Details

analyze417.0ms (9.3%)

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample41.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	47×	body	1024	valid
9.0ms	168×	body	128	valid
4.0ms	26×	body	512	valid
4.0ms	1×	body	512	invalid
2.0ms	15×	body	256	valid
1.0ms	10×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify165.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune3.0ms (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

Merged error: 3.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
3.0b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_15937`
22×	`times-frac_binary64_15922`
21×	`add-cube-cbrt_binary64_15948` `*-un-lft-identity_binary64_15916`
19×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
13×	`associate-r_binary64_15858`
6×	`div-exp_binary64_15964` `associate-/r*_binary64_15862` `cbrt-undiv_binary64_15947`
5×	`pow1_binary64_15974`
4×	`associate-/l*_binary64_15863` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946`
3×	`associate-l_binary64_15859` `add-log-exp_binary64_15952` `div-inv_binary64_15913`
2×	`clear-num_binary64_15915` `associate-*r/_binary64_15860` `frac-2neg_binary64_15927` `unswap-sqr_binary64_15884`
1×	`pow-prod-down_binary64_15984` `associate-/l/_binary64_15865` `*-commutative_binary64_15849`

Counts

3 → 83

Calls

3 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
4.0ms	(/.f64 (sin.f64 y) y)

series250.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
92.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4935	1161
1	4935	1161

prune74.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 1250 to 349 computations (72.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.2b	(/.f64 (sin.f64 y) y)
2.6b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_15922`
98×	`add-sqr-sqrt_binary64_15937`
89×	`add-cube-cbrt_binary64_15948` `*-un-lft-identity_binary64_15916`
43×	`associate-r_binary64_15858`
19×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
16×	`associate-/l*_binary64_15863`
10×	`div-inv_binary64_15913`
7×	`div-exp_binary64_15964` `cbrt-undiv_binary64_15947`
6×	`associate-/r*_binary64_15862`
5×	`pow1_binary64_15974`
3×	`associate-l_binary64_15859` `add-log-exp_binary64_15952` `prod-exp_binary64_15962` `cbrt-unprod_binary64_15946` `unswap-sqr_binary64_15884`
2×	`clear-num_binary64_15915` `frac-2neg_binary64_15927`
1×	`pow-prod-down_binary64_15984` `associate-/l/_binary64_15865` `associate-r/_binary64_15860` `-commutative_binary64_15849`

Counts

3 → 162

Calls

3 calls:

17.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series219.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
59.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
35.0ms	(/.f64 (sin.f64 y) y)

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	2931

prune119.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	171	8	179

Merged error: 0b

Counts

179 → 8

Compiler

Compiled 2837 to 616 computations (78.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.2b	(/.f64 (sin.f64 y) y)
2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite63.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

480×	`times-frac_binary64_15922`
238×	`add-cube-cbrt_binary64_15948` `add-sqr-sqrt_binary64_15937` `*-un-lft-identity_binary64_15916`
60×	`associate-/r*_binary64_15862`
23×	`div-inv_binary64_15913`
19×	`add-cbrt-cube_binary64_15949` `add-exp-log_binary64_15951`
10×	`div-exp_binary64_15964` `cbrt-undiv_binary64_15947`
9×	`associate-/l*_binary64_15863`
6×	`associate-/r/_binary64_15864`
3×	`clear-num_binary64_15915` `frac-2neg_binary64_15927` `pow1_binary64_15974` `add-log-exp_binary64_15952`

Counts

3 → 293

Calls

3 calls:

14.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
10.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series311.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

149.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
127.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
35.0ms	(/.f64 (sin.f64 y) y)

simplify125.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5119	7392

prune392.0ms (8.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	302	8	310

Merged error: 0b

Counts

310 → 8

Compiler

Compiled 5674 to 929 computations (83.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

rewrite65.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

159×	`times-frac_binary64_15922`
106×	`add-sqr-sqrt_binary64_15937`
94×	`*-un-lft-identity_binary64_15916`
92×	`add-cube-cbrt_binary64_15948`
64×	`add-exp-log_binary64_15951`
44×	`associate-r_binary64_15858`
34×	`add-cbrt-cube_binary64_15949`
30×	`div-exp_binary64_15964`
19×	`associate-/r*_binary64_15862`
14×	`cbrt-undiv_binary64_15947` `prod-exp_binary64_15962`
11×	`div-inv_binary64_15913`
7×	`pow1_binary64_15974` `associate-/l*_binary64_15863`
6×	`rec-exp_binary64_15963` `cbrt-unprod_binary64_15946` `1-exp_binary64_15957`
5×	`unswap-sqr_binary64_15884`
4×	`add-log-exp_binary64_15952`
3×	`clear-num_binary64_15915` `associate-l_binary64_15859` `frac-2neg_binary64_15927`
2×	`associate-/r/_binary64_15864` `associate-/l/_binary64_15865` `associate-*r/_binary64_15860` `un-div-inv_binary64_15914`
1×	`pow-prod-down_binary64_15984` `inv-pow_binary64_15998` `pow-flip_binary64_15987` `*-commutative_binary64_15849`

Counts

4 → 207

Calls

4 calls:

22.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
13.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series302.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
84.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
54.0ms	(/.f64 y (sin.f64 y))
37.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5095	3132

prune146.0ms (3.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	219	8	227

Merged error: 0b

Counts

227 → 8

Compiler

Compiled 3365 to 1074 computations (68.1% saved)

regimes130.0ms (2.9%)

Compiler: Compiled 613 to 490 computations (20.1% saved)

bsearch20.0ms (0.4%)

Steps

Iters	Range		Point
7	-1.3757961266452543e+160	-1.0591263796265196e+158	-1.0742045086655361e+158

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	30
1	15	30

end0.0ms (0%)

sample1.3s (28.9%)

Algorithm

1×

intervals

Results

353.0ms	1354×	body	1024	valid
299.0ms	5375×	body	128	valid
131.0ms	798×	body	512	valid
58.0ms	470×	body	256	valid
33.0ms	525×	body	128	invalid
7.0ms	46×	body	512	invalid
6.0ms	24×	body	1024	invalid
5.0ms	47×	body	256	invalid
1.0ms	3×	body	2048	valid

Compiler

Compiled 154 to 112 computations (27.3% saved)

Details

analyze417.0ms (9.3%)

sample41.0ms (0.9%)

simplify165.0ms (3.7%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite25.0ms (0.6%)

series250.0ms (5.6%)

simplify75.0ms (1.7%)

prune74.0ms (1.7%)

localize10.0ms (0.2%)

rewrite44.0ms (1%)

series219.0ms (4.9%)

simplify78.0ms (1.7%)

prune119.0ms (2.7%)

localize7.0ms (0.2%)

rewrite63.0ms (1.4%)

series311.0ms (6.9%)

simplify125.0ms (2.8%)

prune392.0ms (8.7%)

localize9.0ms (0.2%)

rewrite65.0ms (1.5%)

series302.0ms (6.7%)

simplify85.0ms (1.9%)

prune146.0ms (3.3%)

regimes130.0ms (2.9%)

bsearch20.0ms (0.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (28.9%)

Profiling