cbrt_binary64_10343`
48×	`difference-of-squares_binary64_10277`
30×	`associate-/r*_binary64_10252`
21×	`distribute-lft-out--_binary64_10260`
11×	`associate-/r/_binary64_10254` `add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
8×	`associate-/l*_binary64_10253` `add-log-exp_binary64_10347`
7×	`flip--_binary64_10283` `flip3--_binary64_10312`
6×	`div-inv_binary64_10305`
4×	`div-exp_binary64_10359` `pow1_binary64_10369` `cbrt-undiv_binary64_10342`
3×	`cancel-sign-sub-inv_binary64_10274`
2×	`associate-/l/_binary64_10255` `clear-num_binary64_10307` `frac-2neg_binary64_10319`
1×	`sum-log_binary64_10399` `sub-neg_binary64_10301` `flip-+_binary64_10282` `+-commutative_binary64_10238` `flip3-+_binary64_10311` `diff-log_binary64_10400` `div-sub_binary64_10313`

Counts

4 → 194

Calls

8 calls:

25.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
15.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
11.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))
5.0ms	(-.f64 (*.f64 x x) 25)
0.0ms	(-.f64 (*.f64 x x) 25)

series615.0ms (11.3%)

Counts

4 → 44

Calls

4 calls:

393.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (-.f64 x 5) (-.f64 (.f64 x x) 25))))
138.0ms	(/.f64 z (/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25)))
47.0ms	(/.f64 (-.f64 x 5) (-.f64 (*.f64 x x) 25))
36.0ms	(-.f64 (*.f64 x x) 25)

Compiler

Compiled 923 to 795 computations (13.9% saved)

simplify109.0ms (2%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4988	5683
1	4988	5683

prune266.0ms (4.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	239	4	243

Error

0.0b

Counts

243 → 4

Compiler

Compiled 5484 to 2924 computations (46.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	203	521
1	203	521

regimes191.0ms (3.5%)

Compiler: Compiled 1543 to 1254 computations (18.7% saved)

bsearch0.0ms (0%)

regimes102.0ms (1.9%)

Compiler: Compiled 147 to 195 computations (-32.7% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
8	1.598830498415577e-09	2.0500458528901128e-06	2.0114589857942678e-06
9	-6.058502052588267	-8.595904223601604e-09	-5.026282814293944

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes92.0ms (1.7%)

Compiler: Compiled 105 to 153 computations (-45.7% saved)

bsearch29.0ms (0.5%)

Steps

Iters	Range		Point
8	1.598830498415577e-09	2.0500458528901128e-06	2.0114589857942678e-06
9	-6.058502052588267	-8.595904223601604e-09	-5.026282814293944

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes112.0ms (2.1%)

Compiler: Compiled 84 to 132 computations (-57.1% saved)

bsearch34.0ms (0.6%)

Steps

Iters	Range		Point
10	2.226685029435215e-40	2.6109514912629377e-30	2.1845142003323496e-38
8	-2.5740098270659594e+17	-559385906842411.8	-565496177364692.6

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes334.0ms (6.2%)

Compiler: Compiled 48 to 99 computations (-106.3% saved)

bsearch90.0ms (1.7%)

Steps

Iters	Range		Point
9	7.857647697046286e+122	3.522506445846353e+128	8.2222813910697e+122
8	1.4422825158716611e+100	3.134314485676684e+104	1.6660486706183525e+104
9	9.416865607738063e+57	2.5071458823905792e+64	4.175646833467339e+59
7	1.6838397494686794e+42	3.6997456632001844e+43	3.040603856798374e+43
8	6.573315363319288e+18	1.17514977323275e+22	4.417178571254344e+21
8	-4.354229775314422e+133	-9.743869103629235e+130	-1.050798223962226e+131

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes92.0ms (1.7%)

Compiler: Compiled 33 to 81 computations (-145.5% saved)

bsearch26.0ms (0.5%)

Steps

Iters	Range		Point
10	2.226685029435215e-40	2.6109514912629377e-30	1.0119030701395858e-36
7	-4.479212924563544e-19	-9.849408037865327e-21	-1.7523004913474226e-19

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.5%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes27.0ms (0.5%)

Accuracy

Total 0.1b remaining (94.3%)

Threshold costs 0.1b (94.3%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 152 to 102 computations (32.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	198
1	79	198

end0.0ms (0%)

sample1.0s (18.9%)

Algorithm

1×

intervals

Results

221.0ms	7705×	body	128	valid
18.0ms	686×	body	128	invalid
14.0ms	155×	body	1024	valid
6.0ms	83×	body	512	valid
3.0ms	57×	body	256	valid

Compiler

Compiled 511 to 412 computations (19.4% saved)

Pareto

0.4746730119927016

Details

analyze312.0ms (5.7%)

sample17.0ms (0.3%)

simplify103.0ms (1.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite18.0ms (0.3%)

series234.0ms (4.3%)

simplify78.0ms (1.4%)

prune57.0ms (1%)

localize6.0ms (0.1%)

rewrite14.0ms (0.3%)

series207.0ms (3.8%)

simplify105.0ms (1.9%)

prune48.0ms (0.9%)

localize13.0ms (0.2%)

rewrite43.0ms (0.8%)

series669.0ms (12.3%)

simplify65.0ms (1.2%)

prune113.0ms (2.1%)

localize13.0ms (0.2%)

rewrite79.0ms (1.5%)

series615.0ms (11.3%)

simplify109.0ms (2%)

prune266.0ms (4.9%)

simplify11.0ms (0.2%)

regimes191.0ms (3.5%)

bsearch0.0ms (0%)

regimes102.0ms (1.9%)

bsearch29.0ms (0.5%)

regimes92.0ms (1.7%)

bsearch29.0ms (0.5%)

regimes112.0ms (2.1%)

bsearch34.0ms (0.6%)

regimes334.0ms (6.2%)

bsearch90.0ms (1.7%)

regimes92.0ms (1.7%)

bsearch26.0ms (0.5%)

regimes29.0ms (0.5%)

bsearch0.0ms (0%)

regimes27.0ms (0.5%)

bsearch7.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.0s (18.9%)

Profiling