Details

analyze354.0ms (8%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample93.0ms (2.1%)

Algorithm

1×

intervals

Results

23.0ms	55×	body	1280	valid
17.0ms	50×	body	1280	invalid
11.0ms	44×	body	640	invalid
10.0ms	38×	body	640	valid
8.0ms	129×	body	80	valid
4.0ms	24×	body	320	valid
2.0ms	10×	body	320	invalid
1.0ms	10×	body	160	valid
1.0ms	16×	body	80	invalid
1.0ms	8×	body	160	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify138.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4990	11
1	4990	11

prune7.0ms (0.2%)

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: 0.2b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64` `cosh-def_binary64`
2×	`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` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(cosh.f64 x)

series28.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
6.0ms	(cosh.f64 x)
4.0ms	(/.f64 (sin.f64 y) y)

simplify101.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4947	1015
1	4947	1015

prune64.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	68	10	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	10	79

Merged error: 0b

Counts

79 → 10

Compiler

Compiled 1118 to 326 computations (70.8% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.1b	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
4×	`cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cosh-undef_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

11.0ms	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))
8.0ms	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series33.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(/.f64 (.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 y 2))
12.0ms	(*.f64 (sin.f64 y) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4963	1049
1	4963	1049

prune48.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	69	10	79

Merged error: 0b

Counts

79 → 10

Compiler

Compiled 1232 to 445 computations (63.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(/.f64 y (cosh.f64 x))
0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64` `cosh-def_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 110

Calls

3 calls:

6.0ms	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
3.0ms	(/.f64 y (cosh.f64 x))
1.0ms	(cosh.f64 x)

series47.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 y (cosh.f64 x))
19.0ms	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))
6.0ms	(cosh.f64 x)

simplify111.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4934	2253
1	4934	2253

prune59.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Merged error: 0b

Counts

129 → 9

Compiler

Compiled 1863 to 431 computations (76.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
104×	`add-sqr-sqrt_binary64`
92×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64` `cosh-def_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` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 186

Calls

4 calls:

15.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))
1.0ms	(cosh.f64 x)

series34.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 y (sin.f64 y))
6.0ms	(cosh.f64 x)
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4950	2933
1	4950	2933

prune87.0ms (2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	198	0	198
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	198	9	207

Merged error: 0b

Counts

207 → 9

Compiler

Compiled 2977 to 915 computations (69.3% saved)

regimes174.0ms (3.9%)

Compiler: Compiled 644 to 427 computations (33.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end0.0ms (0%)

sample2.7s (61.7%)

Algorithm

1×

intervals

Results

540.0ms	1526×	body	1280	valid
438.0ms	1468×	body	1280	invalid
256.0ms	1220×	body	640	valid
246.0ms	1248×	body	640	invalid
207.0ms	4278×	body	80	valid
91.0ms	642×	body	320	invalid
87.0ms	630×	body	320	valid
33.0ms	346×	body	160	valid
32.0ms	327×	body	160	invalid
29.0ms	520×	body	80	invalid

Compiler

Compiled 147 to 103 computations (29.9% saved)

Details

analyze354.0ms (8%)

sample93.0ms (2.1%)

simplify138.0ms (3.1%)

prune7.0ms (0.2%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series28.0ms (0.6%)

simplify101.0ms (2.3%)

prune64.0ms (1.5%)

localize11.0ms (0.2%)

rewrite27.0ms (0.6%)

series33.0ms (0.8%)

simplify97.0ms (2.2%)

prune48.0ms (1.1%)

localize6.0ms (0.1%)

rewrite15.0ms (0.4%)

series47.0ms (1.1%)

simplify111.0ms (2.5%)

prune59.0ms (1.3%)

localize7.0ms (0.2%)

rewrite38.0ms (0.9%)

series34.0ms (0.8%)

simplify84.0ms (1.9%)

prune87.0ms (2%)

regimes174.0ms (3.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.7s (61.7%)

Profiling