Details

analyze761.0ms (11%)

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)

sample64.0ms (0.9%)

Algorithm

1×

intervals

Results

22.0ms	183×	body	128	valid
17.0ms	41×	body	1024	valid
6.0ms	21×	body	512	valid
2.0ms	11×	body	256	valid
1.0ms	14×	body	128	invalid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify164.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune4.0ms (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: 1.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
1.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite50.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_11012`
22×	`times-frac_binary64_10996`
21×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`associate-r_binary64_10930`
6×	`div-exp_binary64_11041` `associate-/r*_binary64_10934` `cbrt-undiv_binary64_11024`
5×	`pow1_binary64_11051`
4×	`prod-exp_binary64_11039` `associate-/l*_binary64_10935` `cbrt-unprod_binary64_11023`
3×	`add-log-exp_binary64_11029` `div-inv_binary64_10987` `associate-l_binary64_10931`
2×	`associate-*r/_binary64_10932` `clear-num_binary64_10989` `unswap-sqr_binary64_10958` `frac-2neg_binary64_11001`
1×	`associate-/l/_binary64_10937` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

3 → 83

Calls

3 calls:

13.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
12.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
7.0ms	(/.f64 (sin.f64 y) y)

series243.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

123.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
85.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
35.0ms	(/.f64 (sin.f64 y) y)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5174	1158

prune128.0ms (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 1233 to 343 computations (72.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
1.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite104.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

480×	`times-frac_binary64_10996`
238×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
60×	`associate-/r*_binary64_10934`
23×	`div-inv_binary64_10987`
19×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
10×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
9×	`associate-/l*_binary64_10935`
6×	`associate-/r/_binary64_10936`
3×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `clear-num_binary64_10989` `frac-2neg_binary64_11001`

Counts

3 → 293

Calls

3 calls:

23.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
10.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

series313.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

143.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
131.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
39.0ms	(/.f64 (sin.f64 y) y)

simplify269.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4959	7392
1	4959	7392

prune373.0ms (5.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	303	5	308

Merged error: 0b

Counts

308 → 5

Compiler

Compiled 5639 to 907 computations (83.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.7b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
1.5b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite73.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_10996`
54×	`add-exp-log_binary64_11028`
44×	`add-sqr-sqrt_binary64_11012`
39×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
34×	`add-cbrt-cube_binary64_11026`
26×	`div-exp_binary64_11041`
14×	`cbrt-undiv_binary64_11024`
13×	`associate-r_binary64_10930`
12×	`associate-/r*_binary64_10934`
10×	`prod-exp_binary64_11039`
9×	`associate-/l*_binary64_10935`
8×	`div-inv_binary64_10987`
7×	`pow1_binary64_11051`
6×	`associate-*r/_binary64_10932` `cbrt-unprod_binary64_11023` `associate-/r/_binary64_10936`
4×	`add-log-exp_binary64_11029` `1-exp_binary64_11034` `rec-exp_binary64_11040`
3×	`clear-num_binary64_10989` `frac-2neg_binary64_11001` `associate-l_binary64_10931`
2×	`unswap-sqr_binary64_10958`
1×	`pow-flip_binary64_11064` `*-commutative_binary64_10921` `inv-pow_binary64_11075` `pow-prod-down_binary64_11061`

Counts

4 → 147

Calls

4 calls:

17.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
15.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
12.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
8.0ms	(/.f64 (sin.f64 y) y)

series450.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
132.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
93.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
35.0ms	(/.f64 (sin.f64 y) y)

simplify172.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5051	2320

prune189.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Merged error: 0b

Counts

164 → 5

Compiler

Compiled 2309 to 704 computations (69.5% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
3.9b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_11012`
31×	`times-frac_binary64_10996`
24×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
16×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
13×	`associate-r_binary64_10930` `associate-l_binary64_10931`
5×	`div-exp_binary64_11041` `cbrt-undiv_binary64_11024`
4×	`prod-exp_binary64_11039` `pow1_binary64_11051` `unswap-sqr_binary64_10958` `cbrt-unprod_binary64_11023`
3×	`associate-/l_binary64_10935` `associate-/r_binary64_10934` `div-inv_binary64_10987`
2×	`add-log-exp_binary64_11029`
1×	`frac-times_binary64_11000` `associate-r/_binary64_10932` `clear-num_binary64_10989` `frac-2neg_binary64_11001` `-commutative_binary64_10921` `associate-*l/_binary64_10933` `pow-prod-down_binary64_11061`

Counts

2 → 77

Calls

2 calls:

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

series174.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

139.0ms	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
36.0ms	(/.f64 (sin.f64 y) y)

simplify126.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5075	1190

prune90.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	83	5	88

Merged error: 0b

Counts

88 → 5

Compiler

Compiled 1147 to 240 computations (79.1% saved)

regimes397.0ms (5.7%)

Compiler: Compiled 1373 to 1040 computations (24.3% saved)

bsearch45.0ms (0.6%)

Steps

Iters	Range		Point
8	4.0591536805624094e-14	9.116081464293255e-10	1.601032305033865e-10

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	30
1	15	30

end0.0ms (0%)

sample2.5s (36.2%)

Algorithm

1×

intervals

Results

557.0ms	1390×	body	1024	valid
535.0ms	5381×	body	128	valid
240.0ms	809×	body	512	valid
81.0ms	416×	body	256	valid
52.0ms	517×	body	128	invalid
14.0ms	51×	body	512	invalid
12.0ms	29×	body	1024	invalid
6.0ms	34×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 273 to 200 computations (26.7% saved)

Details

analyze761.0ms (11%)

sample64.0ms (0.9%)

simplify164.0ms (2.4%)

prune4.0ms (0.1%)

localize14.0ms (0.2%)

rewrite50.0ms (0.7%)

series243.0ms (3.5%)

simplify121.0ms (1.8%)

prune128.0ms (1.9%)

localize13.0ms (0.2%)

rewrite104.0ms (1.5%)

series313.0ms (4.5%)

simplify269.0ms (3.9%)

prune373.0ms (5.4%)

localize17.0ms (0.2%)

rewrite73.0ms (1.1%)

series450.0ms (6.5%)

simplify172.0ms (2.5%)

prune189.0ms (2.7%)

localize13.0ms (0.2%)

rewrite40.0ms (0.6%)

series174.0ms (2.5%)

simplify126.0ms (1.8%)

prune90.0ms (1.3%)

regimes397.0ms (5.7%)

bsearch45.0ms (0.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (36.2%)

Profiling