Details

analyze463.0ms (7.1%)

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
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)

sample84.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	204×	body	128	valid
20.0ms	59×	body	1024	invalid
8.0ms	32×	body	512	invalid
7.0ms	18×	body	1024	valid
6.0ms	25×	body	512	valid
3.0ms	27×	body	128	invalid
2.0ms	14×	body	256	invalid
1.0ms	9×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify202.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	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

Error

12.3b

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	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
12.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
9×	`add-sqr-sqrt_binary64_9307`
7×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
5×	`pow1_binary64_9346`
3×	`sinh-def_binary64_9470` `associate-l_binary64_9226` `associate-r_binary64_9225` `times-frac_binary64_9291` `add-log-exp_binary64_9324` `associate-/r*_binary64_9229`
2×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `div-exp_binary64_9336` `cbrt-undiv_binary64_9319` `associate-*r/_binary64_9227`
1×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `frac-2neg_binary64_9296` `-commutative_binary64_9216` `associate-/l_binary64_9230` `div-inv_binary64_9282`

Counts

3 → 49

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series318.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

138.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
117.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
62.0ms	(sinh.f64 y)

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5717	673

prune58.0ms (0.9%)

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 699 to 231 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)
0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_9307`
19×	`*-un-lft-identity_binary64_9285` `times-frac_binary64_9291` `add-cube-cbrt_binary64_9320`
13×	`associate-r_binary64_9225`
10×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
5×	`pow1_binary64_9346`
3×	`associate-l_binary64_9226` `add-log-exp_binary64_9324` `associate-/l_binary64_9230` `associate-/r_binary64_9229`
2×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `div-exp_binary64_9336` `sinh-def_binary64_9470` `unswap-sqr_binary64_9253` `cbrt-undiv_binary64_9319` `div-inv_binary64_9282`
1×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `pow-prod-down_binary64_9356` `frac-2neg_binary64_9296` `associate-r/_binary64_9227` `-commutative_binary64_9216`

Counts

3 → 68

Calls

3 calls:

10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
3.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

series294.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

147.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
94.0ms	(/.f64 (sinh.f64 y) x)
53.0ms	(sinh.f64 y)

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	6276	1011

prune80.0ms (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)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
0.6b	(cbrt.f64 (sinh.f64 y))
0.6b	(cbrt.f64 (sinh.f64 y))
0.6b	(cbrt.f64 (sinh.f64 y))

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_9316`
23×	`add-sqr-sqrt_binary64_9307`
15×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
11×	`pow1_binary64_9346`
9×	`pow1/3_binary64_9367`
7×	`cbrt-div_binary64_9317` `sinh-def_binary64_9470`
6×	`swap-sqr_binary64_9252` `associate-l_binary64_9226` `associate-r_binary64_9225` `add-exp-log_binary64_9323`
4×	`unswap-sqr_binary64_9253` `add-cbrt-cube_binary64_9321` `add-log-exp_binary64_9324`
2×	`pow-prod-down_binary64_9356` `pow-prod-up_binary64_9355` `pow-sqr_binary64_9258`
1×	`cbrt-unprod_binary64_9318` `associate-l/_binary64_9228` `frac-times_binary64_9295` `prod-exp_binary64_9334` `pow-plus_binary64_9348` `associate-r/_binary64_9227` `*-commutative_binary64_9216` `pow2_binary64_9366`

Counts

4 → 79

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 (sinh.f64 y))
1.0ms	(cbrt.f64 (sinh.f64 y))

series957.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

340.0ms	(*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sinh.f64 y)))
232.0ms	(cbrt.f64 (sinh.f64 y))
202.0ms	(cbrt.f64 (sinh.f64 y))
182.0ms	(cbrt.f64 (sinh.f64 y))

simplify119.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5039	978

prune133.0ms (2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Error

Counts

98 → 7

Compiler

Compiled 1834 to 473 computations (74.2% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
1.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_9291`
54×	`add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
17×	`associate-/r*_binary64_9229`
10×	`add-cbrt-cube_binary64_9321` `add-exp-log_binary64_9323`
6×	`sinh-def_binary64_9470` `associate-/l*_binary64_9230` `associate-/r/_binary64_9231` `div-inv_binary64_9282`
4×	`div-exp_binary64_9336` `cbrt-undiv_binary64_9319`
3×	`pow1_binary64_9346` `add-log-exp_binary64_9324`
2×	`clear-num_binary64_9284` `frac-2neg_binary64_9296`

Counts

3 → 110

Calls

3 calls:

13.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
6.0ms	(/.f64 x (sinh.f64 y))
2.0ms	(sinh.f64 y)

series401.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

169.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
169.0ms	(/.f64 x (sinh.f64 y))
62.0ms	(sinh.f64 y)

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4914	2253
1	4914	2253

prune108.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	1	3
Picked	1	0	1
Done	0	3	3
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 1764 to 370 computations (79% saved)

regimes215.0ms (3.3%)

Accuracy

Total 0.1b remaining (89.3%)

Threshold costs 0.1b (89.3%)

Compiler

Compiled 1072 to 758 computations (29.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.6s (40%)

Algorithm

1×

intervals

Results

562.0ms	1997×	body	1024	invalid
435.0ms	6287×	body	128	valid
218.0ms	626×	body	1024	valid
204.0ms	1007×	body	512	invalid
146.0ms	678×	body	512	valid
79.0ms	551×	body	256	invalid
67.0ms	777×	body	128	invalid
57.0ms	409×	body	256	valid

Compiler

Compiled 266 to 193 computations (27.4% saved)

Details

analyze463.0ms (7.1%)

sample84.0ms (1.3%)

simplify202.0ms (3.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite15.0ms (0.2%)

series318.0ms (4.9%)

simplify83.0ms (1.3%)

prune58.0ms (0.9%)

localize6.0ms (0.1%)

rewrite22.0ms (0.3%)

series294.0ms (4.5%)

simplify127.0ms (1.9%)

prune80.0ms (1.2%)

localize10.0ms (0.1%)

rewrite27.0ms (0.4%)

series957.0ms (14.7%)

simplify119.0ms (1.8%)

prune133.0ms (2%)

localize12.0ms (0.2%)

rewrite41.0ms (0.6%)

series401.0ms (6.2%)

simplify122.0ms (1.9%)

prune108.0ms (1.7%)

regimes215.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.6s (40%)

Profiling