Details

analyze472.0ms (11.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4948	22
1	4948	22
0	2	2
1	2	2

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample48.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	67×	body	1024	invalid
9.0ms	209×	body	128	valid
4.0ms	32×	body	512	invalid
3.0ms	23×	body	512	valid
3.0ms	15×	body	1024	valid
2.0ms	32×	body	128	invalid
2.0ms	18×	body	256	invalid
1.0ms	9×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	11

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

Error

14.6b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
9×	`add-sqr-sqrt_binary64_14081`
7×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
5×	`pow1_binary64_14120`
3×	`add-log-exp_binary64_14098` `associate-r_binary64_13999` `times-frac_binary64_14065` `associate-/r_binary64_14003` `sinh-def_binary64_14244` `associate-l*_binary64_14000`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `cbrt-undiv_binary64_14093` `associate-*r/_binary64_14001`
1×	`frac-2neg_binary64_14070` `associate-/l/_binary64_14006` `-commutative_binary64_13990` `div-inv_binary64_14056` `clear-num_binary64_14058` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `associate-/l_binary64_14004`

Counts

3 → 49

Calls

3 calls:

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

series214.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
84.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
35.0ms	(sinh.f64 y)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5717	673

prune50.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Compiler

Compiled 703 to 232 computations (67% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_14081`
19×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `times-frac_binary64_14065`
13×	`associate-r_binary64_13999`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
5×	`pow1_binary64_14120`
3×	`add-log-exp_binary64_14098` `associate-/r_binary64_14003` `associate-l_binary64_14000` `associate-/l_binary64_14004`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `sinh-def_binary64_14244`
1×	`frac-2neg_binary64_14070` `associate-/l/_binary64_14006` `-commutative_binary64_13990` `clear-num_binary64_14058` `associate-r/_binary64_14001` `pow-prod-down_binary64_14130`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
3.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

series207.0ms (5%)

Counts

3 → 9

Calls

3 calls:

100.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
65.0ms	(/.f64 (sinh.f64 y) x)
42.0ms	(sinh.f64 y)

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6276	1011

prune51.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Error

Counts

83 → 7

Compiler

Compiled 1044 to 298 computations (71.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.9b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_14065`
54×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `add-sqr-sqrt_binary64_14081`
17×	`associate-/r*_binary64_14003`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
6×	`div-inv_binary64_14056` `sinh-def_binary64_14244` `associate-/r/_binary64_14005` `associate-/l*_binary64_14004`
4×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093`
3×	`add-log-exp_binary64_14098` `pow1_binary64_14120`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058`

Counts

3 → 110

Calls

3 calls:

7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
3.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)

series251.0ms (6%)

Counts

3 → 9

Calls

3 calls:

111.0ms	(/.f64 x (sinh.f64 y))
103.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
37.0ms	(sinh.f64 y)

simplify98.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4914	2253
1	4914	2253

prune78.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 1806 to 401 computations (77.8% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_14081`
19×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `times-frac_binary64_14065`
13×	`associate-l_binary64_14000`
10×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
5×	`pow1_binary64_14120`
3×	`add-log-exp_binary64_14098` `associate-r_binary64_13999` `associate-/r_binary64_14003` `sinh-def_binary64_14244` `associate-/l_binary64_14004`
2×	`prod-exp_binary64_14108` `div-exp_binary64_14110` `cbrt-unprod_binary64_14092` `div-inv_binary64_14056` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027`
1×	`frac-2neg_binary64_14070` `frac-times_binary64_14069` `associate-l/_binary64_14002` `-commutative_binary64_13990` `clear-num_binary64_14058` `associate-*r/_binary64_14001` `pow-prod-down_binary64_14130`

Counts

3 → 69

Calls

3 calls:

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

series158.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

102.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
35.0ms	(sinh.f64 y)
20.0ms	(/.f64 (sin.f64 x) x)

simplify80.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4934	1001
1	4934	1001

prune45.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Error

Counts

84 → 6

Compiler

Compiled 990 to 245 computations (75.3% saved)

regimes149.0ms (3.6%)

Accuracy

Total 0.1b remaining (89.9%)

Threshold costs 0.1b (89.9%)

Compiler

Compiled 1153 to 798 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.0s (47.5%)

Algorithm

1×

intervals

Results

478.0ms	6234×	body	128	valid
371.0ms	1961×	body	1024	invalid
145.0ms	635×	body	1024	valid
136.0ms	972×	body	512	invalid
96.0ms	692×	body	512	valid
47.0ms	471×	body	256	invalid
44.0ms	439×	body	256	valid
42.0ms	787×	body	128	invalid

Compiler

Compiled 284 to 201 computations (29.2% saved)

Details

analyze472.0ms (11.4%)

sample48.0ms (1.1%)

simplify60.0ms (1.4%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite14.0ms (0.3%)

series214.0ms (5.2%)

simplify54.0ms (1.3%)

prune50.0ms (1.2%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series207.0ms (5%)

simplify66.0ms (1.6%)

prune51.0ms (1.2%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series251.0ms (6%)

simplify98.0ms (2.4%)

prune78.0ms (1.9%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series158.0ms (3.8%)

simplify80.0ms (1.9%)

prune45.0ms (1.1%)

regimes149.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (47.5%)

Profiling