Details

analyze85.0ms (3.1%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample37.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	45×	body	1024	valid
8.0ms	170×	body	128	valid
4.0ms	28×	body	512	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify163.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_4479`
19×	`times-frac_binary64_4464`
18×	`add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
13×	`associate-r_binary64_4400`
9×	`add-cbrt-cube_binary64_4491` `add-exp-log_binary64_4493`
4×	`pow1_binary64_4516`
3×	`associate-l_binary64_4401` `associate-/r_binary64_4404` `associate-/l_binary64_4405`
2×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504` `cbrt-undiv_binary64_4489` `add-log-exp_binary64_4494` `div-exp_binary64_4506` `unswap-sqr_binary64_4426` `div-inv_binary64_4455`
1×	`-commutative_binary64_4391` `frac-2neg_binary64_4469` `clear-num_binary64_4457` `pow-prod-down_binary64_4526` `associate-r/_binary64_4402`

Counts

2 → 59

Calls

2 calls:

9.0ms	(/.f64 (sin.f64 y) y)
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

series128.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
38.0ms	(/.f64 (sin.f64 y) y)

simplify94.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4684	782
1	4684	782

prune61.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0b

Counts

66 → 9

Compiler

Compiled 835 to 240 computations (71.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite45.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_4464`
103×	`add-sqr-sqrt_binary64_4479`
91×	`*-un-lft-identity_binary64_4458`
89×	`add-cube-cbrt_binary64_4490`
44×	`associate-r_binary64_4400`
35×	`add-exp-log_binary64_4493`
19×	`add-cbrt-cube_binary64_4491`
16×	`associate-/r*_binary64_4404`
15×	`div-exp_binary64_4506`
10×	`div-inv_binary64_4455`
7×	`prod-exp_binary64_4504` `cbrt-undiv_binary64_4489`
6×	`pow1_binary64_4516` `associate-/l*_binary64_4405`
5×	`unswap-sqr_binary64_4426`
4×	`1-exp_binary64_4499` `rec-exp_binary64_4505`
3×	`cbrt-unprod_binary64_4488` `add-log-exp_binary64_4494` `associate-l_binary64_4401`
2×	`frac-2neg_binary64_4469` `clear-num_binary64_4457` `associate-/r/_binary64_4406`
1×	`un-div-inv_binary64_4456` `inv-pow_binary64_4540` `-commutative_binary64_4391` `pow-flip_binary64_4529` `pow-prod-down_binary64_4526` `associate-r/_binary64_4402`

Counts

3 → 176

Calls

3 calls:

18.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series188.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
57.0ms	(/.f64 y (sin.f64 y))
42.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify106.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5021	2654

prune127.0ms (4.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	187	7	194

Merged error: 0b

Counts

194 → 7

Compiler

Compiled 2688 to 886 computations (67% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_4464`
52×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458`
16×	`associate-/r*_binary64_4404`
9×	`add-cbrt-cube_binary64_4491` `add-exp-log_binary64_4493`
6×	`div-inv_binary64_4455` `associate-/l*_binary64_4405`
4×	`cbrt-undiv_binary64_4489` `div-exp_binary64_4506`
2×	`pow1_binary64_4516` `frac-2neg_binary64_4469` `add-log-exp_binary64_4494` `clear-num_binary64_4457`
1×	`associate-/r/_binary64_4406`

Counts

2 → 97

Calls

2 calls:

7.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series139.0ms (5%)

Counts

2 → 6

Calls

2 calls:

86.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
53.0ms	(/.f64 y (sin.f64 y))

simplify127.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4706	1780
1	4706	1780

prune64.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Merged error: 0b

Counts

110 → 7

Compiler

Compiled 1454 to 322 computations (77.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite25.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_4493`
18×	`add-sqr-sqrt_binary64_4479`
16×	`add-cbrt-cube_binary64_4491`
14×	`associate-r_binary64_4400`
13×	`prod-exp_binary64_4504`
12×	`*-un-lft-identity_binary64_4458`
11×	`add-cube-cbrt_binary64_4490` `times-frac_binary64_4464`
9×	`pow1_binary64_4516`
7×	`cbrt-unprod_binary64_4488`
6×	`associate-l_binary64_4401`
4×	`div-exp_binary64_4506` `pow-prod-down_binary64_4526` `associate-*r/_binary64_4402`
3×	`unswap-sqr_binary64_4426`
2×	`un-div-inv_binary64_4456` `cbrt-undiv_binary64_4489` `*-commutative_binary64_4391` `add-log-exp_binary64_4494` `1-exp_binary64_4499` `rec-exp_binary64_4505`
1×	`div-inv_binary64_4455`

Counts

2 → 60

Calls

2 calls:

11.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
9.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series125.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

89.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
36.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	663
1	4984	663

prune38.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	66	7	73

Merged error: 0b

Counts

73 → 7

Compiler

Compiled 689 to 242 computations (64.9% saved)

regimes52.0ms (1.9%)

Compiler: Compiled 287 to 174 computations (39.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	6	9

end0.0ms (0%)

sample1.0s (36.7%)

Algorithm

1×

intervals

Results

296.0ms	1275×	body	1024	valid
261.0ms	5389×	body	128	valid
127.0ms	859×	body	512	valid
46.0ms	475×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 90 to 58 computations (35.6% saved)

Details

analyze85.0ms (3.1%)

sample37.0ms (1.3%)

simplify163.0ms (5.9%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite21.0ms (0.8%)

series128.0ms (4.6%)

simplify94.0ms (3.4%)

prune61.0ms (2.2%)

localize7.0ms (0.3%)

rewrite45.0ms (1.6%)

series188.0ms (6.8%)

simplify106.0ms (3.8%)

prune127.0ms (4.6%)

localize6.0ms (0.2%)

rewrite22.0ms (0.8%)

series139.0ms (5%)

simplify127.0ms (4.6%)

prune64.0ms (2.3%)

localize7.0ms (0.3%)

rewrite25.0ms (0.9%)

series125.0ms (4.5%)

simplify81.0ms (2.9%)

prune38.0ms (1.4%)

regimes52.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (36.7%)

Profiling