Details

analyze413.0ms (11.5%)

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)

sample35.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	43×	body	1024	valid
9.0ms	173×	body	128	valid
4.0ms	27×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	15×	body	128	invalid
0.0ms	2×	body	512	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify163.0ms (4.5%)

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: 3.4b

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 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
3.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_17285`
22×	`times-frac_binary64_17270`
21×	`*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
19×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
13×	`associate-r_binary64_17206`
6×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312` `associate-/r*_binary64_17210`
5×	`pow1_binary64_17322`
4×	`associate-/l*_binary64_17211` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294`
3×	`associate-l_binary64_17207` `add-log-exp_binary64_17300` `div-inv_binary64_17261`
2×	`clear-num_binary64_17263` `frac-2neg_binary64_17275` `unswap-sqr_binary64_17232` `associate-*r/_binary64_17208`
1×	`pow-prod-down_binary64_17332` `*-commutative_binary64_17197` `associate-/l/_binary64_17213`

Counts

3 → 83

Calls

3 calls:

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

series261.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
99.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
37.0ms	(/.f64 (sin.f64 y) y)

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4935	1161
1	4935	1161

prune69.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 0b

Counts

93 → 6

Compiler

Compiled 1234 to 340 computations (72.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
2.3b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite49.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_17270`
98×	`add-sqr-sqrt_binary64_17285`
89×	`*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
43×	`associate-r_binary64_17206`
19×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
16×	`associate-/l*_binary64_17211`
10×	`div-inv_binary64_17261`
7×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312`
6×	`associate-/r*_binary64_17210`
5×	`pow1_binary64_17322`
3×	`associate-l_binary64_17207` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-log-exp_binary64_17300` `unswap-sqr_binary64_17232`
2×	`clear-num_binary64_17263` `frac-2neg_binary64_17275`
1×	`pow-prod-down_binary64_17332` `-commutative_binary64_17197` `associate-/l/_binary64_17213` `associate-r/_binary64_17208`

Counts

3 → 162

Calls

3 calls:

21.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
8.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)

series231.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
70.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
35.0ms	(/.f64 (sin.f64 y) y)

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	2931

prune118.0ms (3.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	172	5	177

Merged error: 0b

Counts

177 → 5

Compiler

Compiled 2805 to 594 computations (78.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (sin.f64 y))
3.4b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
7.6b	(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_17270`
25×	`add-sqr-sqrt_binary64_17285`
23×	`*-un-lft-identity_binary64_17264` `add-cube-cbrt_binary64_17296`
19×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
8×	`associate-/l*_binary64_17211`
7×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312`
6×	`div-inv_binary64_17261` `associate-/r*_binary64_17210`
5×	`pow1_binary64_17322`
3×	`associate-l_binary64_17207` `prod-exp_binary64_17310` `cbrt-unprod_binary64_17294` `add-log-exp_binary64_17300` `associate-r_binary64_17206`
2×	`clear-num_binary64_17263` `frac-2neg_binary64_17275`
1×	`pow-prod-down_binary64_17332` `*-commutative_binary64_17197` `associate-/l/_binary64_17213` `unswap-sqr_binary64_17232`

Counts

3 → 87

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
5.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
5.0ms	(*.f64 x (sin.f64 y))

series273.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z)
87.0ms	(/.f64 (*.f64 x (sin.f64 y)) y)
53.0ms	(*.f64 x (sin.f64 y))

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4985	1386
1	4985	1386

prune56.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	96	5	101

Merged error: 0b

Counts

101 → 5

Compiler

Compiled 1281 to 310 computations (75.8% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

2.3b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
6.1b	(/.f64 (sin.f64 y) (*.f64 y z))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_17297` `add-exp-log_binary64_17299`
9×	`add-sqr-sqrt_binary64_17285`
7×	`-un-lft-identity_binary64_17264` `associate-r*_binary64_17206` `add-cube-cbrt_binary64_17296`
6×	`times-frac_binary64_17270`
5×	`prod-exp_binary64_17310` `cbrt-unprod_binary64_17294`
4×	`cbrt-undiv_binary64_17295` `div-exp_binary64_17312` `pow1_binary64_17322`
3×	`associate-/l_binary64_17211` `associate-l*_binary64_17207`
2×	`add-log-exp_binary64_17300` `div-inv_binary64_17261`
1×	`pow-prod-down_binary64_17332` `clear-num_binary64_17263` `-commutative_binary64_17197` `frac-2neg_binary64_17275` `unswap-sqr_binary64_17232` `associate-r/_binary64_17208` `associate-/r*_binary64_17210`

Counts

2 → 48

Calls

2 calls:

8.0ms	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
5.0ms	(/.f64 (sin.f64 y) (*.f64 y z))

series190.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
59.0ms	(/.f64 (sin.f64 y) (*.f64 y z))

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5056	712

prune30.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	54	5	59

Merged error: 0b

Counts

59 → 5

Compiler

Compiled 663 to 151 computations (77.2% saved)

regimes104.0ms (2.9%)

Compiler: Compiled 202 to 176 computations (12.9% saved)

bsearch1.0ms (0%)

Compiler: Compiled 4 to 5 computations (-25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	47
1	21	47

end0.0ms (0%)

sample1.2s (33.9%)

Algorithm

1×

intervals

Results

340.0ms	1407×	body	1024	valid
295.0ms	5370×	body	128	valid
128.0ms	791×	body	512	valid
46.0ms	432×	body	256	valid
27.0ms	510×	body	128	invalid
9.0ms	25×	body	1024	invalid
8.0ms	50×	body	512	invalid
5.0ms	42×	body	256	invalid

Compiler

Compiled 122 to 84 computations (31.1% saved)

Details

analyze413.0ms (11.5%)

sample35.0ms (1%)

simplify163.0ms (4.5%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite26.0ms (0.7%)

series261.0ms (7.3%)

simplify81.0ms (2.3%)

prune69.0ms (1.9%)

localize7.0ms (0.2%)

rewrite49.0ms (1.4%)

series231.0ms (6.4%)

simplify79.0ms (2.2%)

prune118.0ms (3.3%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series273.0ms (7.6%)

simplify37.0ms (1%)

prune56.0ms (1.6%)

localize9.0ms (0.3%)

rewrite17.0ms (0.5%)

series190.0ms (5.3%)

simplify72.0ms (2%)

prune30.0ms (0.8%)

regimes104.0ms (2.9%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (33.9%)

Profiling