Details

analyze92.0ms (3.5%)

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
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)

sample36.0ms (1.4%)

Algorithm

1×

intervals

Results

14.0ms	174×	body	128	valid
9.0ms	43×	body	1024	valid
3.0ms	24×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.3%)

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)

localize5.0ms (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)

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

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

series128.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
40.0ms	(/.f64 (sin.f64 y) y)

simplify102.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4684	782
1	4684	782

prune55.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

Compiler

Compiled 804 to 219 computations (72.8% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `times-frac_binary64`
9×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
4×	`pow-prod-down_binary64` `associate-*r/_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `un-div-inv_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

2 → 60

Calls

2 calls:

9.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
8.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

series126.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

87.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
39.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify88.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4984	663
1	4984	663

prune40.0ms (1.5%)

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 750 to 278 computations (62.9% 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 y (sin.f64 y))
0.3b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite47.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 176

Calls

3 calls:

20.0ms	(*.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))

series201.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
63.0ms	(/.f64 y (sin.f64 y))
37.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify110.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5021	2654

prune127.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	186	6	192

Merged error: 0b

Counts

192 → 6

Compiler

Compiled 2661 to 867 computations (67.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.3b	(/.f64 x (/.f64 y (sin.f64 y)))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64`

Counts

2 → 97

Calls

2 calls:

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

series153.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
59.0ms	(/.f64 y (sin.f64 y))

simplify123.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4706	1780
1	4706	1780

prune61.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Merged error: 0b

Counts

109 → 6

Compiler

Compiled 1383 to 282 computations (79.6% saved)

regimes53.0ms (2%)

Compiler: Compiled 280 to 178 computations (36.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample996.0ms (37.9%)

Algorithm

1×

intervals

Results

287.0ms	1299×	body	1024	valid
266.0ms	5359×	body	128	valid
121.0ms	860×	body	512	valid
47.0ms	481×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 77 to 51 computations (33.8% saved)

Details

analyze92.0ms (3.5%)

sample36.0ms (1.4%)

simplify9.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.6%)

series128.0ms (4.9%)

simplify102.0ms (3.9%)

prune55.0ms (2.1%)

localize7.0ms (0.3%)

rewrite21.0ms (0.8%)

series126.0ms (4.8%)

simplify88.0ms (3.3%)

prune40.0ms (1.5%)

localize7.0ms (0.3%)

rewrite47.0ms (1.8%)

series201.0ms (7.6%)

simplify110.0ms (4.2%)

prune127.0ms (4.8%)

localize6.0ms (0.2%)

rewrite19.0ms (0.7%)

series153.0ms (5.8%)

simplify123.0ms (4.7%)

prune61.0ms (2.3%)

regimes53.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample996.0ms (37.9%)

Profiling