Details

analyze322.0ms (25.3%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample81.0ms (6.4%)

Algorithm

1×

intervals

Results

24.0ms	63×	body	1280	valid
12.0ms	42×	body	1280	invalid
8.0ms	43×	body	640	invalid
8.0ms	39×	body	640	valid
6.0ms	123×	body	80	valid
4.0ms	78×	body	80	invalid
3.0ms	21×	body	320	invalid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	9×	body	160	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify69.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4911	11
1	4911	11

prune4.0ms (0.3%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite15.0ms (1.2%)

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`
2×	`sinh-def_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-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

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

series44.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)

simplify102.0ms (8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4928	1002
1	4928	1002

prune43.0ms (3.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

Compiler

Compiled 1024 to 285 computations (72.2% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
0.0b	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

rewrite35.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64`
66×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
51×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
41×	`unpow-prod-down_binary64` `cube-prod_binary64`
35×	`associate-r_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
6×	`div-inv_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cube-div_binary64` `unpow3_binary64` `cube-mult_binary64`
2×	`cbrt-div_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `pow1/3_binary64` `pow-pow_binary64` `prod-exp_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

13.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
6.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
5.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
2.0ms	(sinh.f64 y)

series62.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
20.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
7.0ms	(sinh.f64 y)

simplify66.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5067	2395

prune84.0ms (6.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	165	4	169

Merged error: 0b

Counts

169 → 4

Compiler

Compiled 2528 to 900 computations (64.4% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite13.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_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

3 → 49

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series44.0ms (3.5%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
16.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
7.0ms	(sinh.f64 y)

simplify68.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6018	673

prune29.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

Compiler

Compiled 675 to 213 computations (68.4% saved)

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
0.1b	(/.f64 (sqrt.f64 (sinh.f64 y)) y)
2.4b	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))

rewrite28.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
28×	`associate-r_binary64`
25×	`sqrt-prod_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64`
5×	`sinh-def_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-l*_binary64` `sqrt-div_binary64`
3×	`associate-/r*_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 115

Calls

4 calls:

12.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
6.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
5.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) y)
1.0ms	(sinh.f64 y)

series68.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y)))
21.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
17.0ms	(/.f64 (sqrt.f64 (sinh.f64 y)) y)
7.0ms	(sinh.f64 y)

simplify60.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4963	2029
1	4963	2029

Details

analyze322.0ms (25.3%)

sample81.0ms (6.4%)

simplify69.0ms (5.4%)

prune4.0ms (0.3%)

localize6.0ms (0.5%)

rewrite15.0ms (1.2%)

series44.0ms (3.4%)

simplify102.0ms (8%)

prune43.0ms (3.4%)

localize9.0ms (0.7%)

rewrite35.0ms (2.7%)

series62.0ms (4.9%)

simplify66.0ms (5.2%)

prune84.0ms (6.6%)

localize8.0ms (0.7%)

rewrite13.0ms (1%)

series44.0ms (3.5%)

simplify68.0ms (5.4%)

prune29.0ms (2.3%)

localize9.0ms (0.7%)

rewrite28.0ms (2.2%)

series68.0ms (5.3%)

simplify60.0ms (4.7%)

prune4.0ms (0.3%)

Profiling