Details

analyze346.0ms (7%)

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)

sample61.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	55×	body	1024	valid
13.0ms	56×	body	1024	invalid
7.0ms	138×	body	128	valid
6.0ms	42×	body	512	valid
4.0ms	26×	body	512	invalid
2.0ms	20×	body	256	valid
2.0ms	16×	body	256	invalid
1.0ms	16×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4853	11
1	4853	11

prune2.0ms (0%)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.3%)

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` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

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

series203.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

164.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
39.0ms	(/.f64 (sin.f64 y) y)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	897
1	4971	897

prune172.0ms (3.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	57	10	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	10	68

Merged error: 0.3b

Counts

68 → 10

Compiler

Compiled 2615 to 1311 computations (49.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
0.3b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `cosh-def_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 41

Calls

2 calls:

6.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
5.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

series278.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

153.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
124.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5003	612

prune69.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	47	10	57

Merged error: 0.3b

Counts

57 → 10

Compiler

Compiled 1081 to 523 computations (51.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.4%)

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-/l/_binary64` `associate-/r/_binary64` `cosh-def_binary64`

Counts

2 → 98

Calls

2 calls:

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

series207.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

152.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
55.0ms	(/.f64 y (sin.f64 y))

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5269	2037

prune149.0ms (3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	104	10	114

Merged error: 0.3b

Counts

114 → 10

Compiler

Compiled 2670 to 1020 computations (61.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
0.3b	(/.f64 (cosh.f64 x) y)

rewrite63.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

439×	`times-frac_binary64`
215×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
31×	`div-inv_binary64`
25×	`add-exp-log_binary64`
19×	`associate-/r_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
13×	`div-exp_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `cosh-def_binary64`

Counts

3 → 275

Calls

3 calls:

13.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
4.0ms	(/.f64 (cosh.f64 x) y)
4.0ms	(/.f64 1 (sin.f64 y))

series285.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

141.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
110.0ms	(/.f64 (cosh.f64 x) y)
34.0ms	(/.f64 1 (sin.f64 y))

simplify157.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4891	7292
1	4891	7292

prune254.0ms (5.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	281	3	284
Fresh	4	3	7
Picked	1	0	1
Done	0	2	2
Total	286	8	294

Merged error: 0.2b

Counts

294 → 8

Compiler

Compiled 5712 to 1744 computations (69.5% saved)

regimes52.0ms (1.1%)

Compiler: Compiled 398 to 284 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.2s (45.3%)

Algorithm

1×

intervals

Results

541.0ms	2008×	body	1024	valid
476.0ms	1899×	body	1024	invalid
247.0ms	4471×	body	128	valid
172.0ms	1030×	body	512	valid
161.0ms	990×	body	512	invalid
57.0ms	536×	body	256	invalid
56.0ms	736×	body	128	invalid
51.0ms	484×	body	256	valid
5.0ms	7×	body	2048	valid

Compiler

Compiled 152 to 111 computations (27% saved)

Details

analyze346.0ms (7%)

sample61.0ms (1.2%)

simplify108.0ms (2.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series203.0ms (4.1%)

simplify72.0ms (1.5%)

prune172.0ms (3.5%)

localize7.0ms (0.1%)

rewrite15.0ms (0.3%)

series278.0ms (5.6%)

simplify60.0ms (1.2%)

prune69.0ms (1.4%)

localize6.0ms (0.1%)

rewrite20.0ms (0.4%)

series207.0ms (4.2%)

simplify88.0ms (1.8%)

prune149.0ms (3%)

localize8.0ms (0.2%)

rewrite63.0ms (1.3%)

series285.0ms (5.8%)

simplify157.0ms (3.2%)

prune254.0ms (5.1%)

regimes52.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (45.3%)

Profiling